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Add. Write your answer in scientific notation.\newline(1.53×104)+(8.17×104)(1.53 \times 10^4) + (8.17 \times 10^4)\newlineChoices:\newline(A) 3.08×1043.08 \times 10^4\newline(B) 9.7×1089.7 \times 10^8\newline(C) 3.08×1083.08 \times 10^8\newline(D) 9.7×1049.7 \times 10^4

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Add and subtract numbers written in scientific notationright chevron icon

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Q. Add. Write your answer in scientific notation.\newline(1.53×104)+(8.17×104)(1.53 \times 10^4) + (8.17 \times 10^4)\newlineChoices:\newline(A) 3.08×1043.08 \times 10^4\newline(B) 9.7×1089.7 \times 10^8\newline(C) 3.08×1083.08 \times 10^8\newline(D) 9.7×1049.7 \times 10^4
  1. Add Coefficients: We have the following expression to add:\newline(1.53×104)+(8.17×104)(1.53 \times 10^4) + (8.17 \times 10^4)\newlineSince the powers of 1010 are the same, we can directly add the coefficients.\newlineWhat is 1.53+8.171.53 + 8.17?\newline1.53+8.17=9.701.53 + 8.17 = 9.70
  2. Convert to Scientific Notation: Write the answer in scientific notation.\newlineSubstitute 9.709.70 for the coefficient and keep the power of 1010 the same, which is 44.\newlineScientific notation: 9.70×1049.70 \times 10^4
  3. Choose Correct Expression: Choose the equivalent expression for the sum of (1.53×104)(1.53 \times 10^4) and (8.17×104)(8.17 \times 10^4).(1.53×104)+(8.17×104)=9.70×104(1.53 \times 10^4) + (8.17 \times 10^4) = 9.70 \times 10^4 The correct choice is (D)9.70×104(D) 9.70 \times 10^4.

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