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19 November, 12:51

Use the calculator to find the product. (1.466 * 10-8) (5.02 * 105) What is the coefficient of the product? What is the exponent of the power in the product?

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Answers (2)
  1. 19 November, 13:10
    0
    Step-by-step explanation:

    The calculator says that the answer is 7.36 * 10^-3.

    This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.

    Coefficient: 7.36

    Exponent: - 3

    Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3
  2. 19 November, 13:18
    0
    7.56932 * 10^-3

    The coefficient is 7.35932

    The exponent is - 3

    Step-by-step explanation:

    When we multiply numbers in scientific notation, we take the numbers out front and multiply

    1.466*5.02 = 7.56932

    Then we add the exponents on the powers of 10

    10^ (-8+5) = 10^ (-3)

    The result is 7.56932 * 10^-3

    Using a calculator, we get 0.00735932, which is not in scientific notation. Your question indicates that you want the result in scientific notation

    .00735932 changed to scientific notation

    Move the decimal until a nonzero digit is to the left of the decimal

    7.35932

    We moved it 3 places to the left, that means our exponent is - 3

    7.35932*10^-3
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