Find the number to subtract from the product 0.527 × 2.013 so that the result equals 1. Compute the product accurately first.

Introduction / Context:This problem asks you to combine accurate decimal multiplication with a simple linear adjustment. The key is to compute the product exactly, then determine the small difference needed to reach the target value of 1.

Given Data / Assumptions:

• Target: (0.527 × 2.013) − x = 1
• We must find x.

Concept / Approach:First multiply the decimals precisely. Then rearrange the equation to x = (0.527 × 2.013) − 1. Small digit errors derail the result, so compute carefully or break the multiplication into parts (0.5, 0.02, 0.007 components) for reliability.

Step-by-Step Solution:Compute 2.013 × 0.527 = (2.013 × 0.5) + (2.013 × 0.02) + (2.013 × 0.007).= 1.0065 + 0.04026 + 0.014091 = 1.060851.Set 1.060851 − x = 1, hence x = 1.060851 − 1 = 0.060851.

Verification / Alternative check:Direct multiplication confirms 1.060851. Subtracting 0.060851 indeed gives exactly 1.

Why Other Options Are Wrong:

• 2.060851, 1.9339085: Misinterpretation of what to subtract or arithmetic mix-up.
• 0.939085: That would be 1.060851 − 0.939085 = 0.121766, not 1.
• 0.061851: Rounding or copying error in the thousandths place.

Common Pitfalls:Dropping digits in the product, or subtracting in the wrong direction (adding to reach 1 instead of subtracting from the product).

Final Answer:0.060851