Simplify the following expression and find the value of A: 2 + 7 × 16 − (8 −…

2024

Simplify the following expression and find the value of A:

2 + 7 × 16 − (8 − 7) − (9 / 3) = A

  1. A.

    116

  2. B.

    150

  3. C.

    110

  4. D.

    220

Attempted by 2 students.

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Correct answer: C

Concept: BODMAS (order of operations) states that within a numerical expression you resolve terms inside Brackets first, then Division and Multiplication (left to right), and finally Addition and Subtraction (left to right).

Applying this to the given expression, 2 + 7 × 16 − (8 − 7) − (9 / 3):

  1. Resolve the brackets first: (8 − 7) = 1 and (9 / 3) = 3, so the expression becomes 2 + 7 × 16 − 1 − 3.

  2. Perform the multiplication next: 7 × 16 = 112, giving 2 + 112 − 1 − 3.

  3. Combine the remaining addition and subtraction from left to right: 2 + 112 = 114; 114 − 1 = 113; 113 − 3 = 110.

Cross-check: distributing the first bracket's minus sign directly, −(8 − 7) = −8 + 7, gives the same running total: 2 + 112 − 8 + 7 − 3 = 110, confirming the result.

Hence, the value of A is 110.

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