what is the difference in the estimated sum and actual sum of 2345 and 6578 when both number and rounded off to the nearest hundreds?
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Example 2:
Estimate: 5673 – 436 by rounding off the numbers to their greatest places. Also,, find the reasonable estimate.
Solution:
We have, 5673 – 436 = 5237.
The greatest place in 5673 is thousands place and in 436 the greatest place is hundred place.
Estimating 5673 to nearest thousands, we get 6000
Estimating 436 to nearest hundreds, we get 400
Therefore estimated difference = 6000 – 400 = 5600
Clearly, it is not closer to the actual difference. So, it is not a reasonable estimate.
Let us round off 5673 and 436 to nearest hundreds.
5673 rounds off as 5700.
436 rounds off as 400
Therefore estimated difference = 5700 – 400 = 5300
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