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Add. Write your answer in scientific notation.\newline(4×105)+(3.4×105)(4 \times 10^5) + (3.4 \times 10^5)\newlineChoices:\newline(A) 3.8×1053.8 \times 10^5\newline(B) 7.4×1057.4 \times 10^5\newline(C) 7.4×10107.4 \times 10^{10}\newline(D) 3.8×10103.8 \times 10^{10}

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Q. Add. Write your answer in scientific notation.\newline(4×105)+(3.4×105)(4 \times 10^5) + (3.4 \times 10^5)\newlineChoices:\newline(A) 3.8×1053.8 \times 10^5\newline(B) 7.4×1057.4 \times 10^5\newline(C) 7.4×10107.4 \times 10^{10}\newline(D) 3.8×10103.8 \times 10^{10}
  1. Identify Coefficients: We have:\newline(4×105)+(3.4×105)(4 \times 10^5) + (3.4 \times 10^5)\newlineSince the powers of 1010 are the same, we can directly add the coefficients.\newlineWhat is 4+3.44 + 3.4?\newline4+3.4=7.44 + 3.4 = 7.4
  2. Convert to Scientific Notation: Write the answer in scientific notation.\newlineSubstitute 7.47.4 for the coefficient and 55 for the exponent in a×10ba \times 10^b.\newlineScientific notation: 7.4×1057.4 \times 10^5
  3. Find Equivalent Expression: Choose the equivalent expression for (4×105)+(3.4×105)(4 \times 10^5) + (3.4 \times 10^5).(4×105)+(3.4×105)=7.4×105(4 \times 10^5) + (3.4 \times 10^5) = 7.4 \times 10^5(4×105)+(3.4×105)(4 \times 10^5) + (3.4 \times 10^5) is equivalent to 7.4×1057.4 \times 10^5.

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