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Mathematics

Estimate the following products by rounding off each of its factors nearest to its hundreds:

(i) 5281 × 3491

(ii) 1387 × 888

Number System

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Answer

(i) 5281 × 3491

Rounding off 5281 to its nearest hundreds: tens digit is 8 (≥ 5), so 5281 → 5,300.

Rounding off 3491 to its nearest hundreds: tens digit is 9 (≥ 5), so 3491 → 3,500.

Estimated product = 5,300 × 3,500 = 1,85,50,000.

Hence, the estimated product = 1,85,50,000.

(ii) 1387 × 888

Rounding off 1387 to its nearest hundreds: tens digit is 8 (≥ 5), so 1387 → 1,400.

Rounding off 888 to its nearest hundreds: tens digit is 8 (≥ 5), so 888 → 900.

Estimated product = 1,400 × 900 = 12,60,000.

Hence, the estimated product = 12,60,000.

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