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Add. Write your answer in scientific notation. (4.2 × 10⁹) + (8.1 × 10⁹) What is the sum in scientific notation?

Add. Write your answer in scientific notation.
(4.2 × 10⁹) + (8.1 × 10⁹)
3.2 × 10¹⁰
1.23 × 10⁸
3.2 × 10⁸
1.23 × 10¹⁰




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1 Answer

  1. To add the numbers in scientific notation, you need to make sure the exponents are the same. Here, both numbers have the same exponent of 10⁹, so you can directly add the coefficients (the numbers in front).

    1. Add the coefficients:

    (4.2 + 8.1 = 12.3)

    2. Combine with the exponent:

    So, you have (12.3 × 10⁹).

    3. Convert to proper scientific notation:

    Since 12.3 is larger than 10, you need to convert it:

    (12.3 = 1.23 × 10¹). Therefore, (12.3 × 10⁹ = 1.23 × 10¹ × 10⁹ = 1.23 × 10¹⁰).

    So, the answer in scientific notation is 1.23 × 10¹⁰.

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