Problem 10: Calculate the answer up to appropriate numbers of significant figures.
(a) 168.99 × 9 (b)23.5 + 234.09 (c) 984.25/80.0
Solution
(a)
![](https://mashalscienceacademy.com/wp-content/uploads/2020/11/p11c1nume36.png)
Now the least number of significant figures in the question is in 9 (1 sig fig), therefore, the final result would be rounded off to one significant figure.
![](https://mashalscienceacademy.com/wp-content/uploads/2020/11/p11c1nume37.png)
(Note: There is one sig fig in the above answer).
(b)
23.5 + 234.09 = 257.59
In the case of addition, the answer is determined by the most uncertainty. 23.5 has more uncertainty than 234.09, therefore, the answer is rounded off to one decimal place.
![](https://mashalscienceacademy.com/wp-content/uploads/2020/11/p11c1nume38.png)
(c)
![](https://mashalscienceacademy.com/wp-content/uploads/2020/11/p11c1nume39.png)
The least precise number is 80 (has 2 sig figs). The result should be rounded off to 2 sig figs.
![](https://mashalscienceacademy.com/wp-content/uploads/2020/11/p11c1nume40.png)
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