# Section C: Practice Problems Multiply Decimals

## Section Summary

Details

In this section, we learned to use place value relationships to multiply a whole number and and a decimal. For example,

because 6 groups of 14 hundredths is or 84 hundredths.

We also found products like . We can use a diagram to see that this is hundredths or .

## Problem 1 (Lesson 17)

2. What is the value of ? Explain or show your reasoning.

3. What is the value of ? Use the diagram if it is helpful.

## Problem 2 (Lesson 18)

1. Mai says that and both have the same value. She says that they are both 28. Do you agree with Mai? Explain or show your reasoning.

2. Explain why .

## Problem 3 (Lesson 19)

1. Explain why each expression is equivalent to .

2. Find the value of using one of the expressions or your own strategy.

## Problem 4 (Lesson 20)

1. Shade the diagram to represent .

2. What is the value of ?

## Problem 5 (Lesson 21)

1. Explain or show why .

2. Use this strategy to calculate .

## Problem 6 (Exploration)

Here is Diego’s strategy to find the value of . I know so I just find and then divide by 100.

1. Explain or show why Diego’s method works.

2. Use Diego’s method to find the value of  .

## Problem 7 (Exploration)

1. Han says the picture shows . Label the diagram to show Han’s thinking.