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- Use base-ten pieces or the hundredths grids on the Grids page in the Student Activity Book to model and solve the division problems.
- 0.2 ÷ 0.05 =
- 0.9 ÷ 0.03 =
- 0.16 ÷ 0.04 =
- 0.28 ÷ 0.07 =
- 1.2 ÷ 0.04 =
- 0.21 ÷ 0.03 =
- Chris said, “It's hard for me to picture 0.21 ÷ 0.03. It is easier to think about whole numbers when I divide. How can I move the decimal point to make 0.21 change to 21?
- Try this:
- Model and solve 6 ÷ 0.2. What is the quotient?
- Multiply both the divisor and dividend in 6 ÷ 0.2 by 10. Solve (6 10) ÷ (0.2 10). What is the quotient?
- Compare your answers in Questions A and B. Does multiplying the divisor and dividend by 10 change the quotient?
- Multiply both the divisor and dividend in 6 ÷ 0.2 by 100. Solve (6 100) ÷ (0.2 100). Compare the quotient to your answers in Questions A and B. What do you notice?
If I multiply 0.21 by 100 it moves the decimal point two places to the right.
0.21 100 = 21
To keep the problem the same, I will multiply 0.03 by 100, too.
0.03 100 = 3
Now the problem becomes 21 ÷ 3 = 7.”
How does your quotient in Question 18F
compare to Chris's answer?