# Section D: Practice Problems Divide Decimals

## Section Summary

Details

In this section we learned to divide with decimals. We studied different ways to find a quotient like . We can draw a diagram which shows that there are 10 groups of 0.1 in each whole so there are or 30 groups of 0.1 in 3 wholes: .

We can also think about place value. We know 3 is 30 tenths and 0.1 is 1 tenth, so is equivalent to which has the value 30. We also can use multiplication to find the value of . We know that and so this also shows that .

## Problem 1 (Lesson 22)

1. Find the value of . Use the diagram if it is helpful.

2. Jada says that there are 100 hundredths in 1 so is 100. Do you agree with Jada? Show or explain your reasoning.

## Problem 2 (Lesson 23)

1. Find the value of . Use the diagram if it is helpful.

2. Find the value of .

## Problem 3 (Lesson 23)

Here is a diagram.

1. Explain or show how the diagram shows . What is the value of the expression?

2. Explain or show how the diagram shows . What is the value of the expression?

## Problem 4 (Lesson 24)

Find the value of each expression. Explain or show your reasoning.

1. . Use the diagram if it is helpful.

## Problem 5 (Lesson 25)

Find the value of each expression. Explain or show your reasoning.

## Problem 6 (Exploration)

Noah has a scale that weighs to the nearest ounce. The table shows the weights of different numbers of paper clips in ounces.

paper clips

weight

How many ounces do you think each paper clip weighs? Explain or show your reasoning.

## Problem 7 (Exploration)

The daily recommended allowance of vitamin C for a 5th grader is 0.05 grams.

1. A vitamin C tablet has 1 gram of vitamin C. How many times the daily recommended allowance of vitamin C is one vitamin C tablet? Use the diagram if it is helpful.

2. A large orange has 0.18 grams of vitamin C. How many times the daily recommended allowance of vitamin C is in a large orange? Use the diagram if it is helpful.