We can think of \(8 \div 2 = ?\) as asking: “How many 2s are in 8?” or “What is in each group if there are 2 groups in 8?”

Interpret each equation. Write a question to represent your interpretation, and answer the question using a complete sentence.

1. \(8 \div 3 = {?}\)
2. \(8 \div \frac 13 = {?}\)

Which question can be represented by the equation \({?}\boldcdot \frac18=3\)?

A shopper buys cat food in bags of 3 lb. His cat eats \(\frac{3}{4}\) lb each week. How many weeks does one bag last?

1. Draw a diagram to represent the situation, and label your diagram so it can be followed by others. Answer the question.
2. Write a multiplication or division equation to represent the situation.
3. Multiply your answer in the first question (the number of weeks) by \(\frac{3}{4}\). Did you get 3 as a result? If not, revise your previous work.

Noah and his friends won a prize of \$100 in a contest. The 8 students are sharing the prize money equally.

Is Noah’s share of the prize money enough to buy a book that costs \$11.99? Explain your reasoning.

Write a division expression with a quotient that is:

1. greater than \(8 \div 0.001\)

2. less than \(8 \div 0.001\)

3. between \(8 \div 0.001\) and \(8 \div \frac{1}{10}\)

Find each unknown number.

1. 12 is 150% of what number?

2. 5 is 50% of what number?

3. 10% of what number is 300?

4. 5% of what number is 72?

5. 20 is 80% of what number?