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
- A.
116
- B.
150
- C.
110
- 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):
Resolve the brackets first: (8 − 7) = 1 and (9 / 3) = 3, so the expression becomes 2 + 7 × 16 − 1 − 3.
Perform the multiplication next: 7 × 16 = 112, giving 2 + 112 − 1 − 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.