In a district, two schools have 48,600 and 37,400 students respectively
In a district, two schools have 48,600 and 37,400 students respectively. Ankit rounds these to 50,000 and 40,000 and says the exact total is 90,000 students. Is that the correct total?
Who do you think is right? Pick one.
The answer: No, that is only an estimate
Why
Ankit's rounding is a genuinely smart way to get a QUICK sense of the total, and 90,000 is a perfectly reasonable ballpark. Where he goes wrong is calling that ballpark 'exact.' Add the real numbers directly: 48,600 + 37,400 = 86,000. His rounded estimate of 90,000 overshoots the true total by 4,000, because he rounded both numbers UP (48,600 to 50,000 added 1,400; 37,400 to 40,000 added 2,600), so both errors stacked in the same direction instead of cancelling out. Rounding is a genuinely useful tool for checking whether an exact answer feels roughly right, and for quick mental estimates — but it is a substitute for exactness only when you don't need the exact number, and a district planning exactly how many textbooks or desks to send needs 86,000, not 90,000. Test: add 48,600 and 37,400 on paper, digit by digit, and compare to the rounded guess — the 4,000 gap is real and would matter for anyone actually ordering supplies. No, that is only an estimate: 48,600 + 37,400 = 86,000 exactly, and rounding both numbers up before adding pushed the estimate 4,000 higher than the true total.
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