How many significant figures are contained in each of the following measurements?

(a) 53 cm

(b) 2.05 x108 m

(c) 86,002J

(d) 9.740 x 104 m/s

(e) 10.0613 m3

(f) 0.17 g/mL

(g) 0.88400 s

(a) 53 cm - -> 2 significant figures.

(b) 2.05 x10² m - -> 3 significant figures.

(c) 86,002J - -> 5 significant figures.

(d) 9.740 x 10⁴ m/s - -> 4 significant figures.

(e) 10.0613 m³ - -> 6 significant figures.

(f) 0.17 g/mL - -> 2 significant figures.

(g) 0.88400 s - -> 5 significant figures.

Explanation:

Hello,

By considering the following widely rules to determine a measurement's significant figures:

1. Non-zero digits are always taken as significant.

2. All zeros between two significant digits are taken as significant.

3. A final zero or trailing zeros in the decimal portion ONLY are significant.

The significant figures of each case are provided as shown below:

(a) 53 cm - -> 2 significant figures.

(b) 2.05 x10² m - -> 3 significant figures.

(c) 86,002J - -> 5 significant figures.

(d) 9.740 x 10⁴ m/s - -> 4 significant figures.

(e) 10.0613 m³ - -> 6 significant figures.

(f) 0.17 g/mL - -> 2 significant figures.

(g) 0.88400 s - -> 5 significant figures.

Best regards.

A) 2

B) 3

C) 5

D) 4

E) 6

F) 2

G) 5