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When multiplying one decimal by another decimal, the result will always have a larger number of digits to the right of the decimal point than either of the two factors. The number of digits to the right is the total of the digits for the two factors.

Example:

.25 x .3 = .075 (two digits plus one = three)

You can make this clearer by putting all three in one of the numbers to start,

making one of the factors a whole number.

.25 x .3 = .025 x 3 = .075

Example:

.02 x .03 = .0006 (the product is 6, the number of places is 4)

In fraction form, this would be

2/100 x 3/100 = 6/10000

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Q: How is multiplying a decimal by a decimal different from multiplying a decimal by a whole number?
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