Percent with two decimals on a four-digit number: Estimate 124.35% of 8096 and select the closest option.

Difficulty: Easy

Correct Answer: 10000

Explanation:


Introduction / Context:
A percent slightly above 125% of 8000 would be slightly above 10000. Because 124.35% is just under 125%, the result should be just under 10120. Coarse options push us to pick the nearest thousand-level choice accordingly.


Given Data / Assumptions:

  • N = 8096
  • Percent = 124.35% = 1.2435


Concept / Approach:
Compute 1.2435 × 8096, or bound it using 1.25 × 8000 = 10000 as a quick benchmark and adjust slightly upward due to 8096 and slightly downward due to 1.2435 < 1.25.


Step-by-Step Solution:

Exact: 1.2435 × 8096 ≈ 10067.38Compare with options: 10000 is 67 away; 12000 is ~1933 awayThus, 10000 is the nearest option


Verification / Alternative check:
Bounding: 1.25 × 8096 = 10120; since we use 1.2435 (slightly smaller), the true result is slightly less than 10120, i.e., around 10070, confirming proximity to 10000.


Why Other Options Are Wrong:

  • 2000, 1000: far too small.
  • 12000: too large.
  • 9000: still 1000 away, not the closest.


Common Pitfalls:
Using 124.35 as a multiplier instead of 1.2435, which would inflate the result by a factor of 100.


Final Answer:
10000

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