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Which of the following expressions are equivalent to 6.53(4.11)+7.926.53 - (-4.11) + 7.92?\newlineA) 6.53+4.11+7.926.53 + 4.11 + 7.92\newlineB) (6.53)+4.11(7.92)-(-6.53)+4.11-(-7.92)\newlineC) 4.116.53+7.92-4.11-6.53+7.92\newlineD) 4.116.53+7.924.11-6.53+7.92

Full solution

Q. Which of the following expressions are equivalent to 6.53(4.11)+7.926.53 - (-4.11) + 7.92?\newlineA) 6.53+4.11+7.926.53 + 4.11 + 7.92\newlineB) (6.53)+4.11(7.92)-(-6.53)+4.11-(-7.92)\newlineC) 4.116.53+7.92-4.11-6.53+7.92\newlineD) 4.116.53+7.924.11-6.53+7.92
  1. Simplify Expression: Step 11: Simplify the original expression.\newlineCalculate 6.53(4.11)+7.926.53 - (-4.11) + 7.92.\newline= 6.53+4.11+7.926.53 + 4.11 + 7.92\newline= 18.5618.56
  2. Check Option A: Step 22: Check option A: 6.53+4.11+7.926.53 + 4.11 + 7.92. Add the numbers. =6.53+4.11+7.92=18.56= 6.53 + 4.11 + 7.92 = 18.56
  3. Check Option B: Step 33: Check option B: (6.53)+4.11(7.92)-(-6.53) + 4.11 - (-7.92). Simplify the double negatives and add. =6.53+4.11+7.92=18.56= 6.53 + 4.11 + 7.92 = 18.56
  4. Check Option C: Step 44: Check option C: 4.116.53+7.92-4.11 - 6.53 + 7.92. Add and subtract the numbers. =4.116.53+7.92= -4.11 - 6.53 + 7.92 =2.72= -2.72

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