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Subtract. Write your answer in scientific notation.\newline(5.83×104)(1.22×104)(5.83 \times 10^4) - (1.22 \times 10^4)\newlineChoices:\newline(A) 4.61×1044.61 \times 10^4\newline(B) 7.05×1047.05 \times 10^4\newline(C) 4.61×1084.61 \times 10^8\newline(D) 7.05×1087.05 \times 10^8

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Q. Subtract. Write your answer in scientific notation.\newline(5.83×104)(1.22×104)(5.83 \times 10^4) - (1.22 \times 10^4)\newlineChoices:\newline(A) 4.61×1044.61 \times 10^4\newline(B) 7.05×1047.05 \times 10^4\newline(C) 4.61×1084.61 \times 10^8\newline(D) 7.05×1087.05 \times 10^8
  1. Subtraction Problem: We have the following subtraction problem in scientific notation:\newline(5.83×104)(1.22×104)(5.83 \times 10^4) - (1.22 \times 10^4)\newlineSince the powers of 1010 are the same, we can directly subtract the coefficients.\newlineWhat is 5.831.225.83 - 1.22?\newline5.831.22=4.615.83 - 1.22 = 4.61
  2. Subtract Coefficients: Write the answer in scientific notation.\newlineSince we subtracted the coefficients, the power of 1010 remains the same.\newlineTherefore, the result in scientific notation is 4.61×1044.61 \times 10^4.
  3. Write in Scientific Notation: Choose the equivalent expression for (5.83×104)(1.22×104)(5.83 \times 10^4) - (1.22 \times 10^4).\newlineThe correct answer is 4.61×1044.61 \times 10^4, which corresponds to choice (A).

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