Multiplying and Dividing Decimals by 10, 100,

and 1,000

Multiplying and Dividing Decimals by 10, 100,

and 1,000

Multiplying and Dividing Decimals by 0.1, 0.01, and 0.001

Multiplying and Dividing Decimals by 0.1, 0.01, and 0.001

The Basics: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.

• 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 1001.492 x 100Move the decimal to the right: two spaces.

149.2149.2

15.36 x 1,00015.36 x 1,000

Move the decimal point to the right: three spaces. Add a zero for the third space.

15,36015,360

4.2 x 0.014.2 x 0.01Move 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

4.2 becomes 0.042

48 x 0.148 x 0.1Move the decimal point to the left: one space.

4.84.8

2,124.94 x 0.0012,124.94 x 0.001Move the decimal to the left: three spaces.

2.12494

Now, make and answer your own set like the set below.

Now, make and answer your own set like the set below.

2.48 x 1000

2.48 x 100

2.48 x 10

2.48 x 1

2.48 x 0.1

2.48 x 0.01