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Math Help - decimal problem

  1. #1
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    decimal problem

    Suppose you multiply a decimal number that has 2 digits to the right of its decimal point by a decimal number that has 4 digits to the right of its decimal point. Explain why you put the decimal point 2+4 places from the end of the product calcualted without the decimal points.

    Problem solving please help this is from a book.
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  2. #2
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    Quote Originally Posted by recca View Post
    Suppose you multiply a decimal number that has 2 digits to the right of its decimal point by a decimal number that has 4 digits to the right of its decimal point. Explain why you put the decimal point 2+4 places from the end of the product calcualted without the decimal points.

    Problem solving please help this is from a book.
    The lowest power of 10 column is 10^-2 when there are 2 decimal points

    ...and 10^-4 when there are 4 decimal points.

    a^b * a^c = a^(b+c)...

    ...so 10^-2 * 10^-4 = 10^-6, which would mean there are 6 decimal points.
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