my homework lesson 1 place value grade 4

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My Math 4 Volume 1 Common Core, Grade: 4 Publisher: McGraw-Hill

My math 4 volume 1 common core, title : my math 4 volume 1 common core, publisher : mcgraw-hill, isbn : 21150230, isbn-13 : 9780021150236, use the table below to find videos, mobile apps, worksheets and lessons that supplement my math 4 volume 1 common core., textbook resources.

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Place Values (Grade 4)

Suggested learning targets.

• I can explain the value of each digit as ten times the value to the right (connection to bundles of 10)
• I can apply my knowledge of place value to multiply numbers by powers of ten.
• I can apply my knowledge of place value to divide numbers by powers of ten.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

How to Teach Place Value to 4th Graders

Place value is arguably one of the most important math concepts in the curricula of elementary school. As early as grade one, children start to recognize place value in numerals beyond 20.

By grade four, students should have developed a solid understanding of place value in higher numbers, including three-digit numbers. Thus, they should be well-prepared to tackle the four-digit ones and solve complex math problems by using their place value knowledge.

But as a 4th-grade math teacher or a homeschooling parent, you’ll also need to be well-prepared to support your students to further develop their place value knowledge and reinforce previous knowledge.

Check out these simple tips on how to teach place value to 4th graders that will help your students breeze through this math concept!

What Is Place Value?

You may want to start your lesson by polishing up on previously acquired knowledge about place value. For instance, explain what place value is and add a few simple examples.

Place value is simply the value of each digit in a given number, or  the value of where a digit is in a number. 

For example, in 453, the 5 is in the ‘tens’ place,  so its place value is 10.

In 571, the 5 is in the ‘hundreds’ place,  so its place value is 100.

In 5 386, the 5 is in the ‘thousands’ place’,  so its place value is 1000.

In other words, by understanding place value, we recognize that while a number can be the same, its value will depend on the place or position where the digit is in a specific number.

Consider also using  this video  by Khan academy to provide a nice visual explanation of finding a number’s place value.

Why Is Place Value Important?

Your students might be wondering why they should be learning about place value at all. This is not infrequent among math students in any grade and should be tackled accordingly.

One way to simplify the importance of place value to young learners is to tell them that by understanding it,  they understand the difference between the $75  they received as a birthday gift from grandpa  and the $786  on the tag of that iPad they want to save up for.

You could also add that the concept of place value lays the foundation for regrouping, multiplication of multiple-digit numbers, and a plethora of other operations in the decimal system and beyond. Understanding place value is essential for later arithmetic and algebra learning.

In short,  almost all mathematical notions and a variety of practical experiences from daily life build on place value  – that’s why it’s so important to understand it.

Place Value Makes Math Easier

Point out the importance of place value by explaining to students that the place value to the left of the digit is 10 times bigger compared to the digit on the right, which also implies that the place value to the right of the digit is 10 times smaller compared to the digit to its left (ex: 100 ÷ 10 = 10).

To demonstrate to kids how this principle facilitates things for them, you can use several math problems, for instance:

20×50 = 1,000  because we know that 5×2 = 10  and then we simply add the two zeros that we were left with.

300÷50 = 60  because we know that 30÷5 = 6  and then we simply add the zero that we were left with.

Activities to Teach Place Value to 4th Graders

Now that you’ve reviewed the definition of place value and its importance, you may proceed with more practical activities and exercises that will reinforce this knowledge.

But first, you may consider starting with a warm-up activity on group counting.

Group Counting in Tens

If you notice that some of the students are still struggling with place value as a concept, you may want to train the class to do group counting.

If children are able to chunk together groups of small numbers into big numbers, you’re setting the foundation for them to break down larger numbers into place values.

So,  introduce a brief activity on group counting.  Bring some marbles (around 100) to class. Just make sure they’re more or less homogenous. Ask children to stand in a circle. Now scatter the marbles in the middle of the circle and tell children to find the easiest way to count the marbles.

Some students may come up with a solution on their own, and if they don’t, give them a hint that in modern math and in our numeration system, the number 10 is used as a base. Encourage them to count in groups of 10.

Children will be able to realize that grouping ten marbles into ten groups makes counting easier than counting marbles one by one.

Place Value Flower Puzzle

Print out the flower puzzle of this  place value assignment  (page 1) and create a fun, coloring activity in your class to practice place value! You’ll need crayons in five different colors (yellow, red, green, orange, and purple). Make sure you have enough crayons for all children.

Now distribute the worksheets and ask students to solve the math problems in the assignment and present the answers by coloring the answer in the appropriate color.

That is, if the math problem is for example 50 x 20,000, the student should first calculate the answer to this by relying on their place value knowledge. Since the answer to this math problem is 100,000, they should color one flower petal on which the number 100,000 is written.

Tens should be colored yellow, hundreds are red, thousands are green, ten thousands are orange, and hundred thousands are purple.

Once students finish the activity, ask them to present their colorful flowers and explain their reasoning process of how they solved the math problems by making references to place value.

Place Value Chart

Another activity to teach place value to 4th graders involves using a place value chart. Use a place value chart with different place values, such as this awesome house-shaped place value chart  (page 3), or you can create your own chart. Use ones, tens, hundreds, thousands, ten thousands, and hundred thousands as place value columns.

Print out a copy for each student and assign several multi-digit numbers for children to put them inside the house chart, with each digit in the appropriate place value column. You can start by giving children an example. For instance, show them how to put the number 456,783 in the chart.

Explain that the 4 should be out in the hundred thousands value, the 5 in the ten thousands value, the 6 in the thousands value, the 7 in the hundreds value, the 8 in the tens value, and the 3 in the ones value.

After giving them an example of how to complete this activity, provide different multi-digit numbers and let them practice until they get the hang of it.

Place Value Quiz

Create a small quiz game to practice place value. You can use the questions from this  place value quiz  and expand them further by adding a few more math problems, depending on how long you want the quiz to last.

Divide children into groups of 3, 4. Print out the quiz questions and distribute them to each group. If you decide to expand the math problems, feel free to can include more questions such as:

• What is the place value of the underlined digit in 876 463?
• What is the place value of the underlined digit in 9 348 210?
• Calculate the answer to 12 000 ÷ 30 by using place value

Before You Leave…

We hope you’ve enjoyed our tips on teaching math! Make sure to check out our worksheets and resources on how to teach place value to 4th graders. These are all pdf files, so you’ll be able to print them out easily:

• 1-1 Assignment SE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Assignment TE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Bell Work SE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Bell Work TE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Exit Quiz SE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Exit Quiz TE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Guided Notes SE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Guided Notes TE – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Interactive Notebook – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Lesson Plan – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Online Activities – Place Value of Whole Numbers  (FREE PDF)
• 1-1 Slide Show – Place Value of Whole Numbers  (FREE PDF)

To get the  Editable versions  of these files, join us inside the Math Teacher Coach Community:

• 1-1 Assignment SE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Assignment TE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Bell Work SE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Bell Work TE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Exit Quiz SE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Exit Quiz TE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Guided Notes SE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Guided Notes TE – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Interactive Notebook – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Lesson Plan – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Online Activities – Place Value of Whole Numbers ( Doc – Members Only )
• 1-1 Slide Show – Place Value of Whole Numbers ( PPT – Members Only )

These activities are from:

Unit 1 – Place Value and Rounding of Multi-Digit Whole Numbers

• 1-1 Place Value of Multi-Digit Whole Numbers
• 1-2 Naming Numbers Within One Million
• 1-3 Forms of Multi-Digit Numbers
• 1-4 Comparing Multi-Digit Whole Numbers
• 1-5 Rounding Multi-Digit Whole Numbers

Do You Need More Math Resources?

If you’re looking for more math materials for kids of all ages, sign up for a membership on  MathTeacherCoach  or head over to our  blog  – you’ll find that with the resources we offer, teaching math has never been easier!

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Unit 1: Get ready for place value

About this unit.

Let's build a solid foundation of place value so we will be ready for writing numbers in different forms in fourth grade. We will work on identifying numbers within 1,000 and regrouping those whole numbers. All of this will get us ready for comparing, regrouping, and writing even largers numbers in fourth grade!

Intro to place value

• Use place value blocks to show numbers within 1,000 (Opens a modal)
• Place value tables within 1,000 (Opens a modal)
• Place value blocks within 1,000 Get 3 of 4 questions to level up!
• Identify the value of a digit (ones, tens, hundreds) Get 3 of 4 questions to level up!

Numbers in different forms

• Number and word form of a number (Opens a modal)
• Word form and expanded form (Opens a modal)
• Write numbers in different forms Get 3 of 4 questions to level up!

Regroup whole numbers

• Regrouping whole numbers: 675 (Opens a modal)
• Regroup whole numbers Get 3 of 4 questions to level up!

Place Value Activities for 4th Grade

In need of place value activities for your fourth grade students? Sometimes when teaching, I find myself (and my students) bored of the same old activities, and I try to mix it up! I put together a list of my favorite place value activities and worksheets for fourth grade that will help you change up your routine.

Guided Math 

Guided math is my favorite way to introduce any math concept because it allows for scaffolding and differentiation. In guided math, you go from guiding students in a whole group during the mini-lessons to centers and a teacher station, and ending with independent work. Guided math allows me to clearly see where my students are at with the concept.

I’ll be honest though, putting together a guided math unit can feel overwhelming. We often don’t have enough time in our day to plan it all. You know your students are on different levels with place value knowledge, but you may not have the time to gather the materials needed. Not to mention planning your place value mini-lesson, centers, and creating homework. 

That’s why I started creating these guided math centers for teachers, so you can focus on getting your students place value skills to mastery – instead of compiling materials.

Choice Boards

Choice boards are a simple and easy alternative to place value worksheets in 4th grade. Choice boards add some engagement as well because students get to pick the activities that sound most interesting to them!

Personally, I like to use choice boards for centers or as independent practice (in the classroom or at home). In my place value choice boards, I include various activities such as –

• Finding a mystery number using the place value clues
• Giving your students a place value mistake problem and having them correct it
• Creating a place value song to remember the topic

You can include as many activities as you want on your choice board. I typically go with nine. You can create your own choice board, or use the place value choice board I have that is ready-to-go (seriously, all you have to do is hit “print”!).

Ever teach an amazing lesson only to discover no one remembers a thing?! Yeah. We’ve all been there. Fill-in-the-blank notes are my go-to for math mini-lessons.

My students use their notes as a reference material throughout the year (I have them paste it in a notebook or hole-punch into a binder). It also works great for students with an IEP who need teachers notes (you can give them a pre-filled version!). 

The notes also keep me on track with my lesson – I know exactly what place value problems I will model and what key concepts I need to talk through. Check out the notes I use for my place value lessons.

Notebook Sorts

Notebook sorts are the cool version of place value worksheets. I say that because they include a hands-on component, serve as a great self-checking tool, and provide a reference material for later.

In place value sorts, I have my students match together the standard form of the number, the word form, and the expanded form. It’s quite the challenge! Because students are matching the “sorts” or pieces of paper, this provides a self-check tool because they know the answer is somewhere in the stack. You can create your own sort, or let me do the work for you. I have a pre-made place value sort that is great for centers, homework, or fast finishers .

You May Also Like…

Need some more ideas for your place value unit? Check out this blog post here !

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McGraw Hill My Math Grade 4 Chapter 1 Lesson 5 Answer Key Use Place Value to Round

All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 5 Use Place Value to Round  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 1 Lesson 5 Use Place Value to Round

Math in My World

Answer: 268,390 is closer to 270,000 than 260,000. 268,390 rounds to 270,000.

Answer: Given that, The number is 569,069 569,069 rounded to the nearest hundred thousand is 600,000 In the number 569,069 the ten thousand place is greater than the 50,000. So, replace the ten thousand, thousand, hundred, tens, ones by 0 and increase 1 in the hundred thousand place.

Check Use a number line. 569,069 is closer to ___ than 500,000.

Talk Math What is the least number that you can round to the thousands place to get 8,000? Explain. Answer: The least number that you can round to the thousands place to get the 8,000 is 8449.

Guided Practice

Round to the given place-value position.

Question 1. 2,221; thousands _____ Answer: Given that, The number is 2,221. 2,221 rounded to the nearest thousands is 2,000. In the number 2,221 the hundreds place is less than the 500. So, replace the hundreds, tens, ones place by 0.

Question 2. 78,214; ten thousands ____ Answer: Given that, The number is 78,214. 78,214 rounded to the nearest ten thousand is 80,000. In the number 78,214 the thousands place is greater than 5000. So replace the thousands, hundreds, tens, ones place by 0 and increase 1 in the ten thousands place.

Question 3. 581,203; hundred thousands ____ Answer: Given that, The number is 581,203. 581,203 rounded to the nearest hundred thousands is 600,000. In the number 581,203 the ten thousand place is greater than the 50,000. So, replace the ten thousands. thousand, hundreds, tens, ones place by 0 and increase 1 in the hundred thousands place.

Independent Practice

Question 4. 500,580; thousands Answer: Given that, The number is 500,580. 500,580 rounded to the nearest thousand is

Question 5. 290,152; hundred thousands Answer: Given that, The number is 290,152. 290,152 rounded to the nearest hundreds thousands is 300,000. In the number 290,152 the ten thousands place is greater than the 50,000. So replace the ten thousands, thousands, hundreds, tens, ones by 0 and increase 1 in the hundreds place.

Question 6. 218,457; hundred thousands Answer: Given that, The number is 218,457. The 218,457 rounded to the nearest hundred thousand is 200,000. In the number 218,457 the ten thousand place is less than the 50,000. So, replace the ten thousand, thousand, hundred, tens, ones place by 0.

Question 7. 37,890; hundreds Answer: Given that, The number is 37,890. 37,890 rounded to the nearest hundred is 37,900. In the number 37,890 the tens place is greater than the 50. So replace the tens ones place by 0 and increase 1 in the hundreds place.

Question 9. 845,636; ten thousands Answer: Given that, The number is 845,636. 845,636 rounded to the nearest ten thousand is 850,000. In the number 845,636 the thousands place is greater than the 5000, So replace the thousand, hundreds, tens, ones place by 0 and increase 1 in the ten thousands place.

Tell the place-value position to which each number was rounded.

Question 12. 456,750 → 460,000 Answer: 456,750 rounded to the nearest ten thousands is 460,000.

Question 13. 38,124 → 38,120 Answer: 38,124 rounded to the nearest ten is 38,120.

Question 14. 18,334 → 18,000 Answer: 18,334 rounded to the nearest thousand is 18,000.

Question 15. 455,670 → 455,700 Answer: 455,670 rounded to the nearest hundred is 455,700.

Question 16. 980,065 → 980,070 Answer: 980,067 rounded to the nearest ten is 980,070.

Question 17. 162,245 → 200,000 Answer: 162,245 rounded to the nearest hundred thousand is 200,000.

Problem Solving

A natural gas and fuel-friendly car was used to set a world record.

Question 18. What is the distance in miles traveled to the nearest ten thousand? Answer: Given that, The distance in miles is 23,697. 23,697 rounded to the ten thousand is 20,000. In the number 23,697 the thousands place is less than the 5000. So, replace the thousands, hundreds, tens, ones place by 0.

Question 19. Round the distance traveled in kilometers to the nearest thousand. Answer: Given that, The distance traveled in kilometers is 38,137. 38,137 rounded to the nearest thousand is 39,000. In the number 38,137 the hundreds place is less than 500. So, replace the hundred, tens, ones place by 0 and thousands place is increase by 1.

Question 20. The largest house made out of playing cards used 91,800 cards. To the nearest thousand, how many cards were used? Answer: Given that, The total numb er of cards used is 91,800. 91,800 rounded to the thousand is 92,000. In the number 91,800 the hundreds place is greater than the 500. So replace the hundred, tens, ones, place by 0 and increase 1 in the thousands place.

Question 21. Mathematical PRACTICE 6 Explain to a Friend Earth’s deepest point is the Mariana Trench in the Pacific Ocean. It is 35,840 feet below sea level. Is this about 36,000 feet below sea level? Explain. Answer: Given that, The Earth’s deepest point is the Mariana Trench it is in the Pacific Ocean. Its level is 35,840. 35,840 rounded to the nearest thousand is 36,000.

HOT Problems

Question 22. Mathematical PRACTICE 3 Find the Error Andrew rounded the number 672,726 to the nearest hundred thousand. He wrote 672,000. Find and correct his mistake. Answer: 672,000 is the wrong answer. 672,726 rounded to the nearest hundred thousand is 700,000 In the number 672,726 the ten thousands place is greater than the 50,000. So replace the ten thousands, thousands, hundreds, tens, ones place by 0 and increase 1 in the hundred thousands place.

Question 23. ? Building on the Essential Question When is estimation an effective way to determine an answer? Practice Answer: The effective way to determine the answer is the estimation. and it is also an effective way to determine whether the answer is reasonable or not.

McGraw Hill My Math Grade 4 Chapter 1 Lesson 5 My Homework Answer Key

Round each number to the given place-value position.

Question 1. 64,569; thousands Answer: Given that, The number is 64,569. 64,569 rounded to the nearest thousand is 65,000. In the number 64,569 the hundreds place is greater than the 500. So replace the hundreds, tens, ones place by 0 and add 1 to the thousands place.

Question 2. 155,016; thousands Answer: Given that, The number is 155,016. 155,016 rounded to the thousands place is 155,000. In the number 155,016 the hundreds place less than 500. So, replace the hundreds, tens, ones place by 0.

Question 3. 73,569; ten thousands Answer: Given that, The number is 73,569. 73,569 rounded to the nearest ten thousands place is 70,000. In the number 73,569 the thousands place is less than the 5000. So replace the hundreds, tens, and ones place by 0.

Question 4. 708,569; ten thousands Answer: Given that, The number is 708,569. 708,569 rounded to the nearest ten thousands place is 710,000. In the number 708,569 the thousands place is greater than the 5000. So replace the thousands, hundreds, tens, ones place by 0 and add 1 to to the ten thousands place.

Question 5. 91,284; hundred thousands Answer: Given that, The number is 91,284. 91,284 rounded to the nearest hundred thousands place is 100,000. In the number 91,284 the ten thousands place is greater than the 50,000. So, the replace the ten thousands, thousands, hundreds, tens, ones place by 0 and place the 1 in the hundred thousands place.

Question 6. 265,409; hundred thousands Answer: Given that, The number is 265,409. 265,409 rounded to the nearest hundred thousands place is 270,000. In the number 265,409 the ten thousands place is greater than the 50,000. So replace thousands, hundreds, tens, ones place by 0 and increase 1 in the ten thousands place.

Question 7. Luis and his family flew 51,487 miles last summer while on vacation. Rounded to the nearest thousand, how many miles did they fly? Answer: Given that, The Luis and his family flew in last simmer on vacation is 51,487 miles. The 51,487 rounded to the nearest thousand place is 51,000. In 51,487 the hundreds place is less than the 500. so replace the hundreds, tens, ones place by 0. Therefore the Luis and  his family fly 51,000 miles.

Question 8. Miles bought a car that cost $23,556. To the nearest ten thousand, how much did the car cost? Answer: Given that, The cost of a car is $23,556. $23,556 rounded to the nearest ten thousand is $20,000. In $23,556 the thousands place is less than 5000. So, we are round down the digits from thousands place to ones place.

Question 9. Explain how you would round the numbers 33 and 89 to estimate their sum. Answer: The number 33 rounded to the nearest ten is 30. The number 89 rounded to the nearest ten is 90 The sum of 30 and 90 is 30 + 90 = 120. 120 is the estimated sum of 33 + 89.

Use the data from the table for Exercises 10-12.

Question 11. What is the depth of the Pacific Ocean rounded to the nearest ten thousand? Answer: Given that, The depth of the Pacific Ocean is 12,925. 12,925 rounded to the nearest ten thousand is 10,000 In 12,925 the thousands place is less than 5000. So, we are round down the digits from thousands place to ones place.

Question 12. What is the depth of the Indian Ocean rounded to the nearest thousand? Answer: Given that, The depth of the Indian Ocean is 12,598. 12,598 rounded to the nearest ten thousand is 10,000 In 12598 the thousands place is less than 5000. So, we are round down the digits from thousands place to ones place.

Test Practice

Question 13. What is 104,229 rounded to the nearest ten thousand? A. 90,000 B. 100,000 C. 104,000 D. 110,000 Answer: The number 104,229 rounded to the nearest ten thousand is 100,000. Option B is the correct answer.

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