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

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:

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