Approximation and quick calculation: Evaluate 1559.999 ÷ 24.001 + (11.005 × 6.999) and choose the closest option.

Difficulty: Easy

Correct Answer: 142

Explanation:


Introduction / Context:
The sum combines a division near 65 with a product a little over 77. Keeping each term accurate to 0.5 is enough to choose among the options in the 130–150 range confidently.


Given Data / Assumptions:

  • Term1 ≈ 1559.999 / 24.001
  • Term2 ≈ 11.005 * 6.999


Concept / Approach:
Approximate Term1 with 1560/24 = 65. Term2 is close to 11*7 = 77; small adjustments push it near 77.03. Sum around 142 confirms the nearest option.


Step-by-Step Solution:

Term1 ≈ 65.00 (very close) Term2 ≈ 11.005 * 6.999 ≈ 77.02 Sum ≈ 65.00 + 77.02 ≈ 142.02 Nearest option: 142


Verification / Alternative check:
Exact calculation yields about 142.02, confirming 142 is the best choice relative to the other options.


Why Other Options Are Wrong:
137 and 132 are too low; 152 is too high versus the tight sum around 142.


Common Pitfalls:
Over-rounding 1559.999/24.001 to 65 and then subtracting a large correction; the correction is tiny and does not change the nearest option.


Final Answer:
142

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