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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) 6.7×1036.7 \times 10^3\newline(C) 6.7×1066.7 \times 10^6\newline(D) 8.5×1068.5 \times 10^6

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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) 6.7×1036.7 \times 10^3\newline(C) 6.7×1066.7 \times 10^6\newline(D) 8.5×1068.5 \times 10^6
  1. Add Coefficients: We have the following expression to add:\newline(5×103)+(1.7×103)(5 \times 10^3) + (1.7 \times 10^3)\newlineSince the powers of 1010 are the same, we can directly add the coefficients.\newlineWhat is 5+1.75 + 1.7?\newline5+1.7=6.75 + 1.7 = 6.7
  2. Write in Scientific Notation: Write the answer in scientific notation.\newlineWe substitute 6.76.7 for the coefficient and keep the power of 1010 the same, which is 33.\newlineScientific notation: 6.7×1036.7 \times 10^3
  3. Find Equivalent Expression: Choose the equivalent expression for (5×103)+(1.7×103)(5 \times 10^3) + (1.7 \times 10^3).(5×103)+(1.7×103)=6.7×103(5 \times 10^3) + (1.7 \times 10^3) = 6.7 \times 10^3Therefore, the sum in scientific notation is 6.7×1036.7 \times 10^3.

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