Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):
(a) 439 + 334 + 4,317 (b) 1,08,734 – 47,599 (c) 8325 – 491 (d) 4,89,348 – 48,365
Solution (a)
439 + 334 + 4,317
Rounding off 439 to the nearest hundreds, we get 400
Rounding off 334 to the nearest hundreds, we get 300
And, rounding off 4,317 to the nearest hundreds, we get 4,300
Therefore, 400 + 300 + 4,300 = 5,000
It means that answer is equal to 5,000 when we round off different terms to the nearest hundreds.
Rounding off 439 to the nearest tens, we get 440
Rounding off 334 to the nearest tens, we get 330
And, rounding off 4,317 to the nearest tens, we get 4,320
Therefore, 440 + 330 + 4,320 = 5,090
It means that answer is equal to 5,090 when we round off different terms to the nearest tens.
Solution (b)
1,08,734 – 47,599
Rounding off 1,08,734 to the nearest hundreds, we get 1,08,700
And rounding off 47,599 to the nearest hundreds, we get 47,600
Therefore, 1,08,700-47,600=61,100
It means that answer is equal to 61,100 when we round off the terms to the nearest hundreds.
Rounding off 1,08,734 to the nearest tens, we get 1,08,730
And rounding off 47,599 to the nearest tens, we get 47,600
Therefore, 1,08,730-47,600=61,130
It means that answer is equal to 61,130 when we round off terms to the nearest tens.
Solution (c)
8,325 – 491
Rounding off 8,325 to the nearest hundreds, we get 8,300
And, rounding off 491 to the nearest hundreds, we get 500
Therefore, 8,300-500=7,800
It means that answer is equal to 7,800 when we round off terms to the nearest hundreds.
Rounding off 8,325 to the nearest tens, we get 8,330
And, rounding off 491 to the nearest tens, we get 490
Therefore, 8,330-490=7,840
It means that answer is equal to 7,840 when we round off terms to the nearest tens.
Solution (d)
4,89,348 – 48,365
Rounding off 4,89,348 to the nearest hundreds, we get 4,89,300
And, rounding off 48,365 to the nearest hundreds, we get 48,400
Therefore, 4,89,300-48,400=4,40,900
It means that answer is equal to 4,40,900 when we round off terms to the nearest hundreds.
Rounding off 4,89,348 to the nearest tens, we get 4,89,350
And, rounding off 48,365 to the nearest tens, we get 48,370
Therefore, 4,89,350-48,370=4,40,980
It means that answer is equal to 4,40,980 when we round off terms to the nearest tens.
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DR. PUNEET BHARGAVA says
Does rough estimate always mean round off to nearest hundred and closer estimate means round off to nearest 10? Because in the question given to my child in Maths worksheet, they have asked to find rough and closer estimate but they have not specified in brackets that round off to nearest hundred and round off to nearest 10.