Find out the results of the following operations.
`(i) 117.3 xx 0.0024 " " (ii) 9.27 div 41`
`(iii) 42 xx 0.041 " " (iv) 124.2 + 52.487`
`(v) 124.2 - 52.487 " " (vi) sqrt(58.97)`
`(vii) (17.5)^(2)`.

Explanation

(i) 0.0024 has 2 significant figures. Hence 117.3 is rounded off to have `2+1= 3` significant figures. It becomes 117 only. Now `117 xx 0.0024 = 0.2808`
This is to be rounded off to have two significant figures only. The result is 0.28.
(ii) 41 has only 2 significant digits. Hence 9.27 can have `2 +1= 3` significant digits. It has 3 significant digits only. No need for rounding off. `(9.27)/(41)= 0.2260975` This is to be rounded off to two significant digits. The result is 0.23.
(iii) Both number have two significant digits `42 xx 0.041= 1.722`. This to be rounded off to 2 significant digits. The result is 1.7.
(iv) As this is a sum, we have to consider decimal places. 124.2 has only one decimal place. Hence 52.487 is to be rounded off to `1 + 1= 2` decimal places.
It becomes as 52.487 = 52.49
Now `124.2 + 52.49= 176.69`. This is to be rounded off to one decimal place. The result is as 176.69= 176.7
(v) Here again, we have
`124.2- 52.487= 124.52.49 = 71.71`. This is to be rounded off to one decimal place The result is 71.7
(vi) `sqrt(58.97)= 7.679`. This has got the same number of significant digits (4) as 58.97.
(vii) `(17.5)^(2)= 306.25`. The original number 17.5 has only 3 significant digits. And hence the result will be 306 (Here we have to consider the significant figures).