Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals
Name:___________________________________________________
Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals Date: _________________
1. Find the products. a. 4.582 × 10 = __________________ b. 4.582 × 102 = __________________ c. 4.582 × 103 = __________________ d. Explain how and why the value of the 5 changed in (a), (b), and (c).
2. Explain why 2.8 × 105 = 280,000. Draw a picture to illustrate your explanation.
3. Complete the following statements: a. 100 × ________________ = 8.7 b. 45.34 = ________ × 4.534 c. 1,000 × .01 = ________________ d. ________________ = 100 × 69.2 e. 100 × ________________ = 69.2 f.
________________ × 0.6 = 6
g. 0.3 = 1,000 × ________________ h. ________________ = 100 × 4.52 4. What power of 10 makes this expression equal to 760? 0.76 × 10□
© 2017 Match Education
Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals 5. Complete the following statements: a. 10 times as much as ________________ is 8. b. 37.37 is ________ times as much as 3.737. c. 10 times as much as 0.008 is ________________. d. ________________ is 10 times as much as 0.32. e. 10 times as much as ________________ is 6.643. f.
________________ times as much as 0.05 is 0.5.
g. 3.6 is 10 times as much as ________________. h. ________________ is 10 times as much as 423. 6. In the number 64.557, the value of the underlined 5 is ________________ times the value of the 5 to its right.
7. Explain why 0.067 × 102 = 6.7. Draw a picture to illustrate your explanation.
© 2017 Match Education
Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals SOURCES: Problem 1: Question 1 in the Homework from Grade 5 Mathematics > Module 1 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY.org and GreatMinds.org. © 2015 Great Minds. Available from https://www.engageny.org/resource/grade-5-mathematics-module-1-topic-lesson-1 accessed September 11, 2017. Licensed by EngageNY of the New York State Education Department under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. Problem 2: Multiplying Decimals by 10 accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/2/tasks/1620 and is licensed under either the Creative Commons Attribution 4.0 International License or the Creative Commons AttributionNonCommercial-ShareAlike 4.0 International License. For further information, contact Illustrative Mathematics. [Modified by [Match Education].] Problem 4: Task Model 1 for 5.NBT.A.2 in Grade 5 Mathematics Item Specification C1 TC, accessed September 11, 2017, is made available by Smarter Balanced Assessment Consortium at http://www.smarterbalanced.org/assessments/development/. © The Regents of the University of California – Smarter Balanced Assessment Consortium. [Modified by [Match Education].] Problem 6: Question 3 in Math Spring Operational 2015 Grade 4 End of Year Released Items, accessed September 11, 2017, is made available by the Partnership for Assessment of Readiness for College and Careers (PARCC) at http://parcc-assessment.org/released-items. © 2017. [Modified by [Match Education].] Problem 7: Multiplying Decimals by 10 accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/2/tasks/1620 and is licensed under either the Creative Commons Attribution 4.0 International License or the Creative Commons AttributionNonCommercial-ShareAlike 4.0 International License. For further information, contact Illustrative Mathematics. [Modified by [Match Education].]
© 2017 Match Education
Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals Date: _________________
1. Find the products. a. 4.582 × 10 = __________________ b. 4.582 × 102 = __________________ c. 4.582 × 103 = __________________ d. Explain how and why the value of the 5 changed in (a), (b), and (c).
2. Explain why 2.8 × 105 = 280,000. Draw a picture to illustrate your explanation.
3. Complete the following statements: a. 100 × ________________ = 8.7 b. 45.34 = ________ × 4.534 c. 1,000 × .01 = ________________ d. ________________ = 100 × 69.2 e. 100 × ________________ = 69.2 f.
________________ × 0.6 = 6
g. 0.3 = 1,000 × ________________ h. ________________ = 100 × 4.52 4. What power of 10 makes this expression equal to 760? 0.76 × 10□
© 2017 Match Education
Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals 5. Complete the following statements: a. 10 times as much as ________________ is 8. b. 37.37 is ________ times as much as 3.737. c. 10 times as much as 0.008 is ________________. d. ________________ is 10 times as much as 0.32. e. 10 times as much as ________________ is 6.643. f.
________________ times as much as 0.05 is 0.5.
g. 3.6 is 10 times as much as ________________. h. ________________ is 10 times as much as 423. 6. In the number 64.557, the value of the underlined 5 is ________________ times the value of the 5 to its right.
7. Explain why 0.067 × 102 = 6.7. Draw a picture to illustrate your explanation.
© 2017 Match Education
Lesson 8 Homework Grade 5 Unit 1: Place Value with Decimals SOURCES: Problem 1: Question 1 in the Homework from Grade 5 Mathematics > Module 1 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY.org and GreatMinds.org. © 2015 Great Minds. Available from https://www.engageny.org/resource/grade-5-mathematics-module-1-topic-lesson-1 accessed September 11, 2017. Licensed by EngageNY of the New York State Education Department under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. Problem 2: Multiplying Decimals by 10 accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/2/tasks/1620 and is licensed under either the Creative Commons Attribution 4.0 International License or the Creative Commons AttributionNonCommercial-ShareAlike 4.0 International License. For further information, contact Illustrative Mathematics. [Modified by [Match Education].] Problem 4: Task Model 1 for 5.NBT.A.2 in Grade 5 Mathematics Item Specification C1 TC, accessed September 11, 2017, is made available by Smarter Balanced Assessment Consortium at http://www.smarterbalanced.org/assessments/development/. © The Regents of the University of California – Smarter Balanced Assessment Consortium. [Modified by [Match Education].] Problem 6: Question 3 in Math Spring Operational 2015 Grade 4 End of Year Released Items, accessed September 11, 2017, is made available by the Partnership for Assessment of Readiness for College and Careers (PARCC) at http://parcc-assessment.org/released-items. © 2017. [Modified by [Match Education].] Problem 7: Multiplying Decimals by 10 accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/2/tasks/1620 and is licensed under either the Creative Commons Attribution 4.0 International License or the Creative Commons AttributionNonCommercial-ShareAlike 4.0 International License. For further information, contact Illustrative Mathematics. [Modified by [Match Education].]
© 2017 Match Education
