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Practice time 4D
Without doing actual division, find the quotient and the remainder.
1. 78 ÷ 10 2. 420 ÷ 10 3. 936 ÷ 100 4. 2796 ÷ 10
5. 2365 ÷ 100 6. 23708 ÷ 100 7. 5064 ÷ 1000 8. 2033 ÷ 1000
9. 13655 ÷ 1000 10. 23009 ÷ 1000 11. 99867 ÷ 1000 12. 101568 ÷ 1000
estimating the Quotient
Like multiplication, the rules for rounding off the
numbers in division remains the same. To estimate Challenge Question
the quotient, we round off the numbers to their A number divided by 4 gives
highest place if a specific round-off is not given. a quotient of 123. When the
Example 1: Estimate the quotient for: same number is divided by 3,
(a) 1980 ÷ 18. (b) 24787 ÷ 43 what could the quotient be?
Solution: (a) 1980 rounded off to the nearest thousands is 2000.
18 rounded off to the nearest tens is 20.
Estimated quotient Actual quotient
20 2000 100 18 1980 110 Be Aware
– 20 – 18 If in a division process,
00 18 only zero(s) are left,
– 00 – 18 then we add the same
00 00 number of zeros in the
2000 ÷ 20 = 100 1980 ÷ 18 = 110 quotient.
The estimated quotient is close to the actual quotient.
So, the answer is reasonable.
(b) 24787 ÷ 43
24787 rounded off to the nearest ten thousands place = 20000
43 rounded off to the nearest tens place = 40
Estimated quotient Actual quotient
40 20000 500 43 24787 576
– 200 – 215
000 328
– 301
277
– 258
20000 ÷ 40 = 500 19 24787 ÷ 43 = 576
(Ignore the remainder, the actual quotient is 576.)
Thus, the estimated quotient is close to the actual quotient.
Mathematics-4 79

