3(1 + 7) / 2 =
3(1 + 7) / 2 = 12.
To solve the expression, we first evaluate the parentheses, followed by multiplication, and finally division. This leads us to the correct answer of 12.
This choice results from miscalculating the order of operations. If one mistakenly adds 1 and 7 to get 8, then divides 3 by 2, it yields 1.5, which is not the correct approach to this expression.
This answer might come from incorrectly adding the results of separate operations. If 1 + 7 is computed as 8, and then 3(8) is calculated to be 24, dividing this by 2 would yield 12, but the answer of 11 does not correspond to the operations performed correctly.
Correctly evaluating the expression yields this answer: first, add 1 and 7 to get 8, then multiply by 3 to obtain 24, and finally divide by 2 results in 12. This is the accurate calculation following the order of operations.
This result arises from multiplying 3 by the sum of 1 and 7 without completing the division step. After calculating 3(1 + 7) = 24, neglecting the division by 2 leads to an incorrect answer.
The correct evaluation of the expression 3(1 + 7) / 2 leads to 12 by properly following the order of operations—first resolving the parentheses, then performing multiplication, and finally division. The other choices stem from either miscalculations or failures to apply the order of operations correctly. Understanding this process is crucial for accurate mathematical problem-solving.
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