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MULTIPLYING BY NUMBERS ENDING IN ZEROS

MULTIPLYING BY NUMBERS ENDING IN ZEROS

Numbers ending in zeros may be thought of as the product of the nonzero part multiplied by a power of 10. For example, 37,000 is really 37 x 1,000. Since multiplying by zero results in zero, multiplying by numbers ending in zeros may be shortened by ignoring the zeros and then affixing required amount after the nonzero part has been multiplied.

Rule: Multiply the two numbers as if they did not end m zeros. Then affix an amount of zeros equal to the sum of all the zeros ignored in the multiplication.

A simple case will be chosen. Let us find the product of

37,000 X 6,000,000

By ignoring the zeros, we have

37 X 6

Using Shortcut 12, we find 37 x 6 = 222. A total of nine zeros was ignored before the multiplication; therefore nine zeros are aff1xed to the product.

222,000,000,000 Answer

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