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Unit Conversion Worksheets

Worked examples and step-by-step problems for converting metric, customary, and SI units. Includes charts for length, mass, volume, and temperature.

Metric Prefix Chart (SI Units)

The metric system uses prefixes based on powers of 10. To convert: multiply when going to a smaller unit, divide when going to a larger unit.

PrefixSymbolFactorExample
Kilok× 1,0001 kg = 1,000 g
Hectoh× 1001 hm = 100 m
Dekada× 101 dam = 10 m
Base—× 1meter, gram, liter
Decid÷ 101 dm = 0.1 m
Centic÷ 1001 cm = 0.01 m
Millim÷ 1,0001 mm = 0.001 m
Microµ÷ 1,000,0001 µg = 0.000001 g

US Customary Units – Conversion Chart

📏 Length

  • 12 inches = 1 foot
  • 3 feet = 1 yard
  • 1,760 yards = 1 mile
  • 5,280 feet = 1 mile

⚖️ Weight

  • 16 ounces = 1 pound
  • 2,000 pounds = 1 short ton
  • 14 pounds = 1 stone (UK)

🧴 Volume

  • 8 fl oz = 1 cup
  • 2 cups = 1 pint
  • 2 pints = 1 quart
  • 4 quarts = 1 gallon

Worked Problems – Step by Step

Metric Length

Convert 4.5 km to meters

Step 1: 1 km = 1,000 m

Step 2: 4.5 × 1,000 = 4,500

✓ 4,500 m

Metric Mass

Convert 2,300 grams to kilograms

Step 1: 1 kg = 1,000 g

Step 2: 2,300 ÷ 1,000 = 2.3

✓ 2.3 kg

Metric Volume

Convert 850 mL to liters

Step 1: 1 L = 1,000 mL

Step 2: 850 ÷ 1,000 = 0.85

✓ 0.85 L

Derived → Grams

Convert masses to grams: 3.2 kg, 450 mg

Step 1: 3.2 × 1,000 = 3,200 g

Step 2: 450 ÷ 1,000 = 0.45 g

✓ 3,200 g and 0.45 g

Derived → Liters

Convert volumes to liters: 2,500 mL, 0.8 m³

Step 1: 2,500 ÷ 1,000 = 2.5 L

Step 2: 0.8 × 1,000 = 800 L

✓ 2.5 L and 800 L

Customary Length

Convert 5 feet to inches

Step 1: 1 ft = 12 in

Step 2: 5 × 12 = 60

✓ 60 inches

Customary Volume

Convert 3 gallons to cups

Step 1: 1 gal = 4 qt = 8 pt = 16 cups

Step 2: 3 × 16 = 48

✓ 48 cups

Customary Weight

Convert 3.5 pounds to ounces

Step 1: 1 lb = 16 oz

Step 2: 3.5 × 16 = 56

✓ 56 oz

Frequently Asked Questions

How do you convert metric units step by step?

Identify the starting unit → find the conversion factor → multiply (smaller unit) or divide (larger unit). Example: 3.5 km → meters: 3.5 × 1,000 = 3,500 m.

How do you convert derived units to grams?

1 kg = 1,000 g | 1 mg = 0.001 g | 1 µg = 0.000001 g | 1 metric ton = 1,000,000 g. Multiply kg × 1,000, divide mg ÷ 1,000.

How do you convert volumes from derived units to liters?

1 mL = 0.001 L | 1 cL = 0.01 L | 1 m³ = 1,000 L. Divide milliliters by 1,000, multiply cubic meters by 1,000.

What is the difference between metric and customary units?

Metric uses powers of 10 (easy multiplication/division). Customary uses irregular factors (12 in = 1 ft, 5,280 ft = 1 mi). Metric is global; customary is primarily used in the US.

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