Priya is sharing 24 apples equally with some friends. She uses division to find out how many people can have a share if each person gets a particular number of apples. For example, means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:

1. Priya thinks the “?” represents a number less than 24. Do you agree? Explain or show your reasoning.

2. The value of  tells us how many people can enjoy the apples that Jada has if each person gets half an apple. What is that value?

Here is a centimeter ruler.

1. Use the ruler to find and .

2. What calculation did you do each time?

3. Use this pattern to find .

4. Explain how you could find and .

A portion of a ruler with the top labeled inches and the bottom of the ruler labeled centimeters. The top of the ruler has the numbers 1 and 2 indicated. There are 15 evenly spaced tick marks between the beginning of the ruler and 1 and between 1 and 2. The bottom of the ruler has the numbers 1 through 5 indicated. There are 9 evenly spaced tick marks between the beginning of the ruler and 1, 1 and 2, 2 and 3, 3 and 4, and 4 and 5.

Find each quotient.

Use the fact that to find . Explain or show your reasoning.

Consider the problem: It takes one week for a crew of workers to pave kilometer of a road. At that rate, how long will it take to pave 1 kilometer?

Write a multiplication equation and a division equation to represent the question. Then find the answer and show your reasoning.

A box contains pounds of baking soda. Jada used pound for a science project. What fraction of the baking soda in the box did she use? Explain or show your reasoning. Draw a diagram if you find it helpful.

Calculate each percentage mentally.

1. 25% of 400
2. 50% of 90
3. 75% of 200
4. 10% of 8,000
5. 5% of 20