10/22 Practice Problems

Significant Figures, Scientific Notation & Unit Conversions

Category 1 Significant Figures

Problem 1

How many significant figures are in the following measurement: 0.00450 m

Problem 2

Perform the following calculation with correct significant figures: \(12.3 + 4.56 + 0.789\)

Problem 3

Perform the following calculation with correct significant figures: \(8.314 \times 2.5\)

Problem 4

How many significant figures are in: 5,280 ft (where the zero is NOT a placeholder)?

Problem 5

Perform the following calculation with correct significant figures: \(\frac{45.6}{1.2}\)

Category 2 Scientific Notation

Problem 6

Convert to scientific notation with 3 significant figures: 0.000845

Problem 7

Convert to scientific notation with 2 significant figures: 67,000

Problem 8

Convert from scientific notation to standard form: \(3.45 \times 10^{-4}\)

Problem 9

Convert from scientific notation to standard form: \(9.2 \times 10^{6}\)

Problem 10

Convert to scientific notation with 4 significant figures: 1,234,000

Category 3 Single-Step Unit Conversions

Problem 11

Convert 15 feet to inches. (1 ft = 12 in)

Problem 12

Convert 3.5 kilograms to grams. (1 kg = 1000 g)

Problem 13

Convert 250 centimeters to meters. (1 m = 100 cm)

Problem 14

Convert 4 gallons to quarts. (1 gal = 4 qt)

Problem 15

Convert 96 ounces to pounds. (1 lb = 16 oz)

Category 4 Multi-Step Unit Conversions

Problem 16

Convert 2 miles to inches. (1 mile = 5280 ft, 1 ft = 12 in)

Problem 17

Convert 5 pounds to grams. (1 lb = 16 oz, 1 oz = 28.35 g)

Problem 18

Convert 3 gallons to cups. (1 gal = 4 qt, 1 qt = 2 pt, 1 pt = 2 cups)

Problem 19

Convert 10,000 centimeters to miles. (1 m = 100 cm, 1 m = 3.2808 ft, 1 mile = 5280 ft)

Problem 20

Convert 72 fluid ounces to liters. (1 fl oz = 29.575 mL, 1 L = 1000 mL)