 # Multiplying and Dividing Decimals by 10, 100, and 1,000

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Multiplying and Dividing Decimals by 10, 100, and 1,000

The Basics: When you multiply by 10, 100, or 1,000, you can move the decimal point to the right. The number of decimal places you move is the same as the number of zeroes you are multiplying by. When you multiply by 0.1, 0.01, or 0.001, you can move the decimal point to the left. Move the decimal point once for each decimal place you are multiplying by.

12 x 1 12 x 10 12 x 100 12 x 1000

12.2 x 1 12.2 x 10 12.2 x 100 12.2 x 1000

1.492 x 100 Move the decimal to the right: two spaces. 149.2

15.36 x 1,000 Move the decimal point to the right: three spaces. Add a zero for the third space. 15,360

4.2 x 0.01 Move the decimal point to the left: two spaces. Add a zero for the second space. Put a zero before the decimal. 4.2 becomes 0.042

48 x 0.1 Move the decimal point to the left: one space. 4.8

2, x 0.001 Move the decimal to the left: three spaces.