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Find the sum of the following leaving your answer in standard form: 1. 4.62×10⁹ + 3.75×10⁹, 2. 9.17×10⁵ + 7.45×10⁶

Mathematics

ScanSolve AI Answer

Step-by-step solution

7 steps

Here are the sums in standard form:

  1. 4.62×109+3.75×1094.62 \times 10^9 + 3.75 \times 10^9
  1. Since the powers of 10 are the same, add the coefficients.

    $$
    (4.62 + 3.75) \times 10^9
    $$
    
  2. Perform the addition.

    $$
    8.37 \times 10^9
    $$
    
  3. The result is already in standard form.

    $$
    \boxed{8.37 \times 10^9}
    $$
    

    2. 9.17×105+7.45×1069.17 \times 10^5 + 7.45 \times 10^6

  4. Convert one of the numbers so that both have the same power of 10.

    It's usually easier to convert the smaller power to the larger power. 9.17×105=0.917×106 9.17 \times 10^5 = 0.917 \times 10^6

  5. Add the numbers with the common power of 10.

    $$
    0.917 \times 10^6 + 7.45 \times 10^6 = (0.917 + 7.45) \times 10^6
    $$
    
  6. Perform the addition.

    $$
    8.367 \times 10^6
    $$
    
  7. The result is already in standard form.

    $$
    \boxed{8.367 \times 10^6}
    $$
    
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