APPROXIMATION IN CALCULATIONS.

Approximations in calculations is done by rounding each of the numbers in such a way that the calculation becomes relatively straight forward.

The symbol ‘≈’means ‘is approximately equal to’

 Example

Estimate the value of 55×252 by rounding each number to one significant figure

 Solution

55×252

Hence in this question we have to first round 55 to 60 and then round 252 to 300. ( Any problem with approximation and rounding of number CLICK HERE Approximation of numbers. to learn more about how to approximate and round off numbers.

Hence we obtain:

≈60×300

          =1800

Exercise.

Estimate each of the following by rounding each number to one significant figure.

a) 288.7×7.8

 Solution

288.7×7.8

≈300×8

=2400

b) 142.75×9.56

 Solution

142.75×9.56

≈ 100×10

=1000

c)(9.9×285)/(18.7×3.2)

Solution

(9.9×285)/(18.7×3.2)

≈(10×300)/(20×3)

=3000/60

=50

 Try these

d) 494.27÷5.05

e)   (310.33×2.68)/(316.39×0.82)                                   

f)   (173.64× 10.6)/(64.44× 5.58)                                   

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OTHER RELATED TOPICS:

Significant figures.

Number systems.

Decimals.

Fractions.

Approximation of numbers.

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