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Compute: 2056 × 987.

Difficulty: Medium

Correct Answer: 2029272

Explanation:

Given data

  • Multiply 2056 by 987.

Concept / Approach

  • Use 987 = 1000 − 13 to simplify.

Step-by-step calculation

2056 × 987 = 2056 × (1000 − 13)= 2,056,000 − (2056 × 13)2056 × 13 = 2056 × (10 + 3) = 20,560 + 6,168 = 26,728Therefore, product = 2,056,000 − 26,728 = 2,029,272


Verification

Sanity check: 2056 × 1000 = 2,056,000; subtract roughly 2056 × 13 \u2248 26.7k \u2192 \u2248 2,029,300 (close to exact result 2,029,272).


Common pitfalls

  • Forgetting to subtract the full 13× term after using (1000 − 13).

Final Answer

2029272

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