Multiplying and Dividing Decimals by 10, 100, 1000

Answer the following questions in complete sentences. Think about multiplying. What is true about the product (answer)? How does it compare to the numbers that you are multiplying together? Give an example. Think about dividing. What is true about the quotient? How does it compare to the dividend and the divisor? Give an example

The Basics of Multiplying: 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.

Move the decimal to the right: two spaces Ex 1) 1.492 x 100 Move the decimal to the right: two spaces 149.2

Ex 2)15.36 x 1,000 Move the decimal point to the right: three spaces Add a zero for the third space. 15,360

The Basics of Dividing: When you divide by 10, 100, or 1,000, you can move the decimal point to the left. Move the decimal point once for each zero you are dividing by.

Ex 3) 2,124.94 ÷ 1,000 Move the decimal to the left: three spaces 2.12494

Move the decimal to the left: two spaces Ex 4) 4.2 ÷ 100 Move the decimal to the left: two spaces Add a zero for the second space. .042