The procedure of estimating product and quotient are in the following examples.
Solved examples to estimate product and quotient:
1. Estimate the product 958 × 387 by rounding off each factor to its greatest place.
Solution:
Clearly, each factor is a three digit number. So, we round off each factor to nearest hundreds.
958 rounds off as 1000
387 rounds off as 400
Therefore estimated product = 1000 × 400 = 400000
2. Estimate the product to the nearest hundreds.
(i) 42 × 37
(ii) 67 × 62
(iii) 99 × 91
(iv) 147 × 51
(v) 193 × 47
Solution:
(i) 42 × 37 = 40 × 40 = 1600
(ii) 67 × 62 = 70 × 60 = 4200
(iii) 99 × 91 = 100 × 90 = 9000
(iv) 147 × 51 = 150 × 50 = 7500
(v) 193 × 47 = 190 × 50 = 9500
2. Find the estimated quotient 2838 ÷ 125 by rounding off the numerator and denominator to the nearest hundreds.
Solution:
We find that
2838 rounds off to nearest hundreds 2800
125 rounds off to nearest hundreds as 100
Therefore, estimated quotient = 2800 ÷ 100 = 28.
3. Estimate the quotient to the nearest tens.
(i) 87 ÷ 9
(ii) 163 ÷ 11
(iii) 461 ÷ 7
(iv) 1223 ÷ 17
Solution:
(i) 87 ÷ 9 = 90 ÷ 10 = 9 = 10
(ii) 163 ÷ 11 = 160 ÷ 10 = 16 = 20
(iii) 451 ÷ 7 = 460 ÷ 10 = 46 = 50
(iv) 1223 ÷ 17 = 1220 ÷ 20 = 61 = 60
● Estimate
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