Question

B. Give the number of significant figures in each of the following a. 1.230 x 104 b. 0.002030 c. 1.23 x 104 d. 1.89 x 10-4​

Answer 1

Answer:

(a). 4

(b). 4

(c). 3

(d). 3

Explanation:

In the question,

(a). 1.230 x 10⁴ :

This number has 4 significant figures shown in the bold figure.

i.e. : 1.230 x 10⁴

(b). 0.002030 :

This number has 4 significant figures shown in the bold figure.

i.e. : 0.002030

(c). 1.23 x 10⁴

This number has 3 significant figures shown in the bold figure.

i.e. : 1.23 x 10⁴

(d). 1.89 x 10⁻⁴

This number has 3 significant figures shown in the bold figure.

i.e. : 1.89 x 10⁻⁴

Because, all the non-zero digits are significant, the zeroes between the non-zero digits are also significant, the zeroes trailing after the the non zero digits in a decimal number are significant.