Numerical Ability - Simplification & Approximation
Approximate: (645 × 88) − (132 × 47) (round final answer to nearest hundred)
Approximate: (645 × 88) − (132 × 47) (round final answer to nearest hundred)
hard Q9 of 15
Step-by-Step Solution
Step 1: Compute both products exactly
645 × 88 = 56,760. 132 × 47 = 132 × (40 + 7) = 5,280 + 924 = 6,204.Step 2: Subtract
56,760 − 6,204 = 50,556.Step 3: Round to the nearest hundred
50,556 → 50,600.Final Answer:
50,600 → Option B.Quick Check:
50,556 is 56 above 50,500 → round up to 50,600 ✅
Quick Trick: Compute exact intermediate products when easy, then round final result — this avoids compounding rounding errors.
Common Mistakes:
- Making arithmetic slip on one product (e.g., miscomputing 132×47) or rounding intermediate products too coarsely before subtracting.
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