Dimensional Analysis – Unit Conversions Worksheet 1 Answers

Dimensional Analysis – Factor Labeling Method

1. Convert the following units.

a. 5.392 x 10-5 m to m (1 m = 10-6 m)

b. 7.76 x 108 mg to g (1 mg = 10-3 g)

c. 9.2 x 102 ns to s (1 ns = 10-9 s)

d. 4.91 x 10-12 DL to L (1 DL = 101 L)

2. Convert the following units.

a. 4.29 x 102 cm to pm (1 cm = 10-2 m; 1 pm = 10-12 m)

b. 2.87 x 10-4 Gs to ms (1 Gs = 109 s; 1 ms = 10-3 s)

c. 3.16 x 1012 g to Mg (1 g = 10-6 g; 1 Mg = 106 g)

d. 4.62 x 104 mL to ML (1 mL = 10-3 L; 1 ML = 106 L)

3. Answer the following questions.

a. How many mm are there in 3.56 miles? (1 mile = yards; 1 yard = 3 ft.; 1 ft. = 12 in.; 1 in.

= 2.54 cm; 1 cm = 10-2 m; 1 mm = 10-3 m)

b. How many s are there in 2.5 years? (1 s = 10-6 s; 1 min. = 60 s; 1 hr. = 60 min.; 1

day=24 hr.; 1 yr. = 365 days)

c. Convert 5.98 x104 kg/m3 to g/cm3. (1 kg = 1000 g; 1 m3 = 106 cm3) [Note: very

challenging question. Think hard.]