196k views
2 votes
Which of the answers for the following conversions contains the correct number of significant figures?

a. 24.95 min × 1 h/60 min = 0.4158 h
b. 12.0ft × 12 in/1 ft × 2.54 cm/1 in = 370 cm
c. 24.0 kg × 1 lb/2.205 kg = 11 lb
d. 2 L × 1.057 qt/1 L = 2.12 qt
e. 2.543 m × 39.37 in/1 m = 100.1944 in

1 Answer

7 votes

Final answer:

The conversion with the correct number of significant figures is option a. 24.95 min × 1 h/60 min = 0.4158 h.

Step-by-step explanation:

The correct number of significant figures is determined by the conversion factor with the least number of significant figures. Let's analyze each option:

a. 24.95 min × 1 h/60 min = 0.4158 h - This has 4 significant figures since 24.95 has 4 significant figures.

b. 12.0 ft × 12 in/1 ft × 2.54 cm/1 in = 370 cm - This has 3 significant figures since 12.0 only has 3 significant figures.

c. 24.0 kg × 1 lb/2.205 kg = 11 lb - This has 2 significant figures since 24.0 only has 3 significant figures.

d. 2 L × 1.057 qt/1 L = 2.12 qt - This has 3 significant figures since 2 L only has 1 significant figure.

e. 2.543 m × 39.37 in/1 m = 100.1944 in - This has 7 significant figures since 2.543 has 4 significant figures.

Therefore, the conversion with the correct number of significant figures is option a. 24.95 min × 1 h/60 min = 0.4158 h.

User MichaelThePotato
by
9.3k points