Question

State how many significant figures are proper in the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01); (b) (18.7)2; (c) (1.60×10−19)(3712)

a) (a) 3 (b) 3 (c) 3
b) (a) 3 (b) 3 (c) 3
c) (a) 3 (b) 3 (c) 3

Answer 1

In calculations involving significant figures, the result should be reported with the same number of significant figures as the measurement with the fewest significant figures in the calculation.

Step-by-step explanation:

In calculations involving significant figures, the result should be reported with the same number of significant figures as the measurement with the fewest significant figures in the calculation. Let's go through each calculation:

(a) (106.7)(98.2)/(46.210)(1.01): This calculation has measurements with 4, 3, 5, and 3 significant figures. The measurement with the fewest significant figures is 3, so the result should be reported with 3 significant figures.

(b) (18.7)²: Squaring a number does not change the number of significant figures. The measurement here has 3 significant figures, so the result should be reported with 3 significant figures.

(c) (1.60 × 10^-19)(3712): This calculation has measurements with 3 and 4 significant figures. The measurement with the fewest significant figures is 3, so the result should be reported with 3 significant figures.