Chapter 5: Ratios and Proportions
Chapter 5 homework solutions.
5.1-5.3 Extra Practice Worksheet
5.1 Ratios and Rates
5.1 Lesson Preso
5.1 Textbook Exercises: page 167
Ba: 1-6, 11-27 odd;
Avg: 1-6, 11-21 odd, 24-28 even, 29, 31;
Adv: 1-6, 18-38 even
5.2 Proportions
5.2 Textbook Exercises page 174
Ba: 1-4, 5-13 odd, 21-27 odd;
Avg 1-4, 5-13 odd, 22-30 even;
Adv: 1-4, 6-14 even, 22-32 even
5.3 Writing Proportions
5.3 Lesson Preso
5.3 Textbook Exercises page 182
Ba: 1-3, 9, 11, 12, 13-23 odd
Avg: 1-3, 8-14 even, 19-23
Adv: 1-3, 8-24 even, 25
5.4 Solving Proportions
5.4 Lesson Preso
5.4 Textbook Exercises page 190
Ba: 1-3, 5-9 odd, 15-21 odd, 22, 23-27 odd
Avg: 1-3, 5-9 odd, 15-21 odd, 22, 29, 30, 32-35
Adv: 1-3, 4-8 even, 14-38 even
5.5 Lesson Preso
5.5 Textbook Exercises page 196
Ba: 1-3, 5-11 odd, 12, 13-17 odd
Avg: 1-3, 5-11 odd, 12, 14-17
Adv: 1-3, 4-18 even
5.6 Direct Variation
5.6 Lesson Preso
5.6 Textbook Exercises page 202
Ba: 1-3, 7-17 odd, 18, 19-25 odd
Avg: 1-3, 7-17 odd, 18-28 even
Adv: 1-3, 8-28 even
Chapter 5 Review
5.1-5.3 Review Quizizz:
5.4-5.6 Review Quizizz:
Chapter 5 Review Quizizz:
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Math Homework Pages and Answers
Topic 1: understand place value.
1-1: Patterns with Exponents and Powers of 10
- Homework Page
1-2: Understand Whole-Number Place Value
1-3: Decimals to Thousandths
1-4: Understand Decimal Place Value
1-5: Compare Decimals
1-6: Round Decimals
Topic 2: Use Models and Strategies to Add and Subtract Decimals
2-2: Estimate Sums and Differences of Decimals
2-3: Use Models to Add and Subtract Decimals
2-4: Use Strategies to Add Decimals
2-5: Use Strategies to Subtract Decimals
2-6: Model with Math
Topic 3: Fluently Multiply Multi-Digit Whole Numbers
3-1: Multiply Greater Numbers by Powers of 10
3-2: Estimate Products
3-3: Multiply by 1-Digit Numbers
3-4: Multiply 2-Digit by 2-Digit Numbers
3-5: Multiply 3-Digit by 2-Digit Numbers
3-6: Multiply Whole Numbers with Zeros
3-7: Practice Multiplying Multi-Digit Numbers
3-8: Solve Word Problems
3-9: Critique Reasoning
Topic 4: Use Models and Strategies to Multiply Decimals
4-1:Multiply Decimals by Powers of 10
4-2: Estimate the Product of a Decimal and a Whole Number
4-3: Use Models to Multiply a Decimal and a Whole Number
4-4: Multiply a Decimal and a Whole Number
4-5: Use Models to Multiply a Decimal and a Decimal
4-6: Multiply Decimals Using Partial Products
4-7: Use Properties to Multiply Decimals
4-8: Use Number Sense to Multiply Decimals
4-9: Model with Math
Topic 5: Use Models and Strategies to Divide Whole Numbers
Topic 5-1: Use Patterns and Mental Math to Divide
Topic 5-2: Estimate Quotients with 2-Digit Divisors
Topic 5-3: Use Models and Properties to Divide with 2-Digit Divisors
Topic 5-4: Use Partial Quotients to Divide
Topic 5-5: Use Sharing to Divide: Two Digit Divisors
Topic 5-6: Use Sharing to Divide: Greater Dividends
Topic 5-7: Choose a Strategy to Divide
Lesson 5-8: Make Sense and Persevere
Topic 6: Use Models and Strategies to Divide Decimals
6-1: Patterns for Dividing with Decimals
6-2: Estimate Decimals Quotients
6-3: Use Models to Divide by a 1-Digit Number
6-4: Divide by a 2-digit Whole Number
6-5: Divide by a Decimal
6-6: Reasoning
Topic 7: Use Equivalent Fractions to Add and Subtract Fractions
7-2: Find Common Denominators
- Answers
7-3: Add Fractions with Unlike Denominators
7-4: Subtract Fractions with Unlike Denominators
7-5: Add and Subtract Fractions
7-6: Estimate Sums and Differences of Mixed Numbers
7-7: Use Models to Add Mixed Numbers
7-8: Add Mixed Numbers
7-9: Use Models to Subtract Mixed Numbers
7-10: Subtract Mixed Numbers
7-11: Add and Subtract Mixed Numbers
Topic 8: Apply Understanding of Multiplication to Multiply Fractions
8-1: Multiply a Fraction by a Whole Number
8-2: Multiply a Whole Number by a Fraction
8-3: Multiply Fractions and Whole Numbers
8-4: Use Models to Multiply Two Fractions
8-5: Multiply Two Fractions
8-6: Area of a Rectangle
8-7: Multiply Mixed Numbers
Topic 9: Apply Understanding of Division to Divide Fractions
Lesson 9-1: Fractions and Division
Lesson 9-2: Fractions and Mixed Numbers as Quotients
Lesson 9-3: Use Multiplication to Divide
Lesson 9-4: Divide Whole Numbers by Unit Fractions
Lesson 9-5: Divide Unit Fractions by Non-Zero Whole Numbers
Lesson 9-6: Divide Whole Numbers and Unit Fractions
Lesson 9-7: Solve Problems Using Division
Lesson 9-8: Repeated Reasoning
Topic 10: Represent and Interpret Data
Lesson 10-1: Analyze Line Plots
Lesson 10-2: Make Line Plots
Lesson 10-3: Solve Word Problems Using Measurement Data
Lesson 10-4: Critique Reasoning
Topic 11: Understand Volume Concepts
Lesson 11-1: Model Volume
Lesson 11-2: Develop a Formula
Lesson 11-3: Combine Volume of Prisms
Lesson 11-4: Solve Word Problems Using Volume
Lesson 11-5: Use Appropriate Tools
5th Grade Homework Policy
We value your family time. therefore, we will be intentional with any homework we send home. students’ daily homework will be required reading of at least 30 minutes., students will have nightly math homework which supports our learning in class. there are a lot of new math concepts in 5th grade and it is important for students' growth and understanding. additionally, study guides and other assignments may be sent home periodically throughout the year., please note: if a student exhibits off-task behaviors, fails to complete an assignment, or is struggling to understand a concept, an assignment will be sent home for completion..
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Eureka Math Grade 5 Module 3 Lesson 5 Answer Key
Engage ny eureka math 5th grade module 3 lesson 5 answer key, eureka math grade 5 module 3 lesson 5 sprint answer key.
Question 1. 4 – \(\frac{1}{2}\) = Answer: 4 – \(\frac{1}{2}\) = 3\(\frac{1}{2}\) Explanation : 4 – \(\frac{1}{2}\) = \(\frac{8}{2}\) – \(\frac{1}{2}\) = \(\frac{7}{2}\) = 3\(\frac{1}{2}\)
Question 2. 3 – \(\frac{1}{2}\) = Answer: 3 – \(\frac{1}{2}\) = 2\(\frac{1}{2}\) Explanation : 3 – \(\frac{1}{2}\) = \(\frac{6}{2}\) – \(\frac{1}{2}\) = \(\frac{5}{2}\) = 2\(\frac{1}{2}\)
Question 3. 2 – \(\frac{1}{2}\) = Answer: 2 – \(\frac{1}{2}\) = 1\(\frac{1}{2}\) Explanation : 2 – \(\frac{1}{2}\) = \(\frac{4}{2}\) – \(\frac{1}{2}\) = \(\frac{3}{2}\) = 1\(\frac{1}{2}\)
Question 4. 1 – \(\frac{1}{2}\) = Answer: 1 – \(\frac{1}{2}\) = \(\frac{1}{2}\) Explanation : 1 – \(\frac{1}{2}\) = \(\frac{2}{2}\) – \(\frac{1}{2}\) = \(\frac{1}{2}\)
Question 5. 1 – \(\frac{1}{3}\) = Answer: 1 – \(\frac{1}{3}\) = \(\frac{2}{3}\) Explanation : 1 – \(\frac{1}{3}\) = \(\frac{3}{3}\) – \(\frac{1}{3}\) = \(\frac{2}{3}\)
Question 6. 2 – \(\frac{1}{3}\) = Answer: 2 – \(\frac{1}{3}\) = 1\(\frac{2}{3}\) Explanation : 2 – \(\frac{1}{3}\) = \(\frac{6}{3}\) – \(\frac{1}{3}\) = \(\frac{5}{3}\) = 1\(\frac{2}{3}\)
Question 7. 4 – \(\frac{1}{3}\) = Answer: 4 – \(\frac{1}{3}\) = 3\(\frac{2}{3}\) Explanation : 4 – \(\frac{1}{3}\) = \(\frac{12}{3}\) – \(\frac{1}{3}\) = \(\frac{11}{3}\) = 3\(\frac{2}{3}\)
Question 8. 4 – \(\frac{2}{3}\) = Answer: 4 – \(\frac{2}{3}\) = 3\(\frac{1}{3}\) Explanation : 4 – \(\frac{2}{3}\) = \(\frac{12}{3}\) – \(\frac{2}{3}\) = \(\frac{10}{3}\) = 3\(\frac{1}{3}\)
Question 9. 2 – \(\frac{2}{3}\) = Answer: 2 – \(\frac{1}{3}\) = 1\(\frac{2}{3}\) Explanation : 2 – \(\frac{1}{3}\) = \(\frac{6}{3}\) – \(\frac{1}{3}\) = \(\frac{5}{3}\) = 1\(\frac{2}{3}\)
Question 10. 2 – \(\frac{1}{4}\) = Answer: 2 – \(\frac{1}{4}\) = 1\(\frac{3}{4}\) Explanation : 2 – \(\frac{1}{4}\) = \(\frac{8}{4}\) – \(\frac{1}{4}\) = \(\frac{7}{4}\) = 1\(\frac{3}{4}\)
Question 11. 2 – \(\frac{3}{4}\) = Answer: 2 – \(\frac{3}{4}\) = 1\(\frac{1}{4}\) Explanation : 2 – \(\frac{3}{4}\) = \(\frac{8}{4}\) – \(\frac{3}{4}\) = \(\frac{5}{4}\) = 1\(\frac{1}{4}\)
Question 12. 3 – \(\frac{3}{4}\) = Answer: 3 – \(\frac{3}{4}\) = 2\(\frac{1}{4}\) Explanation : 3 – \(\frac{3}{4}\) = \(\frac{12}{4}\) – \(\frac{3}{4}\) = \(\frac{9}{4}\) = 2\(\frac{1}{4}\)
Question 13. 3 – \(\frac{1}{4}\) = Answer: 3 – \(\frac{1}{4}\) = 2\(\frac{3}{4}\) Explanation : 3 – \(\frac{1}{4}\) = \(\frac{12}{4}\) – \(\frac{1}{4}\) = \(\frac{11}{4}\) = 2\(\frac{3}{4}\)
Question 14. 4 – \(\frac{3}{4}\) = Answer: 4 – \(\frac{3}{4}\) = 3\(\frac{1}{4}\) Explanation : 4 – \(\frac{3}{4}\) = \(\frac{16}{4}\) – \(\frac{3}{4}\) = \(\frac{13}{4}\) = 3\(\frac{1}{4}\)
Question 15. 2 – \(\frac{1}{10}\) = Answer: 2 – \(\frac{1}{10}\) = 1\(\frac{9}{10}\) Explanation : 2 – \(\frac{1}{10}\) = \(\frac{20}{10}\) – \(\frac{1}{10}\) = \(\frac{19}{10}\) = 1\(\frac{9}{10}\)
Question 16. 3 – \(\frac{9}{10}\) = Answer: 3 – \(\frac{9}{10}\) = 2\(\frac{1}{10}\) Explanation : 3 – \(\frac{9}{10}\) = \(\frac{30}{10}\) – \(\frac{9}{10}\) = \(\frac{21}{10}\) = 2\(\frac{1}{10}\)
Question 17. 2 – \(\frac{7}{10}\) = Answer: Answer: 2 – \(\frac{7}{10}\) = 1\(\frac{3}{10}\) Explanation : 2 – \(\frac{7}{10}\) = \(\frac{20}{10}\) – \(\frac{7}{10}\) = \(\frac{13}{10}\) = 1\(\frac{3}{10}\)
Question 18. 4 – \(\frac{3}{10}\) = Answer: 4 – \(\frac{1}{10}\) = 3\(\frac{9}{10}\) Explanation : 4 – \(\frac{1}{10}\) = \(\frac{40}{10}\) – \(\frac{1}{10}\) = \(\frac{39}{10}\) = 3\(\frac{9}{10}\)
Question 19. 3 – \(\frac{1}{5}\) = Answer: 3 – \(\frac{1}{5}\) = 2\(\frac{4}{5}\) Explanation : 3 – \(\frac{1}{5}\) = \(\frac{15}{5}\) – \(\frac{1}{5}\) = \(\frac{14}{5}\) = 2\(\frac{4}{5}\)
Question 20. 3 – \(\frac{2}{5}\) = Answer: 3 – \(\frac{2}{5}\) = 2\(\frac{3}{5}\) Explanation : 3 – \(\frac{2}{5}\) = \(\frac{15}{5}\) – \(\frac{2}{5}\) = \(\frac{13}{5}\) = 2\(\frac{3}{5}\)
Question 21. 3 – \(\frac{4}{5}\) = Answer: 3 – \(\frac{4}{5}\) = 2\(\frac{1}{5}\) Explanation : 3 – \(\frac{4}{5}\) = \(\frac{15}{5}\) – \(\frac{4}{5}\) = \(\frac{11}{5}\) = 2\(\frac{1}{5}\)
Question 22. 3 – \(\frac{3}{5}\) = Answer: 3 – \(\frac{3}{5}\) = 2\(\frac{2}{5}\) Explanation : 3 – \(\frac{3}{5}\) = \(\frac{15}{5}\) – \(\frac{3}{5}\) = \(\frac{12}{5}\) = 2\(\frac{2}{5}\)
Question 23. 3 – \(\frac{1}{8}\) = Answer: 3 – \(\frac{1}{8}\) = 2\(\frac{7}{8}\) Explanation : 3 – \(\frac{1}{8}\) = \(\frac{24}{8}\) – \(\frac{1}{8}\) = \(\frac{23}{8}\) = 2\(\frac{7}{8}\)
Question 24. 3 – \(\frac{3}{8}\) = Answer: 3 – \(\frac{3}{8}\) = 2\(\frac{5}{8}\) Explanation : 3 – \(\frac{3}{8}\) = \(\frac{24}{8}\) – \(\frac{3}{8}\) = \(\frac{21}{8}\) = 2\(\frac{5}{8}\)
Question 25. 3 – \(\frac{5}{8}\) = Answer: 3 – \(\frac{5}{8}\) = 2\(\frac{3}{8}\) Explanation : 3 – \(\frac{5}{8}\) = \(\frac{24}{8}\) – \(\frac{5}{8}\) = \(\frac{19}{8}\) = 2\(\frac{3}{8}\)
Question 26. 3 – \(\frac{7}{8}\) = Answer: 3 – \(\frac{7}{8}\) = 2\(\frac{1}{8}\) Explanation : 3 – \(\frac{7}{8}\) = \(\frac{24}{8}\) – \(\frac{7}{8}\) = \(\frac{17}{8}\) = 2\(\frac{1}{8}\)
Question 27. 2 – \(\frac{7}{8}\) = Answer: 2 – \(\frac{7}{8}\) = 1\(\frac{1}{8}\) Explanation : 2 – \(\frac{7}{8}\) = \(\frac{16}{8}\) – \(\frac{7}{8}\) = \(\frac{9}{8}\) = 1\(\frac{1}{8}\)
Question 28. 4 – \(\frac{1}{7}\) = Answer: 4 – \(\frac{1}{7}\) = 3\(\frac{6}{7}\) Explanation : 4 – \(\frac{1}{7}\) = \(\frac{28}{7}\) – \(\frac{1}{7}\) = \(\frac{27}{7}\) = 3\(\frac{6}{7}\)
Question 29. 3 – \(\frac{6}{7}\) = Answer: 3 – \(\frac{6}{7}\) = 2\(\frac{1}{7}\) Explanation : 3 – \(\frac{6}{7}\) = \(\frac{21}{7}\) – \(\frac{6}{7}\) = \(\frac{15}{7}\) = 2\(\frac{1}{7}\)
Question 30. 2 – \(\frac{3}{7}\) = Answer: 2 – \(\frac{3}{7}\) = Answer: 2 – \(\frac{3}{7}\) = 1\(\frac{4}{7}\) Explanation : 2 – \(\frac{3}{7}\) = \(\frac{14}{7}\) – \(\frac{3}{7}\) = \(\frac{11}{7}\) = 1\(\frac{4}{7}\)
Question 31. 4 – \(\frac{4}{7}\) = Answer: 4 – \(\frac{4}{7}\) = Answer: 4 – \(\frac{4}{7}\) = 3\(\frac{3}{7}\) Explanation : 4 – \(\frac{4}{7}\) = \(\frac{28}{7}\) – \(\frac{4}{7}\) = \(\frac{24}{7}\) = 3\(\frac{3}{7}\)
Question 32. 3 – \(\frac{5}{7}\) = Answer: 3 – \(\frac{5}{7}\) = 2\(\frac{2}{7}\) Explanation : 3 – \(\frac{5}{7}\) = \(\frac{21}{7}\) – \(\frac{5}{7}\) = \(\frac{16}{7}\) = 2\(\frac{2}{7}\)
Question 33. 4 – \(\frac{3}{4}\) = Answer: 4 – \(\frac{3}{4}\) = 3\(\frac{1}{4}\) Explanation : 4 – \(\frac{3}{4}\) = \(\frac{16}{4}\) – \(\frac{3}{4}\) = \(\frac{13}{4}\) = 3\(\frac{1}{4}\)
Question 34. 2 – \(\frac{5}{8}\) = Answer: 2 – \(\frac{5}{8}\) = 1\(\frac{3}{8}\) Explanation : 2 – \(\frac{5}{8}\) = \(\frac{16}{8}\) – \(\frac{5}{8}\) = \(\frac{11}{8}\) = 1\(\frac{3}{8}\)
Question 35. 3 – \(\frac{3}{10}\) = Answer: 3 – \(\frac{3}{10}\) = 2\(\frac{7}{10}\) Explanation : 3 – \(\frac{3}{10}\) = \(\frac{30}{10}\) – \(\frac{3}{10}\) = \(\frac{27}{10}\) = 2\(\frac{7}{10}\)
Question 36. 4 – \(\frac{2}{5}\) = Answer: 4 – \(\frac{2}{5}\) = 3\(\frac{3}{5}\) Explanation : 4 – \(\frac{2}{5}\) = \(\frac{20}{5}\) – \(\frac{2}{5}\) = \(\frac{18}{5}\) = 3\(\frac{3}{5}\)
Question 37. 4 – \(\frac{3}{7}\) = Answer: 4 – \(\frac{3}{7}\) = Answer: 4 – \(\frac{3}{7}\) = 3\(\frac{4}{7}\) Explanation : 4 – \(\frac{3}{7}\) = \(\frac{28}{7}\) – \(\frac{3}{7}\) = \(\frac{25}{7}\) = 3\(\frac{4}{7}\)
Question 38. 3 – \(\frac{7}{10}\) = Answer: 3 – \(\frac{7}{10}\) = 2\(\frac{3}{10}\) Explanation : 3 – \(\frac{7}{10}\) = \(\frac{30}{10}\) – \(\frac{7}{10}\) = \(\frac{23}{10}\) = 2\(\frac{3}{10}\)
Question 39. 3 – \(\frac{5}{10}\) = Answer: 3 – \(\frac{5}{10}\) = 2\(\frac{5}{10}\) Explanation : 3 – \(\frac{5}{10}\) = \(\frac{30}{10}\) – \(\frac{5}{10}\) = \(\frac{25}{10}\) = 2\(\frac{5}{10}\)
Question 40. 4 – \(\frac{2}{8}\) = Answer: 4 – \(\frac{2}{8}\) = 3\(\frac{6}{8}\) Explanation : 4 – \(\frac{2}{8}\) = \(\frac{32}{8}\) – \(\frac{2}{8}\) = \(\frac{30}{8}\) = 3\(\frac{6}{8}\)
Question 41. 2 – \(\frac{9}{12}\) = Answer: 2 – \(\frac{9}{12}\) = 2 – \(\frac{3}{4}\) = 1\(\frac{1}{4}\) Explanation : 2 – \(\frac{3}{4}\) = \(\frac{8}{4}\) – \(\frac{3}{4}\) = \(\frac{5}{4}\) = 1\(\frac{1}{4}\)
Question 42. 4 – \(\frac{2}{12}\) = 3\(\frac{5}{6}\) Answer: 4 – \(\frac{2}{12}\) = 4 – \(\frac{1}{6}\) = 3\(\frac{5}{6}\) Explanation : 4 – \(\frac{1}{6}\) = \(\frac{24}{6}\) – \(\frac{1}{6}\) = \(\frac{23}{6}\) = 3\(\frac{5}{6}\)
Question 43. 3 – \(\frac{2}{6}\) = Answer: 3 – \(\frac{2}{6}\) = 3 – \(\frac{1}{3}\) = 2\(\frac{2}{3}\) Explanation : 3 – \(\frac{1}{3}\) = \(\frac{9}{3}\) – \(\frac{1}{3}\) = \(\frac{8}{3}\) = 2\(\frac{2}{3}\)
Question 44. 2 – \(\frac{8}{12}\) = Answer: 2 – \(\frac{8}{12}\) = 2 – \(\frac{2}{3}\) = 1\(\frac{1}{3}\) Explanation : 2 – \(\frac{2}{3}\) = \(\frac{6}{3}\) – \(\frac{2}{3}\) = \(\frac{4}{3}\) = 2\(\frac{1}{3}\)
Question 1. 1 – \(\frac{1}{2}\) = Answer: 1 – \(\frac{1}{2}\) = \(\frac{1}{2}\) Explanation : 1 – \(\frac{1}{2}\) = \(\frac{2}{2}\) – \(\frac{1}{2}\) = \(\frac{1}{2}\)
Question 2. 2 – \(\frac{1}{2}\) = Answer: 2 – \(\frac{1}{2}\) = 1\(\frac{1}{2}\) Explanation : 2 – \(\frac{1}{2}\) = \(\frac{4}{2}\) – \(\frac{1}{2}\) = \(\frac{3}{2}\) = 1\(\frac{1}{2}\)
Question 3. 3 – \(\frac{1}{2}\) = Answer: 3 – \(\frac{1}{2}\) = 2\(\frac{1}{2}\) Explanation : 3 – \(\frac{1}{2}\) = \(\frac{6}{2}\) – \(\frac{1}{2}\) = \(\frac{5}{2}\) = 2\(\frac{1}{2}\)
Question 4. 4 – \(\frac{1}{2}\) = Answer: 4 – \(\frac{1}{2}\) = 3\(\frac{1}{2}\) Explanation : 4 – \(\frac{1}{2}\) = \(\frac{8}{2}\) – \(\frac{1}{2}\) = \(\frac{7}{2}\) = 3\(\frac{1}{2}\)
Question 5. 1 – \(\frac{1}{4}\) = Answer: 1 – \(\frac{1}{4}\) = \(\frac{3}{4}\) Explanation : 1 – \(\frac{1}{4}\) = \(\frac{4}{4}\) – \(\frac{1}{4}\) = \(\frac{3}{4}\)
Question 6. 2 – \(\frac{1}{4}\) = Answer: 2 – \(\frac{1}{4}\) = 1\(\frac{3}{4}\) Explanation : 2 – \(\frac{1}{4}\) = \(\frac{8}{4}\) – \(\frac{1}{4}\) = \(\frac{7}{4}\) = 1\(\frac{3}{4}\)
Question 7. 4 – \(\frac{1}{4}\) = Answer: 4 – \(\frac{1}{4}\) = 3\(\frac{3}{4}\) Explanation : 4 – \(\frac{1}{4}\) = \(\frac{16}{4}\) – \(\frac{1}{4}\) = \(\frac{15}{4}\) = 3\(\frac{3}{4}\)
Question 8. 4 – \(\frac{3}{4}\) = Answer: 4 – \(\frac{3}{4}\) = 3\(\frac{1}{4}\) Explanation : 4 – \(\frac{3}{4}\) = \(\frac{16}{4}\) – \(\frac{3}{4}\) = \(\frac{13}{4}\) = 3\(\frac{1}{4}\)
Question 9. 2 – \(\frac{3}{4}\) = Answer: 2 – \(\frac{3}{4}\) = 1\(\frac{1}{4}\) Explanation : 2 – \(\frac{3}{4}\) = \(\frac{8}{4}\) – \(\frac{3}{4}\) = \(\frac{5}{4}\) = 1\(\frac{1}{4}\)
Question 10. 2 – \(\frac{1}{3}\) = Answer: 2 – \(\frac{1}{3}\) = 1\(\frac{2}{3}\) Explanation : 2 – \(\frac{1}{3}\) = \(\frac{6}{3}\) – \(\frac{1}{3}\) = \(\frac{5}{3}\) = 1\(\frac{2}{3}\)
Question 11. 2 – \(\frac{2}{3}\) = Answer: 2 – \(\frac{2}{3}\) = 1\(\frac{1}{3}\) Explanation : 2 – \(\frac{2}{3}\) = \(\frac{6}{3}\) – \(\frac{2}{3}\) = \(\frac{4}{3}\) = 1\(\frac{1}{3}\)
Question 12. 3 – \(\frac{2}{3}\) = Answer: 3 – \(\frac{2}{3}\) = 2\(\frac{1}{3}\) Explanation : 3 – \(\frac{2}{3}\) = \(\frac{9}{3}\) – \(\frac{2}{3}\) = \(\frac{7}{3}\) = 2\(\frac{1}{3}\)
Question 13. 3 – \(\frac{1}{3}\) = Answer: 3 – \(\frac{1}{3}\) = 2\(\frac{2}{3}\) Explanation : 3 – \(\frac{1}{3}\) = \(\frac{9}{3}\) – \(\frac{1}{3}\) = \(\frac{8}{3}\) = 2\(\frac{2}{3}\)
Question 14. 4 – \(\frac{2}{3}\) = Answer: 4 – \(\frac{2}{3}\) = 3\(\frac{1}{3}\) Explanation : 4 – \(\frac{2}{3}\) = \(\frac{12}{3}\) – \(\frac{2}{3}\) = \(\frac{10}{3}\) = 3\(\frac{1}{3}\)
Question 15. 3 – \(\frac{1}{10}\) = Answer: 3 – \(\frac{1}{10}\) = 2\(\frac{9}{10}\) Explanation : 3 – \(\frac{1}{10}\) = \(\frac{30}{10}\) – \(\frac{9}{10}\) = \(\frac{21}{10}\) = 2\(\frac{1}{10}\)
Question 16. 2 – \(\frac{9}{10}\) = Answer: 2 – \(\frac{9}{10}\) = 1\(\frac{1}{10}\) Explanation : 2 – \(\frac{9}{10}\) = \(\frac{20}{10}\) – \(\frac{9}{10}\) = \(\frac{11}{10}\) = 1\(\frac{1}{10}\)
Question 17. 4 – \(\frac{7}{10}\) = Answer: 4 – \(\frac{7}{10}\) = 3\(\frac{3}{10}\) Explanation : 4 – \(\frac{7}{10}\) = \(\frac{40}{10}\) – \(\frac{7}{10}\) = \(\frac{33}{10}\) = 3\(\frac{3}{10}\)
Question 18. 3 – \(\frac{3}{10}\) = Answer: 3 – \(\frac{3}{10}\) = 2\(\frac{7}{10}\) Explanation : 3 – \(\frac{3}{10}\) = \(\frac{30}{10}\) – \(\frac{3}{10}\) = \(\frac{27}{10}\) = 2\(\frac{7}{10}\)
Question 19. 2 – \(\frac{1}{5}\) = Answer: 2 – \(\frac{1}{5}\) = 1\(\frac{4}{5}\) Explanation : 2 – \(\frac{1}{5}\) = \(\frac{10}{5}\) – \(\frac{1}{5}\) = \(\frac{9}{5}\) = 1\(\frac{4}{5}\)
Question 20. 2 – \(\frac{2}{5}\) = Answer: 2 – \(\frac{2}{5}\) = 1\(\frac{3}{5}\) Explanation : 2 – \(\frac{2}{5}\) = \(\frac{10}{5}\) – \(\frac{2}{5}\) = \(\frac{8}{5}\) = 1\(\frac{3}{5}\)
Question 21. 2 – \(\frac{4}{5}\) = Answer: 2 – \(\frac{4}{5}\) = 1\(\frac{1}{5}\) Explanation : 2 – \(\frac{1}{5}\) = \(\frac{10}{5}\) – \(\frac{4}{5}\) = \(\frac{6}{5}\) = 1\(\frac{1}{5}\)
Question 23. 2 – \(\frac{1}{8}\) = Answer: 2 – \(\frac{1}{8}\) = 1\(\frac{7}{8}\) Explanation : 2 – \(\frac{1}{8}\) = \(\frac{16}{8}\) – \(\frac{1}{8}\) = \(\frac{15}{8}\) = 1\(\frac{7}{8}\)
Question 24. 2 – \(\frac{3}{8}\) = Answer: 2 – \(\frac{3}{8}\) = 1\(\frac{5}{8}\) Explanation : 2 – \(\frac{3}{8}\) = \(\frac{16}{8}\) – \(\frac{3}{8}\) = \(\frac{13}{8}\) = 1\(\frac{4}{8}\)
Question 25. 2 – \(\frac{5}{8}\) = Answer: 2 – \(\frac{5}{8}\) = 1\(\frac{3}{8}\) Explanation : 2 – \(\frac{5}{8}\) = \(\frac{16}{8}\) – \(\frac{5}{8}\) = \(\frac{11}{8}\) = 1\(\frac{3}{8}\)
Question 26. 2 – \(\frac{7}{8}\) = Answer: 2 – \(\frac{7}{8}\) = 1\(\frac{1}{8}\) Explanation : 2 – \(\frac{7}{8}\) = \(\frac{16}{8}\) – \(\frac{7}{8}\) = \(\frac{9}{8}\) = 1\(\frac{1}{8}\)
Question 27. 4 – \(\frac{7}{8}\) = Answer: 4 – \(\frac{7}{8}\) = 3\(\frac{1}{8}\) Explanation : 4 – \(\frac{7}{8}\) = \(\frac{32}{8}\) – \(\frac{3}{8}\) = \(\frac{13}{8}\) = 1\(\frac{4}{8}\)
Question 28. 3 – \(\frac{1}{7}\) = Answer: 3 – \(\frac{1}{7}\) = 2\(\frac{6}{7}\) Explanation : 3 – \(\frac{1}{7}\) = \(\frac{21}{7}\) – \(\frac{1}{7}\) = \(\frac{20}{7}\) = 2\(\frac{6}{7}\)
Question 29. 2 – \(\frac{6}{7}\) = Answer: 2 – \(\frac{6}{7}\) = 1\(\frac{1}{7}\) Explanation : 2 – \(\frac{6}{7}\) = \(\frac{14}{7}\) – \(\frac{6}{7}\) = \(\frac{8}{7}\) = 1\(\frac{1}{7}\)
Question 30. 4 – \(\frac{3}{7}\) = Answer: 4 – \(\frac{3}{7}\) = 3\(\frac{4}{7}\) Explanation : 4 – \(\frac{3}{7}\) = \(\frac{28}{7}\) – \(\frac{3}{7}\) = \(\frac{25}{7}\) = 3\(\frac{4}{7}\)
Question 31. 3 – \(\frac{4}{7}\) = Answer: 3 – \(\frac{4}{7}\) = 2\(\frac{3}{7}\) Explanation : 3 – \(\frac{4}{7}\) = \(\frac{21}{7}\) – \(\frac{4}{7}\) = \(\frac{17}{7}\) = 2\(\frac{3}{7}\)
Question 32. 2 – \(\frac{5}{7}\) = Answer: 2 – \(\frac{5}{7}\) = 1\(\frac{2}{7}\) Explanation : 2 – \(\frac{5}{7}\) = \(\frac{14}{7}\) – \(\frac{5}{7}\) = \(\frac{9}{7}\) = 1\(\frac{2}{7}\)
Question 33. 3 – \(\frac{3}{4}\) = Answer: 3 – \(\frac{3}{4}\) = 2\(\frac{1}{4}\) Explanation : 3 – \(\frac{3}{4}\) = \(\frac{12}{4}\) – \(\frac{3}{4}\) = \(\frac{9}{4}\) = 2\(\frac{1}{4}\)
Question 34. 4 – \(\frac{5}{8}\) = Answer: 4 – \(\frac{5}{8}\) = 3\(\frac{3}{8}\) Explanation : 4 – \(\frac{5}{8}\) = \(\frac{32}{8}\) – \(\frac{5}{8}\) = \(\frac{27}{8}\) = 3\(\frac{3}{8}\)
Question 35. 2 – \(\frac{3}{10}\) = Answer: 2 – \(\frac{3}{10}\) = 1\(\frac{7}{10}\) Explanation : 2 – \(\frac{3}{10}\) = \(\frac{20}{10}\) – \(\frac{3}{10}\) = \(\frac{17}{10}\) = 1\(\frac{7}{10}\)
Question 36. 3 – \(\frac{2}{5}\) = Answer: 3 – \(\frac{2}{5}\) = 2\(\frac{3}{5}\) Explanation : 3 – \(\frac{2}{5}\) = \(\frac{15}{5}\) – \(\frac{2}{5}\) = \(\frac{13}{5}\) = 2\(\frac{3}{5}\)
Question 37. 3 – \(\frac{3}{7}\) = Answer: 3 – \(\frac{3}{7}\) = 2\(\frac{4}{7}\) Explanation : 3 – \(\frac{3}{7}\) = \(\frac{21}{7}\) – \(\frac{3}{7}\) = \(\frac{18}{7}\) = 2\(\frac{4}{7}\)
Question 38. 2 – \(\frac{7}{10}\) = Answer: 2 – \(\frac{7}{10}\) = 1\(\frac{3}{10}\) Explanation : 2 – \(\frac{7}{10}\) = \(\frac{20}{10}\) – \(\frac{7}{10}\) = \(\frac{13}{10}\) = 1\(\frac{3}{10}\)
Question 39. 2 – \(\frac{5}{10}\) = Answer: 2 – \(\frac{5}{10}\) = 1\(\frac{1}{2}\) Explanation : 2 – \(\frac{5}{10}\) = \(\frac{20}{10}\) – \(\frac{5}{10}\) = \(\frac{15}{10}\) = \(\frac{3}{2}\) = 1\(\frac{1}{2}\)
Question 40. 3 – \(\frac{6}{8}\) = Answer: 3 – \(\frac{6}{8}\) = 2\(\frac{1}{4}\) Explanation : 3 – \(\frac{6}{8}\) = \(\frac{24}{8}\) – \(\frac{6}{8}\) = \(\frac{18}{8}\) = 2\(\frac{1}{4}\)
Question 41. 4 – \(\frac{3}{12}\) = Answer: 4 – \(\frac{3}{12}\) = 4 – \(\frac{1}{4}\) = 3\(\frac{3}{4}\) Explanation : 4 – \(\frac{1}{4}\) = \(\frac{16}{4}\) – \(\frac{1}{4}\) = \(\frac{15}{4}\) = 3\(\frac{3}{4}\)
Question 42. 3 – \(\frac{10}{12}\) = Answer: 3 – \(\frac{10}{12}\) = 3 – \(\frac{5}{6}\) = 2\(\frac{1}{6}\) Explanation : 3 – \(\frac{5}{6}\) = \(\frac{18}{6}\) – \(\frac{5}{6}\) = \(\frac{13}{6}\) = 2\(\frac{1}{6}\)
Question 43. 2 – \(\frac{4}{6}\) = Answer: 2 – \(\frac{4}{6}\) = 2 – \(\frac{2}{3}\) = 1\(\frac{1}{3}\) Explanation : 2 – \(\frac{2}{3}\) = \(\frac{6}{3}\) – \(\frac{2}{3}\) = \(\frac{4}{3}\) = 1\(\frac{1}{3}\)
Question 44. 4 – \(\frac{4}{12}\) = Answer: 4 – \(\frac{4}{12}\) = 4 – \(\frac{1}{3}\) = 3\(\frac{2}{3}\) Explanation : 4 – \(\frac{1}{3}\) = \(\frac{12}{3}\) – \(\frac{1}{3}\) = \(\frac{11}{3}\) = 3\(\frac{2}{3}\)
Eureka Math Grade 5 Module 3 Lesson 5 Problem Set Answer Key
Question 2. Mr. Penman had \(\frac{2}{3}\) liter of salt water. He used \(\frac{1}{5}\) of a liter for an experiment. How much salt water does Mr. Penman have left? Answer: Quantity of salt water = \(\frac{2}{3}\) Quantity of salt water used = \(\frac{1}{5}\) Quantity of salt water left = \(\frac{2}{3}\) – \(\frac{1}{5}\) = \(\frac{10}{15}\) – \(\frac{3}{15}\) = \(\frac{7}{15}\) .
Eureka Math Grade 5 Module 3 Lesson 5 Exit Ticket Answer Key
Eureka Math Grade 5 Module 3 Lesson 5 Homework Answer Key
Question 3. Robin used \(\frac{1}{4}\) of a pound of butter to make a cake. Before she started, she had \(\frac{7}{8}\) of a pound of butter. How much butter did Robin have when she was done baking? Give your answer as a fraction of a pound. Answer: Quantity of butter used to make cake = \(\frac{1}{4}\) pound Quantity of butter with Robin before baking cake = \(\frac{7}{8}\) pound . Total Quantity of butter with Robin after baking = \(\frac{7}{8}\) – \(\frac{1}{4}\) pound = \(\frac{7}{8}\) – \(\frac{2}{8}\) = \(\frac{5}{8}\) pound Therefore, Robin have \(\frac{5}{8}\) pound when she was done baking .
Question 4. Katrina needs \(\frac{3}{5}\) kilogram of flour for a recipe. Her mother has \(\frac{3}{7}\) kilogram of flour in her pantry. Is this enough flour for the recipe? If not, how much more will she need? Answer: Quantity of Flour Required for Recipe = \(\frac{3}{5}\) Quantity of Flour with her mother = \(\frac{3}{7}\) Quantity of Flour Enough or not = \(\frac{3}{7}\) – \(\frac{3}{5}\) = \(\frac{15}{35}\) – \(\frac{21}{35}\) = – \(\frac{6}{35}\) that means negative indicate doenot enough. She needs more \(\frac{6}{35}\) Quantity of Flour for the Recipe .
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Texas Go Math Grade 5 Lesson 5.3 Answer Key Estimate Fraction Sums and Differences
Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 5.3 Answer Key Estimate Fraction Sums and Differences.
Unlock the Problem
Kimberly will be riding her bike to school this year. The distance from her house to the end of the Street is \(\frac{1}{62}\)mile. The distance from the end of the Street to the school is \(\frac{3}{8}\) mile. About how far is Kimberly’s house from school?
You can use benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
STEP 3: Add the rounded fractions.
Another Way
Use mental math. You can compare the numerator and the denominator to round a fraction and find a reasonable estimate.
Estimate. \(\frac{9}{10}\) – \(\frac{5}{8}\) STEP 1: Round \(\frac{9}{10}\). Think: The numerator is about the same as the denominator. Round the fraction \(\frac{9}{10}\) to __________.
Remember A fraction with the same numerator and denominator, such as \(\frac{2}{2}, \frac{5}{5}, \frac{12}{12}\) or \(\frac{96}{96}\), is equal to 1.
STEP 2: Round \(\frac{5}{8}\) Think: The numerator is about half the denominator. Round the fraction \(\frac{5}{8}\) to ___________.
STEP 1: Round \(\frac{9}{10}\). Think: The numerator is about the same as the denominator. Round the fraction \(\frac{9}{10}\) to \(\frac{10}{10}\)
STEP 2: Round \(\frac{5}{8}\) Think: The numerator is about half the denominator. Round the fraction \(\frac{5}{8}\) to \(\frac{4}{8}\)
Math Talk Mathematical Processes
Explain another way you could use benchmarks to estimate \(\frac{9}{10}\) – \(\frac{5}{8}\). Answer: \(\frac{9}{10}\) – \(\frac{5}{8}\) = \(\frac{1}{6}\) \(\frac{1}{6}\) is very near to \(\frac{1}{5}\) Explanation: Used bench marks to find the sum
Share and Show
Estimate the sum or difference.
Question 1. \(\frac{5}{6}\) + \(\frac{3}{8}\) a. Round \(\frac{5}{6}\) to its closest benchmark. Answer: \(\frac{6}{6}\)
b. Round \(\frac{3}{8}\) to its closest benchmark. Answer: \(\frac{4}{8}\)
c. Add to find the estimate. \(\frac{6}{6}\) +\(\frac{4}{8}\) = 1\(\frac{1}{2}\) Answer: 1\(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Go Math Lesson 5.3 5th Grade Answer Key Question 2. \(\frac{5}{9}\) – \(\frac{3}{8}\) Answer: a. Round \(\frac{5}{9}\) to its closest benchmark. Answer: \(\frac{5}{9}\)
c. Add to find the estimate. \(\frac{5}{9}\) – \(\frac{4}{8}\) = 1\(\frac{1}{18}\) Answer: 1\(\frac{1}{18}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 3. \(\frac{5}{6}\) + \(\frac{2}{5}\) Answer: a. Round \(\frac{5}{6}\) to its closest benchmark. Answer: \(\frac{6}{6}\)
b. Round \(\frac{2}{5}\) to its closest benchmark. Answer: \(\frac{2}{5}\)
c. Add to find the estimate. \(\frac{6}{6}\) +\(\frac{2}{5}\) = 1\(\frac{1}{2}\) Answer: 1\(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 4. \(\frac{9}{10}\) – \(\frac{1}{9}\) Answer: a. Round \(\frac{9}{10}\) to its closest benchmark. Answer: \(\frac{10}{10}\)
b. Round \(\frac{1}{9}\) to its closest benchmark. Answer: \(\frac{0}{9}\)
c. Add to find the estimate. \(\frac{10}{10}\) – \(\frac{0}{9}\) = 1 Answer: 1 Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Problem Solving
Lesson 5.3 Answer Key 5th Grade Go Math Question 5. How do you know whether your estimate for \(\frac{9}{10}\) + 3\(\frac{6}{7}\) would be greater than or less than the actual sum? Explain. Answer: Greater than the actual sum \(\frac{9}{10}\) + 3\(\frac{6}{7}\) = close to bench marks \(\frac{10}{10}\) + 3\(\frac{7}{7}\) = 4 Explanation: Is greater than the actual sum used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 6. Write Math Nick estimated that \(\frac{5}{8}\) + \(\frac{4}{7}\) is about 2. Explain how you know his estimate is not reasonable. Answer: \(\frac{5}{8}\) + \(\frac{4}{7}\) close to benchmarks \(\frac{4}{8}\) + \(\frac{4}{7}\) = 1 Explanation: Nick estimated that \(\frac{5}{8}\) + \(\frac{4}{7}\) is about 2. used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1. so, his estimation is wrong
Question 7. Lisa and Valerie are picnicking in Trough Creek State Park in Pennsylvania. Lisa has brought a salad that she made with \(\frac{3}{4}\) cup of strawberries, \(\frac{7}{8}\) cup of peaches, and \(\frac{1}{6}\) cup of blueberries. About how many total cups of fruit are in the salad? Answer: \(\frac{3}{4}\) + \(\frac{7}{8}\) + \(\frac{1}{6}\) very close to bench marks \(\frac{4}{4}\) + \(\frac{8}{8}\) + \(\frac{0}{6}\) =2 \(\frac{1}{2}\) Explanation: Lisa and Valerie are picnicking in Trough Creek State Park in Pennsylvania. Lisa has brought a salad that she made with \(\frac{3}{4}\) cup of strawberries, \(\frac{7}{8}\) cup of peaches, and \(\frac{1}{6}\) cup of blueberries. 2\(\frac{1}{2}\) total cups of fruit are in the salad
Go Math 5th Grade Lesson 5.3 How to Estimate Fractions Question 9. H.O.T Explain how you know that \(\frac{5}{8}\) + \(\frac{6}{10}\) is greater than 1. Answer: No Explanation: Close to the bench marks \(\frac{8}{8}\) + \(\frac{5}{10}\) = 1 actual sum is greater than 1
Daily Assessment Task
Fill in the bubble completely to show your answer.
Question 10. Mia uses \(\frac{1}{5}\) of a bag of gravel in the morning and \(\frac{11}{12}\) of a bag in the afternoon. About how much gravel does she use in one day? (A) 0 bags (B) \(\frac{1}{2}\) bag (C) 1 bag (D) 2\(\frac{1}{2}\) bags Answer: C \(\frac{1}{5}\) + \(\frac{11}{12}\) nearest benchmarks are \(\frac{0}{5}\) + \(\frac{12}{12}\) = 1 Explanation: Mia uses \(\frac{1}{5}\) of a bag of gravel in the morning and \(\frac{11}{12}\) of a bag in the afternoon. she use 1 bag of gravel
Question 11. Evaluate Reasonableness Hector and Veronica are going hiking. They made a trail mix that has \(\frac{2}{3}\) cup of almonds, \(\frac{7}{8}\) cup of peanuts, and \(\frac{4}{5}\) cup of raisins in it. Hector estimates that they made about 3 cups of trail mix. Is the estimate greater than or less than the actual sum? How do you know? (A) The estimate is greater because each fraction is rounded up to a benchmark. (B) The estimate is less because each fraction is rounded down to a benchmark. (C) The estimate is greater because they really made more than 3 cups. (D) The estimate is less because each fraction is rounded up to a benchmark. Answer: A Explanation: \(\frac{2}{3}\) + \(\frac{7}{8}\) + \(\frac{4}{5}\) rounded to the nearest benchmarks \(\frac{3}{3}\) + \(\frac{8}{8}\) + \(\frac{5}{5}\) = 3 Evaluated Reasonableness Hector and Veronica are going hiking. They made a trail mix that has \(\frac{2}{3}\) cup of almonds, ” \(\frac{7}{8}\) cup of peanuts, and \(\frac{4}{5}\) cup of raisins in it. Hector estimates that they made about 3 cups of trail mix.
Lesson 5.3 Go Math 5th Grade Answer Key Question 12. Multi-Step Amanda picked \(\frac{3}{5}\) pound of blueberries at her local farm yesterday. She used \(\frac{3}{8}\) pound of blueberries. Today she picked \(\frac{4}{5}\) pound of blueberries. About how many pounds of blueberries does Amanda have now? (A) \(\frac{1}{5}\)lb (B) 1 lb (C) \(\frac{1}{2}\)lb (D) 1\(\frac{1}{2}\)lbs Answer: B Explanation: what she bought is that she used yesterday in today marked to nearest benchmarks \(\frac{4}{5}\) is \(\frac{5}{5}\) that is 1
Texas Test Prep
Question 13. Jake added \(\frac{1}{8}\) cup of sunflower seeds and \(\frac{4}{5}\) cup of banana chips to his sundae. Which is the best estimate of the total amount of toppings Jake added to his sundae? (A) about 2 cups (B) about 1 cup (C) about 1\(\frac{1}{2}\) cups (D) about \(\frac{1}{2}\) cup Answer: B Explanation: Jake added \(\frac{1}{8}\) cup of sunflower seeds and \(\frac{4}{5}\) cup of banana chips to his sundae. The best estimate of the total amount of toppings Jake added to his sundae is 1 cup
Texas Go Math Grade 5 Lesson 5.3 Homework and Practice Answer Key
Question 1. \(\frac{3}{8}\) + \(\frac{4}{5}\) = ___________ Answer: \(\frac{3}{8}\) + \(\frac{4}{5}\) rounded to the nearest benchmarks \(\frac{4}{8}\) + \(\frac{5}{5}\) = 1 \(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
5th Grade Go Math Lesson 5.3 Answer Key Question 2. \(\frac{9}{10}\) – \(\frac{3}{8}\) = ___________ Answer: \(\frac{9}{10}\) – \(\frac{3}{8}\) rounded to the nearest benchmarks \(\frac{10}{10}\) – \(\frac{4}{8}\) = \(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 3. \(\frac{5}{8}\) + \(\frac{2}{5}\) = ___________ Answer: \(\frac{5}{8}\) + \(\frac{2}{5}\) rounded to the nearest benchmarks \(\frac{4}{8}\) + \(\frac{2}{5}\) = 1 Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 4. \(\frac{6}{7}\) + \(\frac{3}{5}\) = ___________ Answer: \(\frac{6}{7}\) + \(\frac{3}{5}\) rounded to the nearest benchmarks \(\frac{7}{7}\) + \(\frac{2}{5}\) = 1\(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 5. \(\frac{3}{8}\) – \(\frac{1}{6}\) = ___________ Answer: \(\frac{3}{8}\) – \(\frac{1}{6}\) rounded to the nearest benchmarks \(\frac{4}{8}\) – \(\frac{0}{6}\) = \(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 6. \(\frac{7}{12}\) + \(\frac{1}{7}\) = ___________ Answer: \(\frac{7}{12}\) + \(\frac{1}{7}\) rounded to the nearest benchmarks \(\frac{6}{12}\) + \(\frac{0}{7}\) = \(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Go Math Lesson 5.3 5th Grade Homework Answer Key Question 7. \(\frac{4}{9}\) – \(\frac{5}{8}\) = ___________ Answer: \(\frac{4}{9}\) – \(\frac{5}{8}\) rounded to the nearest benchmarks \(\frac{5}{9}\) – \(\frac{4}{8}\) = 0 Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 8. \(\frac{1}{9}\) + \(\frac{5}{6}\) = ___________ Answer: \(\frac{1}{9}\) + \(\frac{5}{6}\) rounded to the nearest benchmark \(\frac{0}{9}\) + \(\frac{6}{6}\) = 1 Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 9. \(\frac{7}{8}\) + \(\frac{4}{7}\) = ___________ Answer: \(\frac{7}{8}\) + \(\frac{4}{7}\) rounded to the nearest bench mark \(\frac{8}{8}\) + \(\frac{4}{7}\) =1\(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 10. \(\frac{1}{5}\) + \(\frac{3}{8}\) = ___________ Answer: \(\frac{1}{5}\) + \(\frac{3}{8}\) rounded to the nearest benchmark \(\frac{0}{5}\) + \(\frac{4}{8}\) = \(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 11. \(\frac{7}{9}\) – \(\frac{2}{6}\) = ___________ Answer: \(\frac{7}{9}\) – \(\frac{2}{6}\) rounded to the nearest benchmark \(\frac{9}{9}\) – \(\frac{3}{6}\) = \(\frac{1}{2}\) Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Go Math Grade 5 Lesson 5.3 Homework Answer Key Question 12. \(\frac{9}{10}\) – \(\frac{7}{8}\) = ___________ Answer: \(\frac{9}{10}\) – \(\frac{7}{8}\) rounded to the benchmarks \(\frac{10}{10}\) – \(\frac{8}{8}\) = 0 Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 13. Explain how you can estimate the sum of \(\frac{4}{5}\) and \(\frac{1}{6}\). Answer: \(\frac{4}{5}\) + \(\frac{1}{6}\) rounded to the nearest bench marks \(\frac{5}{5}\) + \(\frac{0}{6}\) = 1 Explanation: used benchmarks to find reasonable estimates by rounding fractions to 0, \(\frac{1}{2}\), or 1.
Question 14. Jena uses \(\frac{7}{8}\) cup of raisins for muffins and \(\frac{5}{8}\) cup of raisins for a bowl of oatmeal. Does lena need more than or less than 1 cup of raisins to make muffins and oatmeal? Explain. Answer: more than 1 cup of raisins Explanation: Jena uses \(\frac{7}{8}\) cup of raisins for muffins and \(\frac{5}{8}\) cup of raisins for a bowl of oatmeal. \(\frac{7}{8}\) + \(\frac{5}{8}\) rounded the benhmark \(\frac{8}{8}\) + \(\frac{4}{8}\) = 1\(\frac{1}{2}\)
Question 15. A group of students ate \(\frac{5}{12}\) of a cheese pizza, \(\frac{7}{8}\) of a pepperoni pizza, and \(\frac{5}{8}\) of a veggie pizza. About how many pizzas were eaten? Answer: \(\frac{5}{12}\) + \(\frac{7}{8}\) + \(\frac{5}{8}\) rounded to the nearest benchmark \(\frac{6}{12}\) + \(\frac{8}{8}\) + \(\frac{4}{8}\) = 2 Explanation: A group of students ate \(\frac{5}{12}\) of a cheese pizza, \(\frac{7}{8}\) of a pepperoni pizza, and \(\frac{5}{8}\) of a veggie pizza. 2 pizzas were eaten in whole.
Lesson Check
Question 16. On Saturday, the scouts hiked \(\frac{4}{5}\) mile up the mountain. On Sunday, they hiked \(\frac{1}{4}\) mile up the mountain. About how far did the scouts hike up the mountain in all? (A) \(\frac{1}{2}\) mile (B) 1 mile (C) 1\(\frac{1}{2}\) miles (D) 2 miles Answer: \(\frac{4}{5}\) + \(\frac{1}{4}\) rounded to nearest benchmark \(\frac{5}{5}\) + \(\frac{0}{4}\) is 1 mile Explanation: On Saturday, the scouts hiked \(\frac{4}{5}\) mile up the mountain. On Sunday, they hiked \(\frac{1}{4}\) mile up the mountain. 1 mile far the scouts hike up the mountain in all
Question 17. Which of the following best describes the difference for \(\frac{11}{12}\) – \(\frac{7}{10}\) ? (A) less than \(\frac{1}{2}\) (B) greater than \(\frac{1}{2}\) (C) greater than 1 (D) greater than 1\(\frac{1}{2}\) Answer: A Explanation: \(\frac{11}{12}\) – \(\frac{7}{10}\) is 0 that is less than \(\frac{1}{2}\)
Practice and Homework Lesson 5.3 Answer Key 5th Grade Question 18. Which sum is greatest? Use estimation to decide. (A) \(\frac{2}{7}\) + \(\frac{3}{8}\) (B) \(\frac{1}{10}\) + \(\frac{3}{8}\) (C) \(\frac{1}{6}\) + \(\frac{1}{8}\) (D) \(\frac{2}{9}\) + \(\frac{1}{8}\) Answer: A Explanation: \(\frac{2}{7}\) + \(\frac{3}{8}\) = 1
Question 20. Multi-Step Michaela has \(\frac{11}{12}\) yard of orange fabric and \(\frac{7}{8}\) yard of green fabric. She uses \(\frac{1}{2}\) yard of each color for her sewing project. About how much fabric does Michaela have left if she combines the two colors? (A) 1 yard (B) \(\frac{1}{2}\) yard (C) 1 \(\frac{1}{2}\) yards (D) 2 yards Answer: D \(\frac{11}{12}\) + \(\frac{7}{8}\) rounded to nearest bench marks \(\frac{12}{12}\) + \(\frac{8}{8}\) = 2 Explanation: 2 yards fabric uses Michaela have left if she combines the two colors.
Question 21. Multi-Step Dustin buys \(\frac{9}{10}\) yard of striped fabric. He uses \(\frac{3}{8}\) yard. He buys \(\frac{7}{8}\) yard more. About how much fabric does Dustin have now? (A) 1 yard (B) \(\frac{1}{2}\) yard (C) 1\(\frac{1}{2}\) yards (D) 2 yards Answer: C Explanation: Dustin buys \(\frac{9}{10}\) yard of striped fabric. He uses \(\frac{3}{8}\) yard. He buys \(\frac{7}{8}\) yard more. \(\frac{9}{10}\) + \(\frac{3}{8}\) + \(\frac{7}{8}\) rounded to nearest benchmarks \(\frac{10}{10}\) – \(\frac{4}{8}\) + \(\frac{8}{8}\) = 1\(\frac{1}{2}\) yards
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520 when its numerator and denominator is divided by 5 we get 14. Question 7. 48 = 12 14. Answer: 48 = 12. Explanation : 48 when its numerator and denominator is divided by 4 we get 12. Question 8. 412 = 12 13.
Solve two step word problems, fractions, common denominator, tape diagrams, simplest form, common core, help teachers, help parents, help students
EngageNY/Eureka Math Grade 3 Module 5 Lesson 7For more videos, answer keys, and other resources, please visit http://EMBARC.onlinePLEASE leave a message if a...
Engage NY // Eureka Math Grade 5 Module 3 Lesson 7 Homework
Module 3: Addition and Subtraction of Fractions 1 Lesson 1 Answer Key 5• 3 Lesson 1 Sprint Side A 1. 2 12. 2 23. 4 34. 7 2. 5 13. 2 24. 7 35. 4 3. 2 14. 2 25. 7 36.
Go Math! Practice Book (TE), G5. Name Fraction and Whole Number Multiplication Find the product. Write the product in simplest form. 2. Lesson 7.3 COMMON CORE STANDARD CC5.NF.4a Apply and extend previous understandings of multiplication and division to multiply and divide fractions. — or 33ž 27 or 2— —x 9=10' 10 10 3. 6.
5.3 Practice - Answer Key - Free download as PDF File (.pdf) or read online for free. Geometry Problems.
Chapter 5 Homework Solutions. 5.1-5.3 Extra Practice Worksheet. 5.1 Ratios and Rates . 5.1 Lesson Preso ... 5.2 Proportions . 5.2 Lesson. 5.2 Textbook Exercises page 174 . Ba: 1-4, 5-13 odd, 21-27 odd; Avg 1-4, 5-13 odd, 22-30 even; Adv: 1-4, 6-14 even, 22-32 even. 5.3 Writing Proportions. 5.3 Lesson Preso ... 7-17 odd, 18, 19-25 odd. Avg: 1-3 ...
Lesson Check (CC.5.NBT.7) 1. Tina divides 21.4 ounces of trail mix equally into 5 bags. How many ounces of trail mix are in each bag? @ 0.428 ounce 4.28 ounces 42.8 ounces 428 ounces Spiral Review (CC.5.NBT.2, CC.5.NBT.6, CC.5.NBT.7) 3. Suzy buys 35 pounds of rice. She divides it equally into 100 bags. How many pounds of rice does Suzy put in ...
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Problem Solving . Title: Go Math! Practice Book (TE), G5 Created Date: 3/29/2016 4:07:11 PM
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Regina has two electronic files. One has a size of 3.15 MB and the other has a size of 4.89 MB. What is the best estimate of the total size of the two electronic files? 2. Madison is training for a marathon. Her goal is to run 26.2 miles a day. She currently can run 18.5 miles in aday.
Students' daily homework will be required reading of at least 30 minutes. Students will have nightly math homework which supports our learning in class. There are a lot of new math concepts in 5th grade and it is important for students' growth and understanding. Additionally, study guides and other assignments may be sent home periodically ...
Find step-by-step solutions and answers to Algebra 2 - 9780130625687, as well as thousands of textbooks so you can move forward with confidence. ... Section 7.7: Inverse Relations and Functions. Section 7.8: Graphing Radical Functions. Page 415: Chapter Review. Page 418: Chapter Test. Page 419: Standardized Test Prep. Page 828: Extra Practice ...
7.64 < 7. Algebra Find the unknown digit to make each statement true. 1 > 2.463 15. 5.723 < 5.72 < 5.725 5 < 7.68 18. Problem Solving REAL WORLD 17. The completion times for three runners in a 100-yard dash are 9.75 seconds, 9.7 seconds, and 9.675 seconds. Which is the winning time? 9.675 seconds In a discus competition, an athlete
Eureka Math Grade 5 Module 3 Lesson 5 Homework Answer Key. Question 1. The picture below shows of the rectangle shaded. Use the picture to show how to create an equivalent fraction for , and then subtract . Question 2. Find the difference. Use a rectangular fraction model to find common denominators. Simplify your answer, if possible. a.
McGraw Hill Math Grade 8 Lesson 11.3 Answer Key Distributive and Identity Properties; McGraw Hill Math Grade 8 Lesson 11.4 Answer Key Properties of Equality and Zero; McGraw Hill Math Grade 8 Lesson 12.1 Answer Key Negative Numbers; McGraw Hill Math Grade 8 Lesson 13.2 Answer Key Solving Equations with Addition and Subtraction