
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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