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Multiply. Write your answer in scientific notation. 7 · (4 × 10⁹)

Multiply. Write your answer in scientific notation.
7 · (4 × 10⁹)
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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To solve the problem (7 cdot (4 times 10^9)), we can follow these steps:

    1. Multiply the coefficients: First, multiply 7 by 4.
    [

    7 cdot 4 = 28

    ]

    2. Combine with (10^9): Now, since we are working with scientific notation, we keep (10^9) as it is.

    [

    28 times 10^9

    ]

    3. Convert to proper scientific notation: In scientific notation, we need a coefficient between 1 and 10. So, we rewrite 28 as (2.8 times 10^1):

    [

    28 times 10^9 = (2.8 times 10^1) times 10^9

    ]

    4. Use the product of powers rule: We can add the exponents of 10:

    [

    2.8 times 10^{1+9} = 2.8 times 10^{10}

    ]

    So, the final answer in scientific notation is:

    [

    boxed{2.8 times 10^{10}}

    ]

    If you have any additional questions or need further help, feel free to ask!

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