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Multiply. (2.4 × 10^{-2})(9.75 × 10^{-1}) What is the result?

Multiply. (2.4 × 10^{-2})(9.75 × 10^{-1})
2.34 × 10^{-5}
2.34 × 10^{3}
2.34 × 10^{-2}
2.34 × 10^{-4}




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1 Answer

  1. To multiply the numbers in scientific notation, you can follow these steps:

    1. Multiply the coefficients:

    – 2.4 × 9.75 = 23.4

    2. Add the exponents:

    – (-2) + (-1) = -3

    Now combine both results into scientific notation:

    – The multiplication gives you 23.4 × 10^{-3}.

    Next, convert 23.4 to proper scientific notation by expressing it as 2.34 × 10^{1}. Then adjust the exponent accordingly:

    – 2.34 × 10^{1} × 10^{-3} = 2.34 × 10^{-2} (because 1 – 3 = -2).

    Thus, the answer is 2.34 × 10^{-2}.

    This corresponds to the option:

    2.34 × 10^{-2}

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