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Divide. Write your answer in scientific notation. 2 × 10^6 4 × 10^8

Divide. Write your answer in scientific notation.
2 × 10^6
4 × 10^8




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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To divide the two numbers in scientific notation, you need to divide their coefficients and subtract the exponents.

    So, the division ( frac{2 times 10^6}{4 times 10^8} ) can be done as follows:

    1. Divide the coefficients: ( frac{2}{4} = 0.5 ).
    2. Subtract the exponents: ( 10^{6 – 8} = 10^{-2} ).

    Now combine them:

    [ 0.5 times 10^{-2} ]

    To express ( 0.5 ) in scientific notation, it can be written as ( 5 times 10^{-1} ). Therefore:

    [ 0.5 times 10^{-2} = 5 times 10^{-1} times 10^{-2} = 5 times 10^{-3} ]

    Thus, the final answer in scientific notation is:

    [ 5 times 10^{-3} ]

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