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Add. Write your answer in scientific notation. (4.04 × 10^8) + (7 × 10^9)

Add. Write your answer in scientific notation.
(4.04 × 10^8) + (7 × 10^9)
7.404 × 10^7
7.404 × 10^9
4.74 × 10^10
4.74 × 10^8




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1 Answer

  1. To add the numbers in scientific notation, we need them to be expressed with the same exponent.

    1. Convert ( 7 × 10^9 ) to the same exponent as ( 4.04 × 10^8 ):

    – ( 7 × 10^9 = 70 × 10^8 ) (since ( 10^9 = 10 × 10^8 ))

    2. Now, we can add them together:

    [

    (4.04 × 10^8) + (70 × 10^8) = (4.04 + 70) × 10^8 = 74.04 × 10^8

    ]

    3. Convert ( 74.04 × 10^8 ) to proper scientific notation:

    – Move the decimal one place to the left, which increases the exponent by 1:

    [

    7.404 × 10^9

    ]

    So, the final answer is ( 7.404 × 10^9 ).

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