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K-5 Grade 5 Unit 5

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Section C Practice

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Unit 5, Section C

Multiply Decimals

Grade 5

Practice

Problem 1

ForLesson 17: Multiply Decimals and Whole Numbers

Diagram, square. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

Diagram, square. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

Shade the first diagram to represent .
What is the value of ? Explain or show your reasoning.
What is the value of ? Use the second diagram if it is helpful.

Problem 2

ForLesson 18: Use Whole Number Facts

Mai says that and have the same value of 28. Do you agree? Explain or show your reasoning.
Explain why .

Problem 3

ForLesson 19: Use Properties to Multiply Decimals

Explain why each expression has the same value as .
Find the value of using one of the expressions or your own strategy.

Problem 4

ForLesson 20: Products in the Hundredths Place

Shade the diagram to represent .

What is the value of ?

Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

Problem 5

ForLesson 21: Multiply More Decimals

Explain or show why .
Use this strategy to calculate .

Problem 6

Exploration

Diego finds the value of . He says, "I know , so I just find and then divide by 100."

Explain or show why Diego's method works.
Use his method to find the value of .

Problem 7

Exploration

Han says the diagram shows . Label the diagram to show Han's reasoning.
Mai says it shows . Label the diagram to show Mai's reasoning.
What other products can the diagram represent? Explain or show your reasoning.

to access Section Practice Problem Set.