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\\December 8, 2023 9:53 AM Bharat Arora P-6 Reader _________________________ Date: ___________________74

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 the quotient, we round off the numbers to their highest place if
a specific round-off is not given.

example 1: Estimate the quotient for: (a) 1980 ÷ 18. (b) 24787 ÷ 43
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 Note
– 20 – 18 If in a division process

00 18 there are only zero (s)
– 00 – 18 in the dividend, then
we add same number of
00 00 zeros in the quotient.

2000 ÷ 20 = 100 1980 ÷ 18 = 110

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 actual quotient is closer to the estimated quotient

Mathematics-4 79