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Which expression is equivalent to 16.818.616.8-18.6?\newlineChoose 11 answer:\newline(A) 18.616.818.6-16.8\newline(B) 18.6+(16.8)-18.6+(-16.8)\newline(C) 16.8(18.6)16.8-(-18.6)\newline(D) 16.8+(18.6)16.8+(-18.6)

Full solution

Q. Which expression is equivalent to 16.818.616.8-18.6?\newlineChoose 11 answer:\newline(A) 18.616.818.6-16.8\newline(B) 18.6+(16.8)-18.6+(-16.8)\newline(C) 16.8(18.6)16.8-(-18.6)\newline(D) 16.8+(18.6)16.8+(-18.6)
  1. Perform Subtraction: We need to find an expression that is equivalent to the subtraction of two numbers, 16.816.8 and 18.618.6. Let's start by performing the subtraction to understand what we are looking for.\newline16.818.6=1.816.8 - 18.6 = -1.8\newlineWe are looking for an expression that also results in 1.8-1.8.
  2. Evaluate Option (A): Let's evaluate option (A) 18.616.818.6 - 16.8. \newline18.616.8=1.818.6 - 16.8 = 1.8\newlineThis is not equivalent to 1.8-1.8, so option (A) is not correct.
  3. Evaluate Option (B): Now let's evaluate option (B) 18.6+(16.8)-18.6 + (-16.8).18.6+(16.8)=18.616.8=35.4-18.6 + (-16.8) = -18.6 - 16.8 = -35.4This is not equivalent to 1.8-1.8, so option (B) is not correct.
  4. Evaluate Option (C): Next, let's evaluate option (C) 16.8(18.6)16.8 - (-18.6). \newline16.8(18.6)=16.8+18.6=35.416.8 - (-18.6) = 16.8 + 18.6 = 35.4\newlineThis is not equivalent to 1.8-1.8, so option (C) is not correct.
  5. Evaluate Option (D): Finally, let's evaluate option (D) 16.8+(18.6)16.8 + (-18.6). \newline16.8+(18.6)=16.818.6=1.816.8 + (-18.6) = 16.8 - 18.6 = -1.8\newlineThis is equivalent to the original expression 16.818.616.8 - 18.6, so option (D) is correct.

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