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Multiply. Write your answer in scientific notation. (3 × 10²)(1 × 10⁴)

Multiply. Write your answer in scientific notation.
(3 × 10²)(1 × 10⁴)




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1 Answer

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

    1. Multiply the coefficients: Here, you multiply 3 (the coefficient of the first number) by 1 (the coefficient of the second number):

    [

    3 times 1 = 3

    ]

    2. Add the exponents: Since both numbers are in base 10, you add the exponents 2 and 4:

    [

    2 + 4 = 6

    ]

    3. Combine the results: Put it all together:

    [

    3 times 10^6

    ]

    Thus, the answer in scientific notation is:

    [

    boxed{3 times 10^6}

    ]

    This means the product of (3 × 10²)(1 × 10⁴) is 3 × 10^6. If you have further questions or need more in-depth help, feel free to check the extended services page!

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