Multiplying and Dividing Decimals

Front

What is a decimal?

Back

A decimal is a number that includes a decimal point, which separates the whole number part from the fractional part. For example, 3.14 is a decimal.

Front

How do you multiply a decimal by a whole number?

Back

To multiply a decimal by a whole number, multiply as if there were no decimal point, then place the decimal point in the product based on the number of decimal places in the original decimal.

Front

What is the rule for multiplying decimals?

Back

When multiplying decimals, count the total number of decimal places in both numbers being multiplied. The product should have the same number of decimal places.

Front

Example: Multiply 0.6 by 3. What is the product?

Back

0.6 x 3 = 1.8.

Front

How do you divide a decimal by a whole number?

Back

To divide a decimal by a whole number, divide as if there were no decimal point, then place the decimal point in the quotient directly above where it appears in the dividend.

Front

What is the rule for dividing decimals?

Back

When dividing decimals, if the divisor (the number you are dividing by) is a decimal, convert it to a whole number by moving the decimal point to the right, and move the decimal point in the dividend the same number of places.

Front

Example: Divide 4.5 by 1.5. What is the quotient?

Back

4.5 ÷ 1.5 = 3.

Front

What is the difference between multiplying and dividing decimals?

Back

Multiplying decimals increases the value, while dividing decimals decreases the value.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 1/4 = 0.25.

Front

Example: Convert 3/10 to a decimal. What is the decimal?

Back

3/10 = 0.3.