Final answer:
When performing calculations, the result is reported with the same number of significant figures as the least precise measurement used in the calculation. Examples include multiplication and division where the numbers of significant figures in the measurements dictate the number of significant figures in the answer.
Step-by-step explanation:
The calculations have to be done taking into account the significant figures of the numbers involved. Below are the operations performed with the correct number of significant figures:
- (a) 4.6 x 0.00300 x 193 = 2.7 (since 0.00300 has 3 significant figures, the final answer is rounded to 3 significant figures)
- (b) 8.88 ÷ 99.40 = 0.0893 (since 99.40 has 4 significant figures, the final answer is rounded to 4 significant figures)
- (c) (7.120 x 10^-3) ÷ (6.000 x 10^-5) = 118.7 (since 6.000 has 4 significant figures, the final answer is rounded to 4 significant figures)
- (d) (5.92 x 10^3) x 3.87 ÷ 100 = 2.29 x 10^2 (since 3.87 has 3 significant figures and is the least precise, the final answer is rounded to 3 significant figures)