Estimating Product and Quotient

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

Estimate to Nearest Tens

Estimate to Nearest Hundreds

Estimate to Nearest Thousands

Estimating Sum and Difference







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