Unit 8 Contents

Use estimation and patterns to solve the problems. Use a calculator and multiplication to check your answers.

1. 10 ÷ 1 =
2. 10 ÷ 0.1 =
3. 10 ÷ 0.01 =
4. 10 ÷ 0.001 =
5. 10 ÷ 0.0001 =

1. 10 ÷ 2 =
2. 10 ÷ 0.2 =
3. 10 ÷ 0.02 =
4. 10 ÷ 0.002 =
5. 10 ÷ 0.0002 =

14. Can you predict the quotient when you divide a whole number by a decimal less than 1? Will it be more or less than the dividend?
1. What happens to the quotient when you divide by 0.1, then 0.01, and then 0.001?
2. How is this different from when you divided by 10, 100, and 1000? Why?

Model and Divide

Jason used tenths grids to model 1.2 ÷ 0.3.

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16. Use base-ten pieces or the tenths grids on the Grids page in the Student Activity Book to model and solve the division problems.
1. 3.6 ÷ 0.6 =
2. 2.8 ÷ 0.7 =
3. 3 ÷ 0.5 =
4. 3.2 ÷ 0.4 =
5. 2.4 ÷ 0.8 =
6. 1.8 ÷ 0.3 =
17. Julia said, “I know 4 is the same as 40 tenths. It's easier for me to think of 4 ÷ 0.8 as 40 tenths divided by 8 tenths. Then I just think about the fact 40 ÷ 8.”
1. Solve 4 ÷ 0.8 Julia's way: 40 tenths ÷ 8 tenths = ?
2. Use base-ten pieces or grids to solve 4 ÷ 0.8. Compare this quotient to your answer in Question A. Does Julia's strategy work?