Converting Metric Units for 5th Grade: Length, Mass, Capacity

Converting metric units is used when measuring length, mass, and capacity in the metric system. In Grade 5, students convert between millimeters, centimeters, meters, and kilometers for length; grams and kilograms for mass; and milliliters and liters for capacity. The metric system is based on powers of 10, so converting is straightforward: multiply or divide by 10, 100, or 1000.

To convert from a smaller unit to a larger unit, divide (e.g., 500 cm ÷ 100 = 5 m). To convert from a larger unit to a smaller unit, multiply (e.g., 2 km × 1000 = 2,000 m). Key prefixes: kilo = 1000, hecto = 100, deka = 10, (base), deci = 0.1, centi = 0.01, milli = 0.001.

DETAILED EXPLANATION

Length: 1 km = 1,000 m; 1 m = 100 cm; 1 cm = 10 mm.

Mass: 1 kg = 1,000 g.

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Capacity: 1 L = 1,000 mL.

Smaller → Larger: divide by the conversion factor.

Larger → Smaller: multiply by the conversion factor.

WORKED EXAMPLES WITH STEP BY STEP SOLUTIONS

Example 1

Convert 500 cm to meters.

Solutions:

Step 1: 1 m = 100 cm. Since centimeters are smaller than meters, we divide.

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Step 2: \(500 \div 100 = 5\).

Step 3: 500 cm = 5 meters.

Answer: 5 meters

Example 2

Convert 2 km to meters.

Solutions:

Step 1: 1 km = 1,000 m. Since kilometers are larger than meters, we multiply.

Step 2: \(2 \times 1{,}000 = 2{,}000\).

Step 3: 2 km = 2,000 meters.

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Answer: 2,000 meters

Example 3

Convert 3,000 g to kilograms.

Solutions:

Step 1: 1 kg = 1,000 g. Divide: \(3{,}000 \div 1{,}000 = 3\).

Step 2: 3,000 g = 3 kilograms.

Answer: 3 kilograms

Example 4

Convert 2.5 L to milliliters.

Solutions:

Step 1: 1 L = 1,000 mL. Multiply: \(2.5 \times 1{,}000 = 2{,}500\).

Answer: 2,500 mL