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Use estimation and patterns to solve the problems. Use a calculator and multiplication to check your answers.
- 3 ÷ 1 =
- 3 ÷ 0.1 =
- 3 ÷ 0.01 =
- 3 ÷ 0.001 =
- 3 ÷ 0.0001 =
- 10 ÷ 1 =
- 10 ÷ 0.1 =
- 10 ÷ 0.01 =
- 10 ÷ 0.001 =
- 10 ÷ 0.0001 =
- 6 ÷ 2 =
- 6 ÷ 0.2 =
- 6 ÷ 0.02 =
- 6 ÷ 0.002 =
- 6 ÷ 0.0002 =
- 10 ÷ 2 =
- 10 ÷ 0.2 =
- 10 ÷ 0.02 =
- 10 ÷ 0.002 =
- 10 ÷ 0.0002 =
- 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?
- What happens to the quotient when you divide by 0.1, then 0.01, and then 0.001?
- How is this different from when you divided by 10, 100, and 1000? Why?
Model and Divide
- Use base-ten pieces or the tenths grids on the Grids page in the Student Activity Book to model and solve the division problems.
- 3.6 ÷ 0.6 =
- 2.8 ÷ 0.7 =
- 3 ÷ 0.5 =
- 3.2 ÷ 0.4 =
- 2.4 ÷ 0.8 =
- 1.8 ÷ 0.3 =
- 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.”
- Solve 4 ÷ 0.8 Julia's way: 40 tenths ÷ 8 tenths = ?
- 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?