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Evaluate: 32 ÷ 12 × 3 - 3 × 4
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Use the BODMAS rule strictly: perform division and multiplication from left to right as a single unit, then subtract the final product.
Expression: 32 ÷ 12 × 3 - 3 × 4
BODMAS:B−O−D−M−A−S
Use the BODMAS rule strictly: perform division and multiplication from left to right as a single unit, then subtract the final product.
Performing the subtraction 3 - 3 before multiplying, or failing to handle the division/multiplication sequence from left to right.
Apply BODMAS Rule
According to the BODMAS rule, division and multiplication must be performed before subtraction. We calculate from left to right: 32÷12=1232.
32÷12=38
Perform Multiplication
Next, multiply the result by 3: 38×3=8. Also, calculate the separate multiplication part: 3×4=12.
8−12
Final Subtraction
Subtract the two results to find the final value: 8−12=−4.
−4
A is correct because the expression simplifies to 8 - 12 which equals -4.
This order of operations (BODMAS) is the fundamental basis for all simplification problems in Simplification, Algebra, and Data Interpretation sections.
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