Express the answer to 4.31×10^7 multiplied by 5.41×10^5 scientific notation.

Question

Express the answer to 4.31×10^7 multiplied by 5.41×10^5 scientific notation.

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Diễm Kiều 4 years 2021-07-30T10:22:57+00:00 1 Answers 15 views 0

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  1. mocmien2
    0
    2021-07-30T10:24:09+00:00
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    Answer:

    The product of the two numbers is 2.33* 10^13

    Explanation:

    Given

    4.31×10⁷ and 5.41×10⁵

    Required

    Multiply

    The multiplication of the two digits is represented as thus:

    Result = 4.31 * 10^7 * 5.41 * 10^5

    This can also be rewritten as

    Result = 4.31 * 5.41 * 10^7 * 10^5

    Multiply 4.31 and 5.41

    Result = 23.3171 * 10^7 * 10^5

    Apply laws of indices

    Result = 23.3171 * 10^{7+5}

    Result = 23.3171 * 10^{12}

    The scientific notation is always in the form: a * 10^n

    Where 1 \leq\ a \leq 10

    So:

    23.3171 can be rewritten as 2.33171 * 10

    So, we have:

    Result = 2.33171 * 10* 10^{12}

    Also, apply law of indices again

    Result = 2.33171 * 10^{1+12}

    Result = 2.33171 * 10^{13}

    It’s always advisable (but not compulsory to approximate to 1 or 2 decimal places)

    So:

    Result = 2.33* 10^{13}

    Hence; the product of the two numbers is 2.33* 10^13

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