Multiply Decimals

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What is a decimal?

Back

A decimal is a fraction whose denominator is a power of ten, represented with a dot (decimal point) separating the whole number from the fractional part.

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How do you multiply decimals?

Back

To multiply decimals, multiply the numbers as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the product accordingly.

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How do you determine the location of the decimal point in a product?

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Count the total number of decimal places in the factors. The decimal point in the product is placed so that there are that many decimal places.

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What is the rule for adding decimals?

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Align the decimal points and add as you would with whole numbers, placing the decimal point in the sum directly below the other decimal points.

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What happens to the decimal point when multiplying a decimal by a whole number?

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The decimal point remains in the same position relative to the whole number; only the decimal number is multiplied.