Two-decimal percent of a decimal: Estimate 12.49% of 839.859 and select the nearest option.

Introduction / Context:Percent of a decimal is handled the same as percent of an integer: multiply by the percent expressed as a decimal. Here 12.49% = 0.1249, and the base is ≈ 840, making the estimate straightforward and very close to a three-digit number slightly above 100.

Given Data / Assumptions:

• Base = 839.859
• Percent = 12.49% = 0.1249

Concept / Approach:Compute 0.1249 * 839.859. For a quick estimate, use 0.125 * 840 = 105, then recognize that 0.1249 and 839.859 will land slightly under or around 105, making 105 the closest choice.

Step-by-Step Solution:

Verification / Alternative check:Even the exact product 104.9... is closer to 105 than to 100 or 95. Thus, 105 is the correct nearest option among the choices provided.

Why Other Options Are Wrong:

• 95, 100: underestimate the computed value.
• 115: overestimates by about 10.
• 90: much too small.

Common Pitfalls:Using 12.49 (not percent) directly as a factor, or erroneously rounding the base down to 800 which would bias the estimate too low.

Final Answer:105