Multiply near-round decimals and adjust: Estimate 19.003 × 22.998 − 280.010 and pick the nearest option.

Introduction / Context:
Products of numbers close to integers can be computed by anchoring to the round values and applying small corrections. Here 19.003 ≈ 19 and 22.998 ≈ 23. After multiplying, subtracting 280.010 refines the estimate to the nearest listed choice.

Given Data / Assumptions:

• x ≈ 19, y ≈ 23
• Expression: x * y − 280.010

Concept / Approach:
First compute the rounded product 19 × 23 = 437. Small deviations (0.003 low or high) adjust the product by only a few hundredths. Then subtract 280.010 to locate the nearest option.

Step-by-Step Solution:

Verification / Alternative check:
Direct computation: 19.003 × 22.998 − 280.010 ≈ 157.02, which is closer to 160 than to 150 or 170 (not listed).

Why Other Options Are Wrong:

• 220, 180: too large relative to the computed 157.
• 110, 90: too small.

Common Pitfalls:
Multiplying the rounded numbers and then forgetting to subtract the given 280.010, which would leave the estimate near 437 rather than around 157.

Final Answer:
160