Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals
Name:___________________________________________________ 1. Write the decimal modeled by each representation below. a.
Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals Date: _________________
c.
_____________________ b.
_____________________ d.
_____________________ 2. Explain why 10 × 0.01 = 0.1. Draw a picture to illustrate your explanation.
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_____________________
Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals 3. The following model represents 0.01:
Use this information to determine what decimal is being represented by each model below: a. ______________________
b. ______________________
c. ______________________
4. Represent the following decimals with a model. Make sure to indicate what each unit represents. a. 0.4 c. 0.400
b. 0.708
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d. 0.006
Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals 5. Netta drew a picture on graph paper:
She said, In my picture, a big square represents 1. Since ten rectangles make a big square, a rectangle represents 0.1. Since 100 little squares make a big square, a little square represents 0.01. So this picture represents 2.43. a. Is Netta correct?
b. Manny said, I drew the same picture, but in my picture, a little square represents 1, so this picture represents 243. Name some other numbers that this picture could represent. For each of these numbers, what does a little square represent? What does a rectangle represent? What does a big square represent? Explain.
c. Draw a picture to represent 0.047.
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Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals SOURCES: 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 3: Which number is it?, accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/1/tasks/1799 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 5: Which number is it?, accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/1/tasks/1799 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 7 Problem Set Grade 5 Unit 1: Place Value with Decimals Date: _________________
c.
_____________________ b.
_____________________ d.
_____________________ 2. Explain why 10 × 0.01 = 0.1. Draw a picture to illustrate your explanation.
© 2017 Match Education
_____________________
Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals 3. The following model represents 0.01:
Use this information to determine what decimal is being represented by each model below: a. ______________________
b. ______________________
c. ______________________
4. Represent the following decimals with a model. Make sure to indicate what each unit represents. a. 0.4 c. 0.400
b. 0.708
© 2017 Match Education
d. 0.006
Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals 5. Netta drew a picture on graph paper:
She said, In my picture, a big square represents 1. Since ten rectangles make a big square, a rectangle represents 0.1. Since 100 little squares make a big square, a little square represents 0.01. So this picture represents 2.43. a. Is Netta correct?
b. Manny said, I drew the same picture, but in my picture, a little square represents 1, so this picture represents 243. Name some other numbers that this picture could represent. For each of these numbers, what does a little square represent? What does a rectangle represent? What does a big square represent? Explain.
c. Draw a picture to represent 0.047.
© 2017 Match Education
Lesson 7 Problem Set Grade 5 Unit 1: Place Value with Decimals SOURCES: 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 3: Which number is it?, accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/1/tasks/1799 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 5: Which number is it?, accessed on September 11, 2017, is made available by Illustrative Mathematics at https://www.illustrativemathematics.org/content-standards/5/NBT/A/1/tasks/1799 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
