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Evaluate: 32 ÷ 12 × 3 - 2 × 4
0
3
1
2
0
Use the BODMAS rule strictly: first divide, then multiply, then subtract. Always process division before multiplication if they appear in order from left to right.
Mathematical expression: 32 ÷ 12 × 3 - 2 × 4
BODMAS:B=Bracket,O=Of,D=Divide,M=Multiply,A=Add,S=Subtract
Use the BODMAS rule strictly: first divide, then multiply, then subtract. Always process division before multiplication if they appear in order from left to right.
Performing 12 × 3 first (resulting in 32 ÷ 36) instead of dividing 32 by 12 first, which leads to an incorrect fractional value.
Divide
According to the BODMAS rule, perform division before multiplication. Divide 32 by 12.
32÷12=1232=38
Multiply
Next, multiply the result by 3, and calculate the second product separately.
(38×3)−(2×4)=8−8
Subtract
Finally, subtract the products to get the result.
8−8=0
A is correct because the result of the expression 32 ÷ 12 × 3 - 2 × 4 evaluated via BODMAS is 0.
This concept of BODMAS is fundamental to all competitive exams; it is also crucial when dealing with complex algebraic equations or physics formula derivations where the order of operations changes the final dimensional value.
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