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Question

Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens): 4,89,348-48,365


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Solution

Step 1 : Rounding off to hundreds.

If the tens digits are 0,1,2,3 or 4 then round down to the previous hundred, and if the tens digits are 5,6,7,8 or 9 then round up to the next hundred.

Rounding off 4,89,348 to the nearest hundreds=4,89,300

Rounding off 48,365 to the nearest hundreds =48,400

On subtracting,

4,89,300-48,400=4,40,900

Step 2 : Rounding off to tens.

If the one's digits are 0,1,2,3 or 4 then round down to the previous ten, and if the one's digits are 5,6,7,8 or 9 then round up to the next ten.

Rounding off 4,89,348 to the nearest tens =4,89,350

Rounding off 48,365 to the nearest tens =48,370

On subtracting,

4,89,350-48,370=4,40,980

Hence, using rounding off to hundreds answer is 4,40,900 and using rounding off to tens answer is 4,40,980.


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