Mathematics
Estimate the following products by rounding off each of its factors nearest to its greatest place:
(i) 578 × 161
(ii) 9650 × 27
Number System
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Answer
(i) 578 × 161
Rounding off 578 to its greatest place (hundreds): tens digit is 7 (≥ 5), so 578 → 600.
Rounding off 161 to its greatest place (hundreds): tens digit is 6 (≥ 5), so 161 → 200.
Estimated product = 600 × 200 = 1,20,000.
Hence, the estimated product = 1,20,000.
(ii) 9650 × 27
Rounding off 9650 to its greatest place (thousands): hundreds digit is 6 (≥ 5), so 9650 → 10,000.
Rounding off 27 to its greatest place (tens): ones digit is 7 (≥ 5), so 27 → 30.
Estimated product = 10,000 × 30 = 3,00,000.
Hence, the estimated product = 3,00,000.
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