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Give a rough estimate (by rounding of to nearest hundreds) and also a closer estimate (by rounding of 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.
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.
c) 8325 - 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.
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.