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Add. Write your answer in scientific notation.\newline(5×103)+(1.7×103)(5 \times 10^3) + (1.7 \times 10^3)\newlineChoices:\newline(A) 8.5×1038.5 \times 10^3\newline(B) 6.7×1066.7 \times 10^6\newline(C) 8.5×1068.5 \times 10^6\newline(D) 6.7×1036.7 \times 10^3

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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(5×103)+(1.7×103)(5 \times 10^3) + (1.7 \times 10^3)\newlineChoices:\newline(A) 8.5×1038.5 \times 10^3\newline(B) 6.7×1066.7 \times 10^6\newline(C) 8.5×1068.5 \times 10^6\newline(D) 6.7×1036.7 \times 10^3
  1. Identify Coefficients and Powers: Identify the coefficients and the powers of 1010 in both terms.\newlineWe have (5×103)(5 \times 10^3) and (1.7×103)(1.7 \times 10^3). Both terms have the same power of 1010, which is 10310^3.
  2. Add Coefficients: Add the coefficients since the powers of 1010 are the same.\newlineWhat is 5+1.75 + 1.7?\newline5+1.7=6.75 + 1.7 = 6.7
  3. Write in Scientific Notation: Write the answer in scientific notation.\newlineSince we have found the sum of the coefficients to be 6.76.7, we keep the power of 1010 the same.\newlineScientific notation: 6.7×1036.7 \times 10^3
  4. Choose Equivalent Expression: Choose the equivalent expression for (5×103)+(1.7×103)(5 \times 10^3) + (1.7 \times 10^3).\newline(5×103)+(1.7×103)=6.7×103(5 \times 10^3) + (1.7 \times 10^3) = 6.7 \times 10^3\newline(5×103)+(1.7×103)(5 \times 10^3) + (1.7 \times 10^3) is equivalent to 6.7×1036.7 \times 10^3.

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