In a division sum, when the divisor is made up of 2 digits or more than 2 digits, it helps if we first estimate the quotient and then try to find the actual number.
(i) Divide 84 by 21
Round the number to the nearest ten
Estimated quotient = 4
Round to the nearest ten
Estimated quotient = 12
In the process of division, the estimation of quotient plays a great role in its solution. Let us see this in the following questions on division.
1. 74 ÷ 35 is approximately the same as 70 ÷ 40, i.e., 7 ÷ 4 (74 → 70 & 35 → 40)
7 ÷ 4 is approximately 2.
So, estimated quotient is 2.
2. 627 ÷ 23 is approximately the same as 600 ÷ 20 = 60 ÷ 2 = 30
(627 → 600 & 23 → 20)
So, the estimated quotient is 30.
3. 694 ÷ 56 is approximately the same as 700 ÷ 60 or 70 ÷ 6
70 ÷ 6 is approximately = 12.
So, the estimated quotient =12
4. 975 ÷ 48 is approximately 1000 ÷ 50 = 100 ÷ 5 = 20
So, estimated quotient = 20
Question and Answers on Estimation in Division:
1. Estimate by rounding each number and then divide. One is done for you.
(ii) 90 ÷ 30; Q = 3, R = 0
(iii) 300 ÷ 100; Q = 3, R = 0
(iv) 2400 ÷ 1000; Q = 2, R = 400
(v) 700 ÷ 200; Q = 3, R = 100
(vi) 5400 ÷ 4000; Q = 1, R = 1400
(vii) 9000 ÷ 6000; Q = 1, R = 3000
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