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)

Answer 1

(a) Significant Numbers In 106.7, 98.2, 46.210 and 1.01 are 4, 3, 5 and 3 respectively. least significant number is 3.

so the value of (106.7)(98.2)/(46.210)(1.01) is 224.

(b) Significant Numbers In 18.7 and 2 are 3 and 1 respectively. least significant number is 1.

so the value of (18.7) 2 is 4 * 10¹

(c) Significant Numbers In 1.60, 10, 19 and 3712 are 3, 2, 2 and 4 respectively. least significant number is 2.

so the value of (1.60 × 10 −19 )(3712) is -8.1 * 10^-4