Page 89 - Start Up Mathematics_4

Estimating the Quotient

You have already learnt to estimate sums, differences and products. Let’s now learn to
estimate the quotient.

Example 13: Sameer purchased 28 key chains and distributed them equally among
11 friends. Estimate how many key chains did each friend get.

Solution: Total key chains = 28
Total friends = 11

Round off 28 and 11 to the nearest 10.
28 rounds off to 30 and 11 rounds off to 10.
Now, 30 ÷ 10 = 3

Thus, each friend gets about 3 key chains. So, the estimated quotient is 3.
Actual division

2 Actual quotient = 2, i.e., actually each friend gets 2 key
11 28 chains and 6 key chains are left.
– 22

6

Example 14: Estimate the quotient when 132 is divided by 21 (round off to the nearest
10).

Solution: 132 rounds off to 130 and 21 rounds off to 20. 6
130 ÷ 20 = 6 20 130
Thus, the estimated quotient is 6. – 120
10

EXERCISE 6.5

Find the estimated and actual quotient and remainder of the following. Round off the
numbers to the nearest 10.
Problem Estimated Quotient Actual Quotient Actual Remainder

(a) 78 ÷ 13

(b) 92 ÷ 12

(c) 167 ÷ 21

(d) 219 ÷ 27

(e) 4,065 ÷ 48

(f) 9,321 ÷ 56

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