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Multiplication of Decimals Help

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By — McGraw-Hill Professional
Updated on Sep 21, 2011

Multiplication of Decimals

To multiply two decimals, multiply the two numbers, disregarding the decimal points, and then count the total number of digits to the right of the decimal points in the two numbers. Count the same number of places from the right in the product and place the decimal point there. If there are fewer digits in the product than places, prefix as many zeros as needed .

Examples

Example 1

Multiply 32.1 × 0.62.

Solution 1

Multiplication of Decimals

Example 2

Multiply 51.3 × 0.0006.

Solution 2

Multiplication of Decimals

Since five places are needed in the answer, it is necessary to use one zero in front of the product.

Multiplication of Decimals Practice Problems

Practice

Multiply:

1. 17.82 × 6.3

2. 321.2 × 2.03

3. 0.003 × 0.06

4. 5.02 × 0.4

5. 723.4 × 0.615

Answers

1. 112.266

2. 652.036

3. 0.00018

4. 2.008

5. 444.891

Practice problems for these concepts can be found at: Decimals Practice Test.

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