Math

Jamie used a microscope to measure the diameter of a hair. She found that the diameter of the hair was 0.000072 meter. How is this number written in scientific notation?

I know the answer is 7.2 times 10 exponent -5 but can someone tell me the steps please?

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  1. start with 7.2

    Since 10^0, that is just

    7.2x10^0
    Now, lowering the power of 10 moves the decimal place to the left, so

    7.2x10^0 = 7.2
    7.2x10^-1 = 0.72
    7.2x10^-2 = 0.072
    and so on

    The number of leading zeroes after the decimal point is 1 less than the negative power of 10.

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  2. Thanks!

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