Mathematics
Estimate: 6554 - 677 by estimating the numbers to their nearest
(i) thousands
(ii) hundreds
(iii) greatest places
Also point out the most reasonable estimate.
Number System
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Answer
The given numbers are 6554 and 677.
(i) Estimating the given numbers to their nearest thousands:
6554: hundreds digit is 5, so 6554 → 7,000.
677: hundreds digit is 6 (≥ 5), so 677 → 1,000.
Estimated difference = 7,000 - 1,000 = 6,000.
(ii) Estimating the given numbers to their nearest hundreds:
6554: tens digit is 5, so 6554 → 6,600.
677: tens digit is 7 (≥ 5), so 677 → 700.
Estimated difference = 6,600 - 700 = 5,900.
(iii) Estimating the given numbers to their greatest places:
The greatest place of 6554 is thousands. So 6554 → 7,000 (hundreds digit 5).
The greatest place of 677 is hundreds. So 677 → 700 (tens digit 7 ≥ 5).
Estimated difference = 7,000 - 700 = 6,300.
Actual difference = 6,554 - 677 = 5,877.
Comparing the estimates with the actual difference (5,877), the estimate to the nearest hundreds (5,900) is closest to the actual difference.
Hence, the estimate to the nearest hundreds (5,900) is the most reasonable estimate.
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