How many significant figures should be present in the answer of the following calculations

Question.

How many significant figures should be present in the answer of the following calculations?

(i) $\frac{0.02856 \times 298.15 \times 0.112}{0.5785}$

(ii) $5 \times 5.364$

(iii) $0.0125+0.7864+0.0215$


Solution:

(i) $\frac{0.02856 \times 298.15 \times 0.112}{0.5785}$

Least precise number of calculation = 0.112

Number of significant figures in the answer

= Number of significant figures in the least precise number = 3

(ii) $5 \times 5.364$

Least precise number of calculation = 5.364

Number of significant figures in the answer = Number of significant figures in 5.364

= 4

(iii) $0.0125+0.7864+0.0215$

Since the least number of decimal places in each term is four, the number of significant figures in the answer is also 4.

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