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Multiplying Decimals

Multiplying decimal numbers top left imageMultiplying decimal numbers top right image
HomeEveryday MathematicsDecimals and Place Value

Math methods for multiplying decimals are similar to multiplication of integers. The difference is that decimal multiplication has the decimal point. After multiplying the numbers and writing the answer, count the number of digits to the right of the decimal point for all numbers that have been multiplied together. The decimal point is always positioned this number of digits from the right-most digit of the answer.

23.65

× 5.43

128.4195

There are 4 digits to the right of the decimal point. They are 6, 5, 4 and 3.

47.39

× 16.742

793.40338

There are 5 digits to the right of the decimal point. They are 3, 9, 7, 4 and 2.

12.309

× 6.742

82.987278

There are 6 digits to the right of the decimal point. They are 3, 0, 9, 7, 4 and 2.

13.230

× 5.74

70.2002

Decimal positions that are zeros on the far right of multiplied numbers are not counted.

There are 4 digits to the right of the decimal point. They are 2, 3, 7 and 4.

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