integer assignment grade 6

• 6th Grade Math

Grade 6 integers worksheets: Graphing and comparing integers

Hello, and welcome to the world of integers! Our concern in this article is to teach Grade 6 students how to graph integers on a number line and compare them using greater than, less than, or equal to symbols. So, why wait? Visit Mathskills4kids.com and download outstanding Grade 6 integers worksheets designed to offer your child the best Graphing and comparing integers skills.

Unlocking the Power of Integers: Grade 6 Graphing and Comparing Worksheets

Ready to take your students' math skills to the next level? Introducing our Grade 6 Graphing and Comparing Worksheets , designed to unlock the power of integers and make learning math an engaging experience.

With these worksheets, your students will develop a deep understanding of graphing and comparing integers, allowing them to tackle real-world math problems confidently. Our carefully crafted exercises provide ample practice in interpreting number lines , plotting points , and identifying patterns , ensuring your students master these essential skills.

But it's not all about numbers - our worksheets are designed to be interactive and fun, with colorful visuals and relatable examples that keep students engaged and excited to learn.

Whether teaching in a traditional classroom or through remote learning, our Grade 6 Graphing and Comparing Worksheets are the perfect tool to enhance your math curriculum and empower your students to excel in their mathematical journey. Get ready to see their confidence soar as they unlock the power of integers!

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What are integers, and how to graph them on a number line.

Do you know what integers are ? Do you also know how to graph them on a number line ? Let’s find out together!

Integers are whole numbers that can be positive, negative, or zero. For example, 3, -5, 0, 12, and -8 are all integers. A number line is a horizontal line that has numbers marked on it. The number zero is in the middle of the line, and the positive numbers are to the right of zero, while the negative numbers are to the left of zero.

To graph an integer on a number line, find the point corresponding to that number and make a dot or a circle on it. For example, to graph 3 on a number line, make a dot on the point that is three units to the right of zero. To graph -5 on a number line, make a dot on the point that is five units to the left of zero.

Understanding positive and negative integers

Positive and negative integers have different meanings depending on the context. For example;

• If we are talking about temperature, a positive integer means that it is above zero degrees Celsius. In contrast, a negative integer means that it is below zero degrees Celsius.
• If we are talking about elevation, a positive integer means that we are above sea level, while a negative integer means that we are below sea level.
• If we are talking about money, a positive integer means that we have gained or earned some amount, while a negative integer means that we have lost or spent some amount.

How to compare integers using greater than, less than, or equal to symbols

To compare two integers , we use the symbols > (greater than), < (less than), or = (equal to ). For example:

• 3 > -5 means that 3 is greater than -5,
• -8 < 0 means that -8 is less than 0,
• 12 = 12 means that 12 is equal to

To compare two integers on a number line, we look at their relative positions. The integer that is closer to the right of the number line is greater than the integer that is closer to the left of the number line. For example, 3 is greater than -5 on a number line because 3 is closer to the right than -5. Similarly, -8 is less than 0 because -8 is closer to the left than 0.

How to use absolute value to find the distance between two integers

The absolute value of an integer is its distance from zero on a number line. It is always positive or zero. To find the absolute value of an integer, we ignore its sign and write it as a positive number. For example, the absolute value of 3 is 3, the absolute value of -5 is 5, and the absolute value of 0 is 0. To find the distance between two integers on a number line , we can use their absolute values .

The distance between two integers equals the difference between their absolute values. For example, to find the distance between 3 and -5 on a number line, we can subtract their absolute values: |3| - |-5| = 3 - 5 = 2. The distance between 3 and -5 is 2 units.

Solving real-world problems using graphing and comparing integers

We can use graphing and comparing integers to solve many real-world problems involving temperature, elevation, money, etc. For example, suppose we want to know how much warmer it was in Miami than in New York on a particular day; we can use a number line to graph the temperatures in both cities and compare them using symbols.

Suppose Miami had a temperature of 25°C and New York was -2°C.

We can graph these temperatures on a number line as shown below:

As we can see, Miami is warmer than New York because 25 is greater than -2 on the number line.

So, we can write this as 25 > -2.

To find out how much warmer Miami was than New York, we can subtract their temperatures: 25 - (-2) = 25 + 2 = 27.

Miami was 27°C warmer than New York.

Tips and tricks for mastering integers in Grade 6 math

Here are some tips and tricks for mastering integers in grade 6 math :

When adding two integers with different signs, we subtract their absolute values and take the sign of the larger absolute value.

The result is positive when multiplying or dividing two integers with the same sign. The result is negative when multiplying or dividing two integers with different signs.

• Use a number line to visualize and compare integers . A number line can also help us perform operations with integers, such as adding, subtracting, and finding absolute values.
• Use real-world examples to understand and apply integers . For example, we can use temperature, elevation, money, time, and more to represent and solve problems with integers.
• Practice, practice, practice ! The more students practice with integers, the more confident and comfortable they will become with them. Encourage your 6 th Grade students to use worksheets, games, quizzes, puzzles, and more to practice their skills with integers.

Grade 6 graphing and comparing integers worksheets for practice

If you want to test your 6 th grader's skills and knowledge on graphing and comparing integers , you can try Mathskills4kids’ Grade 6 integers worksheets that cover the topics we discussed in this article.

You can download and print them out for free or do them online with your students. Each worksheet has a set of questions, an answer key, and an explanation of how to solve each problem.

You can also check your student’s progress with a score report that shows how many questions they answered correctly and how long it took them to complete the worksheet.

• Understanding integers : This worksheet helps students review the basics of integers, such as what they are, how to write them, and how to identify them on a number line. They will also practice adding and subtracting integers using the rules of signs.
• Integers on number lines : This worksheet will help 6 th graders to practice graphing integers on horizontal and vertical number lines. They will also learn how to use arrows to show the direction and magnitude of an integer.
• Graph integers on horizontal and vertical number lines : This worksheet will help learners practice graphing integers on horizontal and vertical number lines . They will also learn how to label the points with their coordinates and how to find the coordinates of a point given its graph.
• Understand absolute value : This worksheet will help students understand the concept of absolute value, which is the distance of an integer from zero on a number line. They will also learn how to find the absolute value of an integer using brackets or a vertical bar symbol .
• Absolute value and opposite integers : This worksheet will help 6 th Grade students practice finding the absolute value and the opposite of an integer . They will also learn how to use the properties of absolute value and opposite integers to simplify expressions and solve equations.
• Compare integers : This worksheet will help learners practice comparing integers using greater than, less than, or equal to symbols . They will also learn how to use a number line to compare integers visually and how to order integers from least to greatest or vice versa.
• Put integers in order : This worksheet will help 6 th graders practice putting integers from least to greatest or from greatest to least . They will also learn how to use a number line to check their answers and arrange integers in ascending or descending order.
• Integers inequalities with absolute values : This worksheet will help students practice solving inequalities that involve integers and absolute values . They will also learn how to graph the solutions of inequalities on a number line and write the solutions using interval or set notation.
• Integers and absolute values word problems : This worksheet will help children practice solving real-world problems that involve integers and absolute values. They will also learn how to translate words into mathematical expressions and equations and how to use different strategies to solve word problems.

Bonus: additional resources for further learning integers and practice

If you want to help your 6 th Grade students learn more about integers and practice their skills with them, here are some additional resources you can explore online. These resources include videos, games, quizzes, puzzles, and more to help them understand and enjoy integers.

• [ Khan Academy: Integers ]( https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic ) - This website has video lessons, interactive exercises, and quizzes on integers and negative numbers. 6 th graders can learn about the basics of integers, how to add, subtract, multiply, and divide them, and how to use them in word problems.
• [ IXL: Grade 6 Integers ]( https://www.ixl.com/math/grade-6/integers ) - This website has online worksheets on various topics related to integers, such as graphing, comparing, ordering, absolute value, and operations. Students can get instant feedback and track their progress as they practice.
• [ Math Goodies: Integer Worksheets ]( https://www.mathgoodies.com/lessons/vol5/compare_order ) - This website has printable worksheets on graphing and comparing integers. You can choose the difficulty level of students, the number of questions, and the worksheet format. You can also get the answer keys and explanations for each question.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Integers are an essential part of grade 6 math. They help students represent many things in math and real life, such as temperature, elevation, money, etc.

They also help learners perform adding, subtracting, multiplying, and dividing operations. By learning how to graph and compare integers on a number line, your 6 th graders can understand the meaning of positive and negative integers, use symbols to compare them, use absolute value to find the distance between them and solve real-world problems using them.

By following the tips and tricks in this article and using the worksheets and resources provided, your children can master integers in grade 6 math. They can also have fun and enjoy learning about integers. Integers are powerful tools that will help 6 th graders unlock many mathematical concepts and skills in the future. So please encourage your students not to fear integers; they should instead embrace them!

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• 6th Grade Math Worksheets

Printable integers exercises with answers

Get a speedy grasp of integer’s fluency with Grade 6 integers worksheets: Graphing and comparing integers . The mastery and functioning of natural numbers and their negatives is of great use to young mathematicians, both in advanced math concepts and in real life. In line with this, our well modelled and fun printable integers exercises with answers are a perfect guide to kid’s knowledge of where and when to use positive and negative integers.

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Important facts about integers for grade 6

It is commonly observed that most kids face difficulties when dealing with positive and negative numbers. Without much stress, get quick solutions to your kid’s difficulty with these inspirational printable integers exercises . You’ll consequently boast of their instant and concrete understanding of integers.

How can mental models enhance a deeper insight into the functioning of integers?

Grade 6 integers worksheets: Graphing and comparing integers are enriched with amazing mental models, these tools are helpful to allow kids easily visualize and bring together the reality of positive and negative numbers in real world contexts.

You’ll however find here simple tricks on how mental models can enhance a deeper insight into the functioning of integers . This is evidenced with our printable integers exercises with answers such as understanding integers (integer number line), understand absolute value, graph integers on vertical and horizontal number line, etc.

These number lines will enable kids to understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Also, they’ll concretely use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

Interest in developing simple strategies fast learning integers

Our interest in developing simple strategies fast learning integers is as regards the importance and use of both positive and negative numbers in math. Hence, understanding integers is a great way for kids to easily;

• Compare numbers, mindless of how big or small they appear
• Understand absolute value
• Understand opposite integers etc.

Besides, engaging in our Grade 6 integers worksheets: Graphing and comparing integers do not only offer opportunities to gains in math classes but also to other subjects, as well as real life situations. The following real life concepts are best to use when referring to negative integers;

• Temperature below zero
• Owing money

N.B :      

Any number below zero is a negative integer.

With negative integers, as the digit gets bigger, the number gets smaller. For instance -9 is smaller than -4.

6th Grade Integers Worksheets

6th grade integers worksheets give students a better understanding of how to work with integers. These worksheets incorporate questions based on applying arithmetic operators to integers, representing them on a number line, and word problems based on this concept.

Benefits of 6th Grade Math Worksheets Integers

Integers from a topic that is integral to understanding the number system. Hence, students must be well versed in this topic. 6th grade integers worksheets consist of several questions that enable children to get rid of any confusion they might have regarding the topic. As these questions are arranged in a well-structured manner, students find it easy to navigate through the sums. These 6th grade math worksheets also include answer keys that can be used by kids in case of any doubts.

Printable PDFs for Integers 6th Grade Worksheets

The integers grade 6 worksheets is free to download, easy to use, and is provided with several visual simulations for the benefit of the student.

• Math 6th Grade Integers Worksheet
• 6th Grade Integers Math Worksheet
• Sixth Grade Integers Worksheet
• Grade 6 Math Integers Worksheet

Explore more topics at Cuemath's Math Worksheets .

Integers Worksheets

Welcome to the integers worksheets page at Math-Drills.com where you may have a negative experience, but in the world of integers, that's a good thing! This page includes Integers worksheets for comparing and ordering integers, adding, subtracting, multiplying and dividing integers and order of operations with integers.

If you've ever spent time in Canada in January, you've most likely experienced a negative integer first hand. Banks like you to keep negative balances in your accounts, so they can charge you loads of interest. Deep sea divers spend all sorts of time in negative integer territory. There are many reasons why a knowledge of integers is helpful even if you are not going to pursue an accounting or deep sea diving career. One hugely important reason is that there are many high school mathematics topics that will rely on a strong knowledge of integers and the rules associated with them.

We've included a few hundred integers worksheets on this page to help support your students in their pursuit of knowledge. You may also want to get one of those giant integer number lines to post if you are a teacher, or print off a few of our integer number lines. You can also project them on your whiteboard or make an overhead transparency. For homeschoolers or those with only one or a few students, the paper versions should do. The other thing that we highly recommend are integer chips a.k.a. two-color counters. Read more about them below.

Most Popular Integers Worksheets this Week

Integer Resources

Coordinate graph paper can be very useful when studying integers. Coordinate geometry is a practical application of integers and can give students practice with using integers while learning another related skill. Coordinate graph paper can be found on the Graph Paper page:

Coordinate Graph Paper

Integer number lines can be used for various math activities including operations with integers, counting, comparing, ordering, etc.

• Integer Number Lines Integers Number Lines from -10 to 10 Integers Number Lines from -15 to 15 Integers Number Lines from -20 to 20 Integers Number Lines from -25 to 25 OLD Integer Number Lines

Comparing and Ordering Integers

For students who are just starting with integers, it is very helpful if they can use an integer number line to compare integers and to see how the placement of integers works. They should quickly realize that negative numbers are counter-intuitive because they are probably quite used to larger absolute values meaning larger numbers. The reverse is the case, of course, with negative numbers. Students should be able to recognize easily that a positive number is always greater than a negative number and that between two negative integers, the one with the lesser absolute value is actually the greater number. Have students practice with these integers worksheets and follow up with the close proximity comparing integers worksheets.

• Comparing Integers Worksheets Comparing Positive and Negative Integers (-9 to +9) Comparing Positive and Negative Integers (-15 to +15) Comparing Positive and Negative Integers (-25 to +25) Comparing Positive and Negative Integers (-50 to +50) Comparing Positive and Negative Integers (-99 to +99) Comparing Negative Integers (-15 to -1)

By close proximity, we mean that the integers being compared differ very little in value. Depending on the range, we have allowed various differences between the two integers being compared. In the first set where the range is -9 to 9, the difference between the two numbers is always 1. With the largest range, a difference of up to 5 is allowed. These worksheets will help students further hone their ability to visualize and conceptualize the idea of negative numbers and will serve as a foundation for all the other worksheets on this page.

• Comparing Integers in Close Proximity Comparing Positive and Negative Integers (-9 to +9) in Close Proximity Comparing Positive and Negative Integers (-15 to +15) in Close Proximity Comparing Positive and Negative Integers (-25 to +25) in Close Proximity Comparing Positive and Negative Integers (-50 to +50) in Close Proximity Comparing Positive and Negative Integers (-99 to +99) in Close Proximity
• Ordering Integers Worksheets Ordering Integers on a Number Line Ordering Integers (range -9 to 9) Ordering Integers (range -20 to 20) Ordering Integers (range -50 to 50) Ordering Integers (range -99 to 99) Ordering Integers (range -999 to 999) Ordering Negative Integers (range -9 to -1) Ordering Negative Integers (range -99 to -10) Ordering Negative Integers (range -999 to -100)

Adding and Subtracting Integers

Two-color counters are fantastic manipulatives for teaching and learning about integer addition. Two-color counters are usually plastic chips that come with yellow on one side and red on the other side. They might be available in other colors, so you'll have to substitute your own colors in the following description.

Adding with two-color counters is actually quite easy. You model the first number with a pile of chips flipped to the correct side and you also model the second number with a pile of chips flipped to the correct side; then you mash them all together, take out the zeros (if any) and behold, you have your answer! Need further elaboration? Read on!

The correct side means using red to model negative numbers and yellow to model positive numbers. You would model —5 with five red chips and 7 with seven yellow chips. Mashing them together should be straight forward although, you'll want to caution your students to be less exuberant than usual, so none of the chips get flipped. Taking out the zeros means removing as many pairs of yellow and red chips as you can. You can do this because —1 and 1 when added together equals zero (this is called the zero principle). If you remove the zeros, you don't affect the answer. The benefit of removing the zeros, however, is that you always end up with only one color and as a consequence, the answer to the integer question. If you have no chips left at the end, the answer is zero!

• Adding Integers Worksheets with 75 Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (75 Questions) ✎ Adding Integers from -12 to 12 (75 Questions) ✎ Adding Integers from -15 to 15 (75 Questions) ✎ Adding Integers from -20 to 20 (75 Questions) ✎ Adding Integers from -25 to 25 (75 Questions) ✎ Adding Integers from -50 to 50 (75 Questions) ✎ Adding Integers from -99 to 99 (75 Questions) ✎
• Adding Integers Worksheets with 75 Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Adding Integers Worksheets with 75 Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (75 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (75 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (75 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (75 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (75 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (75 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (50 Questions) ✎ Adding Integers from -12 to 12 (50 Questions) ✎ Adding Integers from -15 to 15 (50 Questions) ✎ Adding Integers from -20 to 20 (50 Questions) ✎ Adding Integers from -25 to 25 (50 Questions) ✎ Adding Integers from -50 to 50 (50 Questions) ✎ Adding Integers from -99 to 99 (50 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (50 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (50 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (50 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (50 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (50 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (50 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (Large Print; 25 Questions) ✎ Adding Integers from -12 to 12 (Large Print; 25 Questions) ✎ Adding Integers from -15 to 15 (Large Print; 25 Questions) ✎ Adding Integers from -20 to 20 (Large Print; 25 Questions) ✎ Adding Integers from -25 to 25 (Large Print; 25 Questions) ✎ Adding Integers from -50 to 50 (Large Print; 25 Questions) ✎ Adding Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (Large Print; 25 Questions) ✎
• Vertically Arranged Integer Addition Worksheets 3-Digit Integer Addition (Vertically Arranged) 3-Digit Positive Plus a Negative Integer Addition (Vertically Arranged) 3-Digit Negative Plus a Positive Integer Addition (Vertically Arranged) 3-Digit Negative Plus a Negative Integer Addition (Vertically Arranged)

Subtracting with integer chips is a little different. Integer subtraction can be thought of as removing. To subtract with integer chips, begin by modeling the first number (the minuend) with integer chips. Next, remove the chips that would represent the second number from your pile and you will have your answer. Unfortunately, that isn't all there is to it. This works beautifully if you have enough of the right color chip to remove, but often times you don't. For example, 5 - (-5), would require five yellow chips to start and would also require the removal of five red chips, but there aren't any red chips! Thank goodness, we have the zero principle. Adding or subtracting zero (a red chip and a yellow chip) has no effect on the original number, so we could add as many zeros as we wanted to the pile, and the number would still be the same. All that is needed then is to add as many zeros (pairs of red and yellow chips) as needed until there are enough of the correct color chip to remove. In our example 5 - (-5), you would add 5 zeros, so that you could remove five red chips. You would then be left with 10 yellow chips (or +10) which is the answer to the question.

• Subtracting Integers Worksheets with 75 Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (75 Questions) ✎ Subtracting Integers from -12 to 12 (75 Questions) ✎ Subtracting Integers from -15 to 15 (75 Questions) ✎ Subtracting Integers from -20 to 20 (75 Questions) ✎ Subtracting Integers from -25 to 25 (75 Questions) ✎ Subtracting Integers from -50 to 50 (75 Questions) ✎ Subtracting Integers from -99 to 99 (75 Questions) ✎
• Subtracting Integers Worksheets with 75 Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Subtracting Integers Worksheets with 75 Questions Per Page (No Parentheses) Subtracting Integers from -9 to 9 No Parentheses (75 Questions) ✎ Subtracting Integers from -12 to 12 No Parentheses (75 Questions) ✎ Subtracting Integers from -15 to 15 No Parentheses (75 Questions) ✎ Subtracting Integers from -20 to 20 No Parentheses (75 Questions) ✎ Subtracting Integers from -25 to 25 No Parentheses (75 Questions) ✎ Subtracting Integers from -50 to 50 No Parentheses (75 Questions) ✎ Subtracting Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (50 Questions) ✎ Subtracting Integers from -12 to 12 (50 Questions) ✎ Subtracting Integers from -15 to 15 (50 Questions) ✎ Subtracting Integers from -20 to 20 (50 Questions) ✎ Subtracting Integers from -25 to 25 (50 Questions) ✎ Subtracting Integers from -50 to 50 (50 Questions) ✎ Subtracting Integers from -99 to 99 (50 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (No Parentheses) Subtracting Integers from -9 to 9 No Parentheses (50 Questions) ✎ Subtracting Integers from -12 to 12 No Parentheses (50 Questions) ✎ Subtracting Integers from -15 to 15 No Parentheses (50 Questions) ✎ Subtracting Integers from -20 to 20 No Parentheses (50 Questions) ✎ Subtracting Integers from -25 to 25 No Parentheses (50 Questions) ✎ Subtracting Integers from -50 to 50 No Parentheses (50 Questions) ✎ Subtracting Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (Large Print; 25 Questions) ✎ Subtracting Integers from -12 to 12 (Large Print; 25 Questions) ✎ Subtracting Integers from -15 to 15 (Large Print; 25 Questions) ✎ Subtracting Integers from -20 to 20 (Large Print; 25 Questions) ✎ Subtracting Integers from -25 to 25 (Large Print; 25 Questions) ✎ Subtracting Integers from -50 to 50 (Large Print; 25 Questions) ✎ Subtracting Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Subtracting Integers from (-9) to 9 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-12) to 12 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-15) to 15 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-20) to 20 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-25) to 25 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-50) to 50 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-99) to 99 No Parentheses (Large Print; 25 Questions) ✎
• Vertically Arranged Integer Subtraction Worksheets 3-Digit Integer Subtraction (Vertically Arranged) 3-Digit Positive Minus a Positive Integer Subtraction (Vertically Arranged) 3-Digit Positive Minus a Negative Integer Subtraction (Vertically Arranged) 3-Digit Negative Minus a Positive Integer Subtraction (Vertically Arranged) 3-Digit Negative Minus a Negative Integer Subtraction (Vertically Arranged)

The worksheets in this section include addition and subtraction on the same page. Students will have to pay close attention to the signs and apply their knowledge of integer addition and subtraction to each question. The use of counters or number lines could be helpful to some students.

• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (75 Questions) ✎ Adding & Subtracting Integers from -10 to 10 (75 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (75 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (75 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (75 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (75 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (75 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-5) to (+5) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (No Parentheses) Adding & Subtracting Integers from -9 to 9 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -12 to 12 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -15 to 15 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -20 to 20 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -25 to 25 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -50 to 50 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (50 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (50 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (50 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (50 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (50 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (50 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (No Parentheses) Adding & Subtracting Integers from -9 to 9 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -12 to 12 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -15 to 15 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -20 to 20 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -25 to 25 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -50 to 50 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Adding & Subtracting Integers from (-9) to 9 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-12) to 12 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-15) to 15 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-20) to 20 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-25) to 25 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-50) to 50 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-99) to 99 No Parentheses (Large Print; 25 Questions) ✎

These worksheets include groups of questions that all result in positive or negative sums or differences. They can be used to help students see more clearly how certain integer questions end up with positive and negative results. In the case of addition of negative and positive integers, some people suggest looking for the "heavier" value to determine whether the sum will be positive of negative. More technically, it would be the integer with the greater absolute value. For example, in the question (−2) + 5, the absolute value of the positive integer is greater, so the sum will be positive.

In subtraction questions, the focus is on the subtrahend (the value being subtracted). In positive minus positive questions, if the subtrahend is greater than the minuend, the answer will be negative. In negative minus negative questions, if the subtrahend has a greater absolute value, the answer will be positive. Vice-versa for both situations. Alternatively, students can always convert subtraction questions to addition questions by changing the signs (e.g. (−5) − (−7) is the same as (−5) + 7; 3 − 5 is the same as 3 + (−5)).

• Scaffolded Integer Addition and Subtraction Positive Plus Negative Integer Addition (Scaffolded) ✎ Negative Plus Positive Integer Addition (Scaffolded) ✎ Mixed Integer Addition (Scaffolded) ✎ Positive Minus Positive Integer Subtraction (Scaffolded) ✎ Negative Minus Negative Integer Subtraction (Scaffolded) ✎

Multiplying and Dividing Integers

Multiplying integers is very similar to multiplication facts except students need to learn the rules for the negative and positive signs. In short, they are:

In words, multiplying two positives or two negatives together results in a positive product, and multiplying a negative and a positive in either order results in a negative product. So, -8 × 8, 8 × (-8), -8 × (-8) and 8 × 8 all result in an absolute value of 64, but in two cases, the answer is positive (64) and in two cases the answer is negative (-64).

Should you wish to develop some "real-world" examples of integer multiplication, it might be a stretch due to the abstract nature of negative numbers. Sure, you could come up with some scenario about owing a debt and removing the debt in previous months, but this may only result in confusion. For now students can learn the rules of multiplying integers and worry about the analogies later!

• Multiplying Integers with 100 Questions Per Page Multiplying Mixed Integers from -9 to 9 (100 Questions) ✎ Multiplying Positive by Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying Negative by Positive Integers from -9 to 9 (100 Questions) ✎ Multiplying Negative by Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying Mixed Integers from -12 to 12 (100 Questions) ✎ Multiplying Positive by Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying Negative by Positive Integers from -12 to 12 (100 Questions) ✎ Multiplying Negative by Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying Mixed Integers from -20 to 20 (100 Questions) ✎ Multiplying Mixed Integers from -50 to 50 (100 Questions) ✎
• Multiplying Integers with 50 Questions Per Page Multiplying Mixed Integers from -9 to 9 (50 Questions) ✎ Multiplying Positive by Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying Negative by Positive Integers from -9 to 9 (50 Questions) ✎ Multiplying Negative by Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying Mixed Integers from -12 to 12 (50 Questions) ✎ Multiplying Positive by Negative Integers from -12 to 12 (50 Questions) ✎ Multiplying Negative by Positive Integers from -12 to 12 (50 Questions) ✎ Multiplying Negative by Negative Integers from -12 to 12 (50 Questions) ✎
• Multiplying Integers with 25 Large Print Questions Per Page Multiplying Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Positive by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Negative by Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Negative by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Positive by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Negative by Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Negative by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

Luckily (for your students), the rules of dividing integers are the same as the rules for multiplying:

Dividing a positive by a positive integer or a negative by a negative integer will result in a positive integer. Dividing a negative by a positive integer or a positive by a negative integer will result in a negative integer. A good grasp of division facts and a knowledge of the rules for multiplying and dividing integers will go a long way in helping your students master integer division. Use the worksheets in this section to guide students along.

• Dividing Integers with 100 Questions Per Page Dividing Mixed Integers from -9 to 9 (100 Questions) ✎ Dividing Positive by Negative Integers from -9 to 9 (100 Questions) ✎ Dividing Negative by Positive Integers from -9 to 9 (100 Questions) ✎ Dividing Negative by Negative Integers from -9 to 9 (100 Questions) ✎ Dividing Mixed Integers from -12 to 12 (100 Questions) ✎ Dividing Positive by Negative Integers from -12 to 12 (100 Questions) ✎ Dividing Negative by Positive Integers from -12 to 12 (100 Questions) ✎ Dividing Negative by Negative Integers from -12 to 12 (100 Questions) ✎
• Dividing Integers with 50 Questions Per Page Dividing Mixed Integers from -9 to 9 (50 Questions) ✎ Dividing Positive by Negative Integers from -9 to 9 (50 Questions) ✎ Dividing Negative by Positive Integers from -9 to 9 (50 Questions) ✎ Dividing Negative by Negative Integers from -9 to 9 (50 Questions) ✎ Dividing Mixed Integers from -12 to 12 (50 Questions) ✎ Dividing Positive by Negative Integers from -12 to 12 (50 Questions) ✎ Dividing Negative by Positive Integers from -12 to 12 (50 Questions) ✎ Dividing Negative by Negative Integers from -12 to 12 (50 Questions) ✎
• Dividing Integers with 25 Large Print Questions Per Page Dividing Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Positive by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Negative by Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Negative by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Positive by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Negative by Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Negative by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

This section includes worksheets with both multiplying and dividing integers on the same page. As long as students know their facts and the integer rules for multiplying and dividing, their sole worry will be to pay attention to the operation signs.

• Multiplying and Dividing Integers with 100 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (100 Questions) ✎
• Multiplying and Dividing Integers with 75 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (75 Questions) ✎
• Multiplying and Dividing Integers with 50 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (50 Questions) ✎
• Multiplying and Dividing Integers with 25 Large Print Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

All Operations with Integers

In this section, the integers math worksheets include all of the operations. Students will need to pay attention to the operations and the signs and use mental math or another strategy to arrive at the correct answers. It should go without saying that students need to know their basic addition, subtraction, multiplication and division facts and rules regarding operations with integers before they should complete any of these worksheets independently. Of course, the worksheets can be used as a source of questions for lessons, tests or other learning activities.

• All Operations with Integers with 50 Questions Per Page (Some Parentheses) All operations with integers from -9 to 9 (50 Questions) ✎ All operations with integers from -12 to 12 (50 Questions) ✎ All operations with integers from -15 to 15 (50 Questions) ✎ All operations with integers from -20 to 20 (50 Questions) ✎ All operations with integers from -25 to 25 (50 Questions) ✎ All operations with integers from -50 to 50 (50 Questions) ✎ All operations with integers from -99 to 99 (50 Questions) ✎
• All Operations with Integers with 50 Questions Per Page (All Parentheses) All operations with integers from (-9) to (+9) All Parentheses (50 Questions) ✎ All operations with integers from (-12) to (+12) All Parentheses (50 Questions) ✎ All operations with integers from (-15) to (+15) All Parentheses (50 Questions) ✎ All operations with integers from (-20) to (+20) All Parentheses (50 Questions) ✎ All operations with integers from (-25) to (+25) All Parentheses (50 Questions) ✎ All operations with integers from (-50) to (+50) All Parentheses (50 Questions) ✎ All operations with integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• All Operations with Integers with 50 Questions Per Page (No Parentheses) All operations with integers from -9 to 9 No Parentheses (50 Questions) ✎ All operations with integers from -12 to 12 No Parentheses (50 Questions) ✎ All operations with integers from -15 to 15 No Parentheses (50 Questions) ✎ All operations with integers from -20 to 20 No Parentheses (50 Questions) ✎ All operations with integers from -25 to 25 No Parentheses (50 Questions) ✎ All operations with integers from -50 to 50 No Parentheses (50 Questions) ✎ All operations with integers from -99 to 99 No Parentheses (50 Questions) ✎

Order of operations with integers can be found on the Order of Operations page:

Order of Operations with Integers

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Integer Worksheets

Integer worksheets contain a huge collection of practice pages based on the concepts of addition, subtraction, multiplication, and division. Exclusive pages to compare and order integers and representing integers on a number line are given here with a variety of activities and exercises. These pdf worksheets provide abundant practice for 6th grade, 7th grade, and 8th grade students. Explore some of them for free!

» Adding and Subtracting Integers

» Multiplying and Dividing Integers

» Comparing and Ordering Integers

» Integers on a Number Line

Representation of Integers

These integer worksheets are based on simple real-life scenarios. Read each statement to represent the integers. Each pdf worksheet has ten statements.

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Opposite Value of Integers

Write the opposite value of integers and also mark them on a number line in these worksheets. Three different sections are here for practice.

Opposite vs Absolute Value

In the first two sections write the opposite value and absolute value of integers. Compare the opposite and absolute value of integers in the third section.

Mixed Operations: Level 1

Acquaint young students with addition, subtraction, multiplication and division of integers with this set of printable worksheets featuring integers up to 20. Take a special note of the signs while performing the arithmetic operations.

Mixed Operations: Level 2

Elevate your learning to the next level by working out the problems in these exercises that include integers up to 99. Add, subtract, multiply and divide the positive and negative numbers to get an ample understanding of integers.

Mixed Review: Multiple Choice Questions

Reinforce students' knowledge on integers by practicing these multiple-choice questions. Each pdf worksheet contains seven MCQs.

Mixed Review: True or False

Ten statements on integer facts are given in these mixed review worksheets for grade 6 and grade 7. Write true or false against each statement.

Evaluating Integers

In these printable integer worksheets, grade 7 and grade 8 students substitute the values of the unknown variables in the given expressions and evaluate them.

Add-On Practice Worksheets

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Class 6 Mathematics Integers Worksheets

We have provided below free printable  Class 6 Mathematics Integers Worksheets  for Download in PDF. The worksheets have been designed based on the latest  NCERT Book for Class 6 Mathematics Integers . These  Worksheets for Grade 6 Mathematics Integers  cover all important topics which can come in your standard 6 tests and examinations.  Free printable worksheets for CBSE Class 6 Mathematics Integers , school and class assignments, and practice test papers have been designed by our highly experienced class 6 faculty. You can free download CBSE NCERT printable worksheets for Mathematics Integers Class 6 with solutions and answers. All worksheets and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Integers Class 6. Students can click on the links below and download all Pdf  worksheets for Mathematics Integers class 6  for free. All latest Kendriya Vidyalaya  Class 6 Mathematics Integers Worksheets  with Answers and test papers are given below.

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6th Grade Integers: An Introduction to Integers for 6th Grade Students

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• Pre-Algebra

In 6th grade, you'll learn how to compare and order positive and negative integers. You'll also study absolute value. Read on for an explanation of these concepts and more!

Intro to Integers

Integers include all whole numbers (0, 1, 2, 3…) and the negatives of the natural numbers (-1, -2, -3…). Up until 6th grade, you've probably just studied positive integers, but now you'll learn to work with negative integers as well.

Comparing Integers

You may already know how to compare whole numbers using the greater than and less than signs. For instance, 5 > 3 and 8 < 10. You can use these signs with negative integers, too. Just remember the integer that's farther to the right on the number line is greater. That means if you're comparing a negative integer with a positive one, the positive integer will always be greater because it's farther to the right. If you're comparing two negative integers, the one that's closer to zero is greater. Here are a few examples:

Ordering Integers

When we compare more than two integers, this is called ordering . To put a set of integers in order, follow the same rules that you use for comparing, and pay close attention to whether you're listing the integers from greatest to least or least to greatest. Here's a sample list of integers ordered from least to greatest:

-12 < -4 < 0 < 4 < 12

Absolute Value

An integer's absolute value is its physical distance from zero on a number line. Absolute values are always stated as positive integers. Since 14 and -14 are both the same physical distance from zero - just in opposite directions - their absolute values are both 14. Absolute value is indicated by placing vertical bars on either side of a number. For example, |-14| = 14 is read, 'The absolute value of -14 equals 14.' Here are a few more examples:

Once you've mastered absolute values, you might be asked to compare them like you did with integers. Remember that you're comparing the absolute values, not the integers themselves. For instance, |-7| > 6 because |-7| = 7 and 7 > 6.

Integers in Real Life

Positive and negative integers are used in lots of real-life situations to show amounts relative to zero. For example, when the temperature drops below zero, we say that it is negative. School might be canceled if it is -30 degrees outside. Positive and negative integers are also used with money. If you spend more money than you have in your bank account, your balance will be negative, which means you owe the bank money. For instance, if you had $50 in your account, and you spent $75, your balance would be -$25.

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Grade 6 - The Number System

Standard 6.NS.C.5 - Understand and express integers to represent real life situations.

Included Skills:

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

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Class vi math, class 6 integers, introduction to integers, integers on the number line, ordering of integers, absolute value of an integer, addition of integers using number lines, addition of two like integers, addition of unlike integers, properties of addition, subtraction of integers using number lines, subtraction of integers.

Integers Test

Integers Worksheet

Answer Sheet

Set of positive numbers, zero and negative numbers is known as integers. ..., −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, ...

1, 2 , 3, 4, 5, ... are knwon as positive integers. −1, −2, −3, −4, −5 are known as negative integers

The number zero is an integer. It is neither positive nor negative.

Let's draw a line and mark a point in the middle of it. We number this point with zero.

We mark equal distances on the right as well on the left of zero. On the right side of zero label the points with numbers 1, 2, 3, 4, 5, ... and on the left side of the zero label the points with numbers −1, −2, −3, −4, −5, ....

So, we can represent all the integers on a number line as shown in the above figure.

Between two given integers, the integer occurring on the right side on the number line is greater than that occurring on the left side.

For Example.       5 > 2, since 5 is to the right of 2.       3 > 0, since 3 is to the right of 0.       0 > −2, since 0 is to the right of −2.       −5 > −8, since −5 is to the right of −8.

Some basic rules are provided below. 1. Every positive integer is greater than zero. 2. Zero is greater than every negative integer. 3. Every positive integer is greater than every negative integer.

The absolute value of an integer 'p' is the numerical value of 'p' regardless of it's sign. We denote the absolute value of 'p', by |p|. Let's see some examples.

Example 1. Find the absolute value of −5. Solution. |−5| = 5.

Example 2. Find the absolute value of 12. Solution. |12| = 12.

Example 3. Find the value of |−12 + (−15)|. Solution. |−12 + (&minus15)| = |−12 −15)| = |−27| = 27.

Example 4. Find the value of |25 − (−45 + 15)|. Solution. |25 − (−45 + 15)| = |25 − (−30)| = |25 + 30| = |55| = 55

We have already known how to add two whole numbers using number lines. Let's see some examples.

Let's extend this method of addition of whole numbers to the integers.

When integers have same signs, we add their absolute values and assign the same sign to the sum. Let's see some examples.

Example 1. Add + 4 and +5. Solution. (+4) + (+5) = + {|+4| + |+5|} = + {4 + 5} = +9

Example 2. Add −5 and −8. Solution. (−5) + (−8) = − {|−5| + |−8|} = − {5 + 8} = −13

When integers have different signs, we determine the difference of their absolute values, and assign the sign of the integer having greater absolute value. Let's see some examples.

Example 1. Add −7 and 19. Solution. Absolute value of −7 = |−7| = 7 Absolute value of 19 = |+19| = 19 Difference of absolute values is 19 − 7 = 12 Since the integer with greater absolute value is +19, and it's sign is +. (−7) + (+19) = +12

Example 2. Add −25 and +5. Solution. Absolute value of −25 = |−25| = 25 Absolute value of +5 = |+5| = 5 Difference of absolute values is 25 − 5 = 20 Since the integer with greater absolute value is −25, and it's sign is −. (−25) + (+5) = −20

1. If 'a' and 'b' are any two integers, then a + b is also an integer. 2. If 'a' and 'b' are any two integers, then a + b = b + a. 3. If 'a', 'b' and 'c' are any three integers, then a + (b + c) = (a + b) + c 4. If 'a' is in integer, then a + 0 = 0 + a = a. 5. The sum of any integer and it's opposite integer (known as additive inverse) is zero. a + (−a) = 0 6. If a > b, then a + c > b + c and if a < b, a + c < b + c, where a, b, c are any integers.

To subtract a positive integer, we must move to the left on the number line. Let's see some examples.

To subtract a negative integer, we must move to the right on the number line. Let's have a look at some examples.

Subtraction of one integer from another integer is same as adding the additive inverse of the integer that is being subtracted to the other integer. Let's see some examples.

Example 1. Subtract 6 from 15. Solution. Additive inverse of 6 is −6. 15 − 6 = 15 + (−6) = 9.

Example 2. Subtract 5 from −7. Solution. Additive inverse of 5 is −5. −7 − 5 = −7 + (−5) = −12.

Example 3. Subtract −232 from −165. Solution. −165 − (−232) = −165 + 232 = 67

Class-6 Integers Test

Integers Test - 1

Integers Test - 2

Class-6 Integers Worksheet

Integers Worksheet - 1

Integers Worksheet - 2

Integers Worksheet - 3

Integers Worksheet - 4

Integers-Answer Download the pdf

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Grade 6 Integers Worksheets

Grade 6 maths integers multiple choice questions (mcqs).

1. 2 subtracted from 7 gives: (a) -9 (b) 5 (c) -5 (d) 9

2. 5 added to – 5 gives: (a) 10 (b) -10 (c) 0 (d) -25

3. The number 3 less than -2 is: (a) -1 (b) 1 (c) 5 (d) -5

4. Which of the following numbers is to the right of -3 on number line? (a) -4 (b) -2 (c) -12 (d) -13

5. The number of integers between -2 and 2 is: (a) 5 (b) 4 (c) 3 (d) 2

6. The opposite of -7 is: (a) -6 (b) 6 (c) 5 (d) 7

7. In addition and subtraction of the integers the sign of answer depends upon: (a) smaller Number (b) their Difference (c) their Sum (d) greater numerical value

• CBSE Worksheets for Class 6 Maths Integers Assignment 1
• CBSE Worksheets for Class 6 Maths Integers Assignment 2
• CBSE Worksheets for Class 6 Maths Integers Assignment 3
• CBSE Worksheets for Class 6 Maths Integers Assignment 4
• CBSE Worksheets for Class 6 Maths Integers Assignment 5
• CBSE Worksheets for Class 6 Maths Integers Assignment 6
• CBSE Worksheets for Class 6 Maths Integers Assignment 7
• CBSE Worksheets for Class 6 Maths Integers Assignment 8
• CBSE Worksheets for Class 6 Maths Integers Assignment 9
• CBSE Worksheets for Class 6 Maths Integers Assignment 10
• CBSE Worksheets for Class 6 Maths Integers Assignment 11

8. Which of the following number is greater than -1? (a) -2 (b) -10 (c) 0 (d) -3

9. 7 steps to the left of 4 on number line gives: (a) 3 (b) 11 (c) -11 (d) -3

10. What will be the opposite of 3 km south? (a) 3 km east (b) 3 km north (c) 3 km north east (d) 3 km west

11. Which of the following set of numbers is in descending orders? (a) 2, -2, 1, -1 (b) 0, 1, 2, 3 (c) 1, 0, -1, -2 (d) -3, -2, -1, 0

12. Sum of -10, – 5 and 12 is: (a) 27 (b) -3 (c) 3 (d) -27

13. Which of the following statement is false? (a) -4 > -5 (b) -4 < 5 (c) 4 < -5 (d) 4 > -5

14. Which of the following is in increasing order? (a) 0, 1, -1 (b) -1, -2, -3 (c) -1, 0, 1 (d) -1, 1, -2

15. Which of the following number forms a pattern? (a) -6, -3, 0, 3 (b) -5, -3, -2, 0 (c) 0, 2, 3, 4 (d) 1, 2, 4, 6

16. Which of the following will give answer with negative sign? (a) -48 + 79 (b) -40 + 40 (c) -18 + 30 (d) 48 + (-39)

17. What will be the additive inverse of -1? (a) -2 (b) -1 (c) 0 (d) 1

18. Sum of a negative and a positive integer is: (a) always negative (b) either positive or negative (c) always positive (d) zero

19. The pair of integers whose sum is -5: (a) 1, -4 (b) -1, 6 (c) -3, -2 (d) 5, 0

20. 39 – 50 is: (a) Not possible (b) -89 (c) -11 (d) 10

Class 6 Maths Integers True (T) or False (F)

1. (-8) + ……………. = 0 2. 13 + ………………. = 0 3. 12 +(-12) = …………… 4. (-4) + …………….. = -12 5. …………… -15 = -10

Class 6 Maths Integers Write the following numbers with appropriate signs:

1. 100 m below sea level 2. 25°c above 0°c temperature 3. 15°c below 0°c temperature 4. any five numbers less than 0

Class 6 Maths Integers Very Short Answer Type Questions

1. Represent +5 and -3 on the number line. 2. Write five negative integers greater than -10. 3. How many integers lie between -5 and 4? 4. Write the following integers in ascending order: -5, -7, -2, 3, 0, 7 5. Find the sum (-7) + (-9) + 4 – 16. 6. Find : 50 – (-40) + (-20).

Class 6 Maths Integers Short Answer Type Questions

1. Write opposite of the following: (a) Increase in height (b) Loss of ₹ 500 (c) 10 Km. South (d) 50 m below sea level 2. A man is standing at -5 on the number line. In which direction and how many steps should he move to reach at -11? 3. In the following pairs, which number is to the right of the other on the number line? (a) 0 and -3 (b) -7 and 7 (c) -1000 and 4 4. Solve without using the number line. (a) (-7)-8-(-23) (b) 4 – (-8) + (-7) – (-8)

Class 6 Maths Integers Long Answer Type Questions

1. (a) Subtract-31 from 50. (b) Subtract 50 from -31. 2. Subtract the sum of -16 and -26 from the sum of 25 and -40. 3. Simplify : 1 + (-3) + 5 + (-7) + 9 + (-11) + 13 + (-15)

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Revision Notes on Integers

Introduction to integers.

There are so many situations where we have to use negative numbers. Negative Numbers are the numbers with the negative sign. These numbers are less than zero.

We use negative numbers to represent temperature.

Where +10 shows 10° hotter than 0 and -10 shows 10° colder than 0.

Successor and Predecessor

If we move 1 to the right then it gives the successor of that number and if we move 1 to the left then it gives the predecessor of that number.

Tag me with a sign

In the case of accounting we use negative sign to represent the loss and positive to represent the profit.

In the case of sea level, we use a negative sign to represent the height of the place below the sea level and positive sign to represent the place above the sea level.

The collection of whole numbers and negative numbers together is called the Integers .

All the positive numbers are positive integers and all the negative numbers are negative integers. Zero is neither a positive nor a negative integer.

Representation of Integers on Number Line

To represent the integers on a number line, first, we have to draw a line and mark a point zero on it.

Then mark all the positive integers on the right side with the same distance as 1, 2, 3… and the entire negative numbers on the left side as -1,-2,-3…

To mark (-7) we have to move 7 points to the left of zero.

Ordering of Integers

From the above number line, we can see that as we go to the right side the numbers are getting larger and as we move to the left the numbers are getting smaller.

Hence, any number on the right side on the number line is greater than the number on its left.

5 is to the right of 2 so 5>2.

4 is to the right of -2, so 4>-2.

-4 is to the left of -1, so -4 < -1.

Some facts about Integers

Any positive integer is always greater than any negative integer.

Zero is less than every positive integer.

Zero is greater than every negative integer.

Zero doesn’t come in any of the negative and positive integers.

Addition of Integers

1. Addition of Two Positive Integers

If you have to add two positive integers then simply add them as natural numbers.

(+6) + (+7) = 6 + 7 = 13

2. Addition of Two Negative Integers

If we have to add two negative integers then simply add them as natural numbers and then put a negative sign on the answer.

(-6) + (-7) = - (6+7) = -13

3. Addition of One Negative and One Positive Integer

If we have to add one negative and one positive integer then simply subtract the numbers and put the sign of the bigger integer. We will decide the bigger integer ignoring the sign of the integers.

(-6) + (7) = 1 (bigger integer 7 is positive integer)

(6) + (-7) = -1(bigger integer 7 is negative integer)

Addition of Integers on a Number Line

Add 3 and 4 on the number line.

To add 3 and 4, first, we move 3 steps to the right of zero then again move 4 steps to the right from point 3.

As we reached to the point 7, hence (+3) + (+4) = +7

This shows that the sum of two positive integers is always positive .

2.  Addition of Two Negative Integers

Add (-2) and (-5) using a number line.

To add (-2) and (-5), first we move 2 steps to the left of zero then again move 5 steps to the left of (-2).

As we reached to the point (-7), hence (-2) + (-5) = -7.

This shows that the sum of two negative integers is always negative .

a. If a positive integer is greater than the negative integer

To add (+6) and (-2), first we have to move 6 steps to the right from zero then move 2 steps to the left of point 6.

As we reached to the point 4, hence (+6) + (-2) = +4

b. If a negative integer is greater than the positive integer

To add (-5) and (+4), first we have to move 5 steps to the left of zero then move 4 steps to the right from point (-5).

As we reached to the point -1, hence (-5) + (+4) = (-1)

4. Additive Inverse

If we add numbers like (-7) and 7 then we get the result as zero. So these are called the Additive inverse of each other.

If we add (-2) + (2), then first we move 2 steps to the left of zero then we move two steps to the right of (-2).so finally we reached to zero.

Hence, if we add the positive and negative of the same number then we get the zero.

What is the additive inverse of 4 and (-8)?

The additive inverse of 4 is (-4).

The additive inverse of (-8) is 8.

Subtraction of Integers on Number Line

If we subtract an integer from another integer then we simply add the additive inverse of that integer.

(-3) – (-2) = (-3) + 2 = -1

(-3) – (+2) = (-3) + (-2) = -5

1. Subtraction of Two Positive Integers

Subtract 2 from 5.

To subtract 2 from 5, first, we move 5 steps to the right from zero then move 2 steps back to the left.

As we reached to 3 hence, 5 – (+2) = 5 – 2 = 3

2. Subtraction of Two Negative Integers

Subtract (-12) from (-8).

To subtract (-12) from (-8), first, we have to move 8 steps to the left of zero then move 12 steps to the right of (-8).

As we reached to 4, hence (-8) – (-12) = (-8) + (12) = 4

3. Subtraction of One Negative and One Positive Integer

a. To subtract a positive integer from any other integer .

Subtract 3 from (-4)

To subtract (-4) from (3), first, we have to move 4 steps to the left of zero then move 3 steps more to the left.

As we reached to (-7), hence (-4) – (+3) = (-4) + (-3) = -7.

b. To subtract a negative integer from any other integer

Subtract (-3) from (4)

To subtract (-3) from (4), first, we have to move 4 steps to the right of zero then move 3 steps more to the right.

As we reached to (7), hence (4) – (-3) = (4) + (+3) = +7

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Integers Questions

Integer questions for practice with solutions are provided here for students to help them in their examinations. All questions are important from the exam point of view, these questions are in accordance with the latest CBSE/ICSE syllabus for class 6 and 7 maths. It is recommended for all students to attempt these questions for a final touch-up for their preparations for examination.

For more resources: Integers Worksheets for Classes 6 and 7

Integers are a set of positive and negative whole numbers along with zero. The set of integers is denoted by Z .

Learn more about Integers .

Integers Questions with Solutions

Practice these questions on integers to improve your understanding, skill and speed of solving questions.

Question 1: Evaluate the following:

(i) 22 – ( –87)

(ii) 198 + ( –12)

(iii) –16.87 – 30

(iv) – 19 + 34 – 34

(i) 22 – ( –87) = 22 + 87 = 109

(ii) 198 + ( –12) = 198 – 12 = 186

(iii) –16.87 – 30 = – (16.87 + 30) = – 46.87

(iv) – 19 + 34 – 34 = –19 + 0 = –19

Question 2: Find the additive inverse of the following:

Additive inverse of 23 is –23 such that;

23 + (–23) = 0 = (–23) + 23

Additive inverse of 108 is –108 such that;

108 + (–108) = 0 = (–108) + 108

Additive inverse of 476 is –476 such that;

476 + (–476) = 0 = (–476) + 476

Additive inverse of –39 is –(–39) = 39 such that;

–39 + 39 = 0 = 39 + (–39)

Question 3: Verify a + (b + c) = (a + b) + c for the following:

(i) a = 2, b = 0, c = –9

(ii) a = 34, b = 90, c = –1

L.H.S = a + (b + c) = 2 + (0 + 9)

= 2 + 9 = 11

R.H.S = (a + b) + c = (2 + 0) + 9

∴ L.H.S = R.H.S

L.H.S = a + (b + c) = 34 + {90 + (–1)}

34 + {90 – 1}

= 34 + 89 = 123

R.H.S = (a + b) + c = (34 + 90) + (–1)

= 124 + (–1)

= 124 – 1 = 123

• Number System
• Ratio and Proportion
• Real Numbers

Question 4: Evaluate using properties:

(i) 89 – 58 + 28 – (–32)

(ii) 193 + 208 – {29 – (367)}

(iii) 56 – 34 + 235 – (123)

(iv) (84 – 34) × (84 + 45)

= 89 – 58 + 28 + 32

= 89 – 58 + (28 + 32) {associativity}

= 89 – 58 + 60

= (89 + 60) – 58 {commutativity and associativity}

= 149 – 58 = 91

= 193 + 208 – {29 – 367}

= 193 + 208 – (–338)

= 193 + 208 + 338

= (193 + 208) + 338 {associativity}

= 401 + 338 = 739.

= 56 – 34 + 235 – 123

= (56 + 235) – (34 + 123) {commutativity and associativity}

= 291 – 157

= {84 + (–34)} × (84 + 45)

= 84 × (–34 + 45) {distributivity of multiplication over addition}

Question 5: Write ‘true’ or ‘false’ for the following:

(i) Zero is the smallest integer.

(ii) –10 is smaller than –7.

(iii) 1 is the smallest positive integer.

(iv) –1 is the smallest negative integer.

(v) Sum of two negative integers is a positive integer.

(i) Zero is the smallest integer. (False)

(ii) –10 is smaller than –7. (True)

(iii) 1 is the smallest positive integer. (True)

(iv) –1 is the smallest negative integer. (False)

(v) Sum of two negative integers is a positive integer. (False)

Question 6: Evaluate:

(i) (–4) × (–15) × (–33)

(ii) (–1) × (–1) × (–1) × … 100 times

(iii) (–7) × (–4) × 5

= – (4 × 15 × 33)

= (– 1) 100

= 1 {∵ 100 is an even number}

= (7 × 4) × 5

Question 7: In a class test containing 20 questions, 5 marks are awarded for each correct answer and 2 marks is deducted for each wrong answer. If Riya get 15 correct answers out of all the questions attempted. What is her total score?

Number of questions = 20

Marks awarded for corrected answer = 5

Marks awarded for wrong answer = –2

Number questions attempted correctly = 15

Number questions not attempted correctly = 5

Her total score = (15 × 5) + (–2 × 5) = 75 – 10 = 65

Question 8: An elevator descends at the rate of 4 m/min. If the elevator start descending 25 m above the ground level, how long will it take to cover –450 m? ‘

Given, the elevator is at 25 m above the ground level and have to reach 450 m below the ground level.

Distance have to be covered = 25 – (–450) = 475 m

Speed of the elevator = 4 m/min

Time taken = 475/4 = 118.75 min.

Question 9: What number should be added to the sum of 345 and 67 to make it equal to the smallest 3-digit number?

Smallest 3-digit number = 100

Now, 345 + 67 = 412

412 – 100 = 312

Thus, 412 + (–312) = 100

Question 10: During summer, the temperature within a room is 37 o C. If an air conditioner cools the room by 5 o C/min. What will be the temperature of the room after 5 minutes of switching on the air conditioner?

Temperature of the room before switching on the air conditioner = 37 o C

Rate of cooling = –5 o c/min

Temperature of the room after switching on the air conditioner for 5 min = 37 – (5 × 5)

= 37 – 25 = 12 o C.

Video Lesson on Number Sytem

Related Articles

• Linear Equations Questions
• Real Numbers Questions
• Compound Interest Questions
• Polynomials Questions

Practice Questions on Integers

1. Evaluate the following:

(i) 34 – 56 + (–18)

(ii) [32 – 17] × [32 + 90]

(iii) 12 – 25 + (–35) + 2.9

(iv) 34 – 56 + 13 – ( –37)

2. A dishonest shopekeeper uses a weighing machine which 900 g as 1kg. If cost of per kg sugar is ₹ 40. How more money did the shopekeeper earned by selling 3 kg sugar to the customer.

3. An air conditioner cools a room by 4 o C/min. If the temperature of the room is 45 o C before switching on the air conditioner. Find temperature of the room after switching on the air contioner for 6 min.

4. Write true or fallse for the following statements:

(i) Zero is a positive integer.

(ii) –1 is greatest negative integer.

(iii) Sum of a positive integer and a negative integer is always a positive integer.

(iv) Division of integers is always an integer.

(v) Multiplication of a positive integer and a negative integer is always a negative integer.

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Unit 2: Integers

Classification of numbers.

• Intro to whole numbers (Opens a modal)
• Intro to negative numbers (Opens a modal)

Integers on the number line

• Intro to the number line (Opens a modal)
• Successor and predecessor on the number line Get 3 of 4 questions to level up!
• Negative numbers on the number line Get 5 of 7 questions to level up!

Adding and integers

• Adding & subtracting negative numbers (Opens a modal)
• Adding numbers with different signs (Opens a modal)
• Adding negative numbers Get 5 of 7 questions to level up!
• Adding negative numbers on the number line Get 5 of 7 questions to level up!

Comparing integers

• Number opposites (Opens a modal)
• Negative symbol as opposite (Opens a modal)
• Ordering negative numbers (Opens a modal)
• Number opposites Get 5 of 7 questions to level up!
• Negative symbol as opposite Get 3 of 4 questions to level up!
• Ordering small negative numbers Get 5 of 7 questions to level up!
• Ordering rational numbers Get 3 of 4 questions to level up!

Subtracting integers

• Subtracting a negative = adding a positive (Opens a modal)
• Subtracting negative numbers Get 5 of 7 questions to level up!
• Adding & subtracting negative numbers Get 5 of 7 questions to level up!

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Subtraction of integers

Math worksheets: subtraction of integers (-30 to 30).

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Important Questions for CBSE Class 6 Maths Chapter 6 - Integers

• Class 6 Important Question
• Chapter 6: Integers

CBSE Class 6 Maths Important Questions Chapter 6 - Integers - Free PDF Download

Important Questions for Class 6 Chapter 6 - Integers deals with the basic concepts of Integers and the questions given in the segment created by Vedantu will help students prepare for final exams. Students can practice these questions to score good marks. Chapter 6 of Class 6 Maths deals with the number system. Children will also learn addition, subtraction, multiplication and division of positive and negative integers. Students can refer to CBSE Solutions Important Questions for Class 6 Maths to get a hold of important questions that they can expect in exams. You can download the PDF version of important questions for Class 6 Maths Chapter 6 from Vedantu’s website anytime on any device and refer to them at your pace. You can also reach out to the teachers on the panel by enrolling with us.  You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination .  

Download CBSE Class 6 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 6 Maths Important Questions for other chapters:

Study Important Questions for Class 6 Maths Chapter 6 Integers

1 Mark Questions

1. Integers are denoted using the alphabet ___?

Ans: Integers are denoted using the alphabet Z.

2. $-9$__$5$. Fill in the blanks.

Ans: $-9<5$ 

3. Compare \[-\mathbf{815}\] and \[-\mathbf{814}\].

Ans: $-815<-814$

4. Say true or false. The absolute value of an integer is always greater than the integer.

Ans: True 

5. The predecessor of\[~\mathbf{219}\] is \[\mathbf{218}\]. Say true or false.

Ans: Predecessor of a number is the one that comes before the number.

\[\begin{align} & \text{Predecessor of a number} \\  & =\text{Number}1 \\  & =\left( -219 \right)1 \\  & =220. \\  \end{align}\]

Hence the statement is false.

6. ___ is called the Additive identity.

Ans: 0 is called the additive identity. This is because addition of zero to any number bears the same number.

7. \[-\mathbf{3}\] is the ___ of \[\mathbf{3}\].

Ans: $-3$ is the additive inverse of $3$. This is because on adding the numbers, we get zero, i.e., $\left( -3 \right)+3=0$.

8. \[\_\_\_\div \mathbf{483}=\mathbf{0}\]

9. \[-\mathbf{843}\div \_\_\_=\mathbf{1}\]

2 Marks Questions

1. Write opposite of each of the following:

(a) A decrease of 9

(b) Spending Rs.500

Ans: (a) An increase of $9$.

(b) Saving Rs.$500$.

2. Indicate using ‘$+$‘ or ‘$-$‘ sign

(a) 10km before sea level

(b) loss of Rs.900

Ans: (a) $-10$km

(b)$-$Rs.$900$

3. Write in ascending order: \[\mathbf{365}\], \[\mathbf{515}\], \[\mathbf{102}\], \[\mathbf{413}\], \[\mathbf{7}\].

Ans: $-515$, $-365$, $7$, $102$, $413$.

4. Write in descending order: \[\mathbf{21}\], \[\mathbf{501}\], \[\mathbf{2}\], \[\mathbf{16}\], \[\mathbf{81}\], \[\mathbf{363}\].

Ans: $21$, $-2$, $-16$, $-81$, $-363$, $-501$.

5. Find the value of the following:

(a)$-\left| -4 \right|$

(b)$\left| 7-4 \right|$

(c)$8-\left| 7 \right|$

Ans: (a)$-\left| -4 \right|=-4$

(b)$\left| 7-4 \right|=\left| 3 \right|=3$

(c)$8-\left| 7 \right|=8-7=1$

6. Add \[-\mathbf{82}\] and \[+\mathbf{45}\].

Ans: Adding $-82$ and $45$,

$\begin{align} & -82 \\  & +\underline{45} \\  & -37 \\  \end{align}$

Hence, the answer is $-37$.

7. Add \[-\mathbf{9568}\] and \[-\mathbf{695}\].

Ans: Adding $-9568$ and $-695$,

\[\begin{align} & -\text{ }9568 \\  & -\underline{\text{   }695} \\  & -10263 \\ \end{align}\]

Hence, the answer is $-10,263$.

8. Add 

(a) \[-\mathbf{19}+\mathbf{36}\]

(b) \[-\mathbf{49}+\mathbf{27}\]

Ans: (a) Adding $-19$ and $36$,

$\begin{align} & -19 \\  & +\underline{36} \\  & \text{  17} \\  \end{align}$

Hence, the answer is $17$.

(b) Adding $-49$ and $27$,

$\begin{align} & -49 \\ & +\underline{27} \\  & -22 \\  \end{align}$

Hence, the answer is $-22$.

9. \[\left( -14+6 \right)\] ___$\left( -38-\left( -9 \right) \right)$ . Use >, <, =

Ans: Solving both sides, we get

$\left( -14+6 \right)$__$\left( -38-\left( -9 \right) \right)$

$-8>-29$ 

3 Marks Questions

1. Mark the following on the number line:

(a) \[\mathbf{4}\]

(b) \[\mathbf{0}\]

(c) \[\mathbf{10}\] 

(d) \[\mathbf{6}\]

2. Write all integers between

(a) \[\mathbf{4}\] and \[\mathbf{4}\]

(b) \[\mathbf{8}\] and \[\mathbf{3}\]

Ans: (a) $-3$,$-2$, $-1$, $0$, $1$, $2$. $3$

(b) $-7$, $-6$, $-5$, $-4$

3. Subtract the following:

(a) \[-\mathbf{842}\] from \[\mathbf{0}\]

(b) \[-\mathbf{2959}\] from \[\mathbf{8158}\]

Ans: (a) Subtracting $-842$ from $0$,

$\begin{align} & 0-\left( -842 \right) \\  & =0+842 \\  & =842 \\  \end{align}$

Hence, the answer is $842$.

(b) Subtracting $-2959$ from $8158$,

$\begin{align} & 8158-\left( -2959 \right) \\  & =8158+2959 \\  & =11117 \\ \end{align}$

Hence, the answer is $11,117$.

4. The sum of two integers is – 38. If one of them is 240. Find the other.

Ans: We know that, $\text{addend+addend=sum}$

From given,

$\begin{align} & 240+X=-38 \\  & X=-38-240 \\  & X=-278 \\  \end{align}$

Hence, the other number is $-278$.

5. Find the product of \[\left( -27 \right)\times 18\times 30\].

Ans: The product of \[\left( -27 \right)\times 18\times 30\] is

\[\begin{align} & \left( -27 \right)\times 30\times 18 \\  & =-810\times 18 \\  & =-14580 \\  \end{align}\]

Hence, the answer is \[-14,580\].

6. Simplify: $\left( -37 \right)\times \left( -16 \right)+\left( -37 \right)\times \left( -14 \right)$.

Ans: $\left( -37 \right)\times \left( -16 \right)+\left( -37 \right)\times \left( -14 \right)$…(1)

We know that by distributive property,

$a\times b+a\times c=a\times \left( b+c \right)$

Hence, by (1),

$a=-37$, $b=-16$, $c=-14$

$\begin{align} & \left( -37 \right)\left[ \left( -16 \right)+\left( -14 \right) \right] \\  & =\left( -37 \right)\left[ -30 \right] \\  & =-1110 \\ \end{align}$

The answer after simplification is $-1110$.

7. Divide \[\left( +\mathbf{3251} \right)\] by \[\left( -\mathbf{27} \right)\].

Ans: We know that, 

$\frac{\left( +3251 \right)}{\left( -27 \right)}=-\left( \frac{3251}{27} \right)$

By long division, we get,

Hence, we get,

$\begin{align} & \text{Quotient=-120} \\  & \text{Remainder=11} \\  \end{align}$

4 Marks Questions

1. Using number line, write the following

(a) \[\mathbf{4}\] more than \[\mathbf{6}\]

(b) \[\mathbf{5}\] more than \[\mathbf{2}\]

(c) \[\mathbf{6}\] less than \[\mathbf{4}\]

(d) \[\mathbf{3}\] less than \[\mathbf{2}\]

Ans: (a) $4\text{ more than 6}=6+4=10$

(b) \[\text{5 more than -2}=5+\left( -2 \right)=5-2=3\]

(c) $6\text{ less than 4=4-6=-2}$

(d)$3\text{ less than }-2=\left( -2 \right)-3=-2-3=-5$

2. A bus travelled 30km to south, then 40km to north and from 30km to west. How for did the bus travel?

Distance travelled south = \[-30\]km

Distance travelled North = \[40\]km

Distance travelled West = $-30$km

Hence, Total distance travelled 

\[\begin{array}{*{35}{l}} =\left( -30 \right)+40+\left( 30 \right)  \\ \begin{align} & =60+40 \\  & =-20 \\  \end{align}  \\ \end{array}\]

Thus, the total distance travelled is $20$km towards the south.

5 Marks Questions

1. In a class test containing \[\mathbf{25}\] questions, \[\mathbf{4}\] marks are given for every correct answer and \[\left( \mathbf{2} \right)\] marks are given for every wrong answer. A student attempts all questions and \[\mathbf{20}\] of his answers are correct. What is the total score of a student?

Ans: Total questions in test \[=25\]

Marks are given for 1 correct answer \[=4\]

Marks are given for 1 incorrect answer \[=2\]

Marks given for 20 correct answers \[=20\times 4=80\]

Total incorrect answers \[=\left( 2520 \right)=5\]

Marks given for incorrect answers \[=5\times \left( 2 \right)=10\]

Total score in test 

\[\begin{align} & =80+\left( 10 \right) \\  & =70 \\  \end{align}\]

Hence, the total score in the test is $70$ marks.

CBSE Class 6 Maths Important Questions Chapter 6 - Free PDF Download

Let’s Revise

Integers is a set of all natural numbers, 0 and negatives of natural numbers are called integers, i.e., we can represent the integers on the number line. 

Integers range from { ………, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …….. }

The absolute value of an integer is the numerical value of the integer in any case regardless of its sign.

Successors and predecessor of an integer: Let abe an integer, then: 

(a + 1) is called the successor of a.

(a - 1) is called the predecessor of a.

Properties of addition of integers:

(i) Closure property of addition: The total of two integers is always an integer.

(ii) Commutative law of addition: a + b = b + a

(iii) Associative law of addition: the sum remains the same even if the grouping of addends change.

Properties of subtraction of integers: 

(i) If two integers a and b are given then (a - b) is also an integer.

(ii) If a is considered an integer, then a - 0 = a.

(iii) if a, b, c are integers and a＞b, then (a - c)＞(b - c)

Properties of multiplication of integers:

(i) Closure property: The result of two integers is always an integer after multiplication.

(ii) Commutative law: a x b = b x a.

(iii) Associative law: a x (b x c) = (a x b) x c.

(iv) Distributive law: a x (b + c) = a x b + a x c.

Properties of division of integers:

(i) If two integers are a and b, then a ÷ b is not necessarily an integer.

(ii) If a ≠ 0, then a ÷ a = 1 

(iii) a ÷ 1 = a.

(iv) If a is a non-zero integer, then 0 ÷ a = 0, but  a ÷ 0 is not meaningful.

(v) (a ÷ b) ÷ c ≠ a ÷ (b ÷ c) unless c = 1.

Representation of Integers on Number line: To represent integers on a number line, draw a line and mark some points at equal distances on it. Mark a point as 0 on it. Points to the right of 0 are positive integers and are marked as +1, +2, +3, etc. or simply 1, 2, 3, etc. Points to the left of are negative integers and are marked as -1, -2, -3, etc. 

Ordering of Integers: On the number line, integers are grouped in such a way that when we move to the right the numbers increase and when we move to the left, the numbers decrease.

We add the corresponding positive integers and retain the negative sign with the sum when adding two negative integers, Ex: Find the sum of -3 and -3. 

-3 + (-3) = - (3+ 3) = -6.

To add a positive integer and a negative integer, we ignore the signs and subtract integers with smaller numerical value from the integer with a larger numerical value and take the sign of the larger one. 

Ex: (a) Consider -6 and + 4

As 6 -4 = 2, therefore -6 + (+4) = -2

(b) Consider + 5 and -2

5 + (-2) = 5 - 2 = 3

Two integers whose sum is 0 are called additive inverse of each other. 

In order to subtract an integer from a given integer, we add an additive opposite of the integer to the given integer.

Ex: (a) Subtract 3 from -4

The additive inverse of 3 is -3

So, -4, -3 = -4 + (-3) = (4 + 3) = -7

(b) -2 from -4

The additive inverse of -3 is 3

So, -4 - (-2) = -4 + 2 = -2

Addition/ Subtraction of Integers on Number line: Firstly draw the number line and represent the first number on it. Then to add/ subtract the second number in first, we move left/ right to the first number according to the second integer (either -ve or +ve)

Chapter 6 Integers for Class 6 teaches the concepts of Integers that you have learnt the basics of in your previous grade. The chapter Integers is the foundation of mathematics. Revising the chapter of Integers along with important questions will help you with other topics in mathematics. The important questions are prepared based on the topics that are discussed in this chapter. The reference notes for the chapter given above will benefit you in solving the Important Questions Of Chapter 6 of Maths for Class 6 Integers . The important questions of the chapter and the reference notes related to the chapter provided by Vedantu will not only help you to understand the concept better but also solve the questions successfully. If you still have any doubts then you can get answers to all your queries by reaching out to our experienced teachers. You can register on www.vedantu.com and master the topic. 

Why Should You Opt for Vedantu?

Vedantu is one of the foremost eLearning education forums of the country, where our team has worked very hard to create an awesome technology platform that enables learning in a very interactive and engaging manner. It is an online tutoring platform that connects teachers and students. Vedantu focuses on the quality of teachers because we believe a teacher can shape up the overall personality of a child. So our main priority is having good, qualified and experienced teachers on board. With the help of new technology, Vedantu has brought a revolution in all the traditional methods of teachings. Our experienced teachers have designed the courses with the latest technology called WAVE in which the teachers can teach while writing on the whiteboard. This will give a feeling of offline classes to the students. 

Students can avail abundant solutions and study materials affiliated to all the Boards of the country. These solutions for each subject, notes and study materials not only give you enough practice for the exams but also magnify your confidence and strengthen your conceptual understanding of the subject. You can also learn the shortcuts and tricks to solve the difficult questions from our master teachers. Our subject matter experts have done extensive research and have developed the NCERT Solution for all subjects. 

The solutions to the exercises in the course books are 100% verified and developed as per the latest edition CBSE textbooks. The online sessions are designed with in-class quizzes which enables master teachers to get real-time feedback on students' understanding. To prepare for advanced exams like IIT-JEE , KVPY and NEET examinations , you can count on Vedantu’s experienced teachers who are from some reputed institutions of the country. The USP of Vedantu is the live interactive sessions and innumerable students have been benefited from the courses that Vedantu provides. Take the right decision today to register with Vedantu and shape your career through us. 

Important Related Links for CBSE Class 6 Maths 

Vedantu's provision of important questions for CBSE Class 6 Maths Chapter 6 - "Integers" is a crucial aid for young learners. These questions are thoughtfully designed to help students navigate the world of integers with ease. They encourage critical thinking, problem-solving skills, and a deeper understanding of numerical concepts. Vedantu's commitment to quality education is evident, as these important questions empower students to excel in their mathematics studies. By practising these questions, students can build a robust foundation in integer mathematics, fostering confidence and competence in mathematical reasoning. These questions are a valuable resource for both exam preparation and lifelong mathematical learning.

FAQs on Important Questions for CBSE Class 6 Maths Chapter 6 - Integers

1. What is integer in maths for class 6?

Integers, which do not include decimal or fractional numbers, are a collection of whole numbers and their negatives. Positive and negative integers are the two different sorts of integers. Positive integers are all positive values, whereas negative integers are all negative numbers. In short, any number—aside from decimal or fractional numbers—can be referred to as an integer.

2. How can I prepare Chapter 6 integers for my exam?

You should practice as many questions as possible. You can seek help in your doubts online from Vedantu.com . You should solve as many questions as you can. Moreover, you can find many questions for practice on Vedantu. Vedantu provides you many Important questions for CBSE to boost your exam preparations as well.

3. Can I download important questions for CBSE board of Chapter 6 Integers for class 6?

Yes, definitely you can download the important questions for CBSE class 6 and not only questions but all the necessary notes and study material needed for the preparation of your chapter from Vedantu.com which is one of the finest and student friendly

4. What is the role of zero?

In mathematics, zero serves two very different purposes. It extends the theory of numbers from the natural numbers to integers and acts as a placeholder for writing numbers. It has a "1," the first counting symbol, as well as a "0," thus indicating that the number is ten times larger than a plain "1."

5. Which is the best platform to study the Integers chapter for class 6 for CBSE board?

The best platform to study about Integers would be Vedantu where you can have access across the best lectures on whatever topic you need to study. You will be provided with worksheets, notes, Important questions that are going to help you strengthen your concepts and will make you secure good marks. 

6. Do these questions come with answers and explanations?

Depending on the source, these questions may or may not come with answers and explanations. It's essential to attempt the questions first and then refer to your textbook or teacher for explanations if needed.

7. Can I find these questions in a downloadable format?

Yes, many educational websites offer downloadable PDFs of important questions for various subjects and chapters. You may check Vedantu or other educational platforms for downloadable versions.

8. How can I best utilise these important questions for exam preparation?

Use these questions as part of your study plan. Attempt them regularly, time yourself, and simulate exam conditions to build confidence and improve your performance in the actual exams.

Chapter wise Important Questions for CBSE Class 6 Maths

Cbse study materials.

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Vulnerability Summary for the Week of May 20, 2024

The CISA Vulnerability Bulletin provides a summary of new vulnerabilities that have been recorded by the  National Institute of Standards and Technology  (NIST)  National Vulnerability Database  (NVD) in the past week. NVD is sponsored by CISA. In some cases, the vulnerabilities in the bulletin may not yet have assigned CVSS scores. Please visit NVD for updated vulnerability entries, which include CVSS scores once they are available.

Vulnerabilities are based on the  Common Vulnerabilities and Exposures  (CVE) vulnerability naming standard and are organized according to severity, determined by the  Common Vulnerability Scoring System  (CVSS) standard. The division of high, medium, and low severities correspond to the following scores:

• High : vulnerabilities with a CVSS base score of 7.0–10.0
• Medium : vulnerabilities with a CVSS base score of 4.0–6.9
• Low : vulnerabilities with a CVSS base score of 0.0–3.9

Entries may include additional information provided by organizations and efforts sponsored by CISA. This information may include identifying information, values, definitions, and related links. Patch information is provided when available. Please note that some of the information in the bulletin is compiled from external, open-source reports and is not a direct result of CISA analysis.  

High Vulnerabilities

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Medium Vulnerabilities

Low vulnerabilities, severity not yet assigned.