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7.3 Dividing by 10, 100 and 1,000

Dividing a decimal by 10, 100, 1,000 and so forth isn’t difficult.  You will discover that every digit’s value changes, moving one or several positions to the right.

27 ÷ 100 = = 0.27

Foto: Fredrik Enander

Here comes an example with decimals in the numerator.


Example A

1.2 ÷ 10

Here it’s really expansion (see 7.2) that we are using. Do you remember that we went through this on page 2.3?

If we extend 1.2 ÷ 10 with ten, we get twelve hundredths which is written 0.12.

1.2 ÷ 10 = = = 0.12


Example B

1.37 ÷ 10

If we extend 1.37 ÷ 10 with one hundred, we get 137 thousandths which can be written 0.137.

1.37 ÷ 10 = = = 0.137


Try to divide different decimals by 10, 100, and 1,000 with your calculator.  What happens with the digit’s value if you divide the number 1,253.7 by 100?

= ?

Here are a few examples:

a. 73.82 ÷ 10 = 7.382
b. 73.82 ÷ 100 = 0.7382
c. 73.82 ÷ 1,000 = 0.07382