Difficulty: Easy
Correct Answer: 96
Explanation:
Introduction / Context:A division near 18 and a product near 4.5*8 provide easy mental approximations. Subtract the second from the first and select the nearest choice. Options differ by only a few units, so keep approximations tight.
Given Data / Assumptions:
Concept / Approach:Approximate Term1 with 2376/18 ≈ 132. Then compute Term2 around 4.5*8 = 36, with a small upward correction. Subtract to obtain the final estimate and compare to options.
Step-by-Step Solution:
Term1 ≈ 2376 / 18 = 132 Term2 ≈ 4.525 * 8.05 ≈ 36.4 (since 4.525*8 ≈ 36.2 and +0.05*4.525 ≈ 0.226) Difference ≈ 132 − 36.4 ≈ 95.6 Exact calculation gives about 95.49; nearest listed option = 96.Verification / Alternative check:Use 2375.85/18.01 ≈ 131.99 and 4.525*8.05 ≈ 36.50; difference ≈ 95.49; nearest to 96.
Why Other Options Are Wrong:103 is too high; 88 and 90 are low versus the computed mid-90s result.
Common Pitfalls:Dividing by 18.01 as if 18.1 (which would understate Term1 more) or rounding the product too coarsely to 36 without the 0.4–0.5 bump.
Final Answer:96
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