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## 9.1 Measuring Length; The Metric System

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**Every measurement needs to have a number and a unit of**measure. Stating that something has a length of 3 is meaningless. It could be 3 feet, 3 meters, 3 light years, 3 rods… The linear units of measure in the English system are: 12 inches = 1 foot 3 feet = 1 yard 5,280 feet = 1 mile (A roman mile was 1,000 paces or 5,000 feet)**Measurements can be changed from one unit to another by**multiplying by unit fractions. 12 inches = 1 foot 3 feet = 1 yard 5,280 feet = 1 mile 12 inches 1 foot 3 feet 1 yard 1 foot 12 inches 1 yard 3 feet 5280 feet 1 mile 1 mile 5280 feet**To convert 3 miles to inches, multiply by unit fractions.**12 inches 1 foot 3 feet 1 yard 1 foot 12 inches 1 yard 3 feet 5280 feet 1 mile 1 mile 5280 feet The miles and feet will cancel leaving inches as the unit of measure.**To convert 3 inches to miles, multiply by unit fractions.**12 inches 1 foot 3 feet 1 yard 1 foot 12 inches 1 yard 3 feet 5280 feet 1 mile 1 mile 5280 feet The inches and feet will cancel leaving miles as the unit of measure.**To convert 4400 yards to miles, multiply by unit fractions.**12 inches 1 foot 3 feet 1 yard 1 foot 12 inches 1 yard 3 feet 5280 feet 1 mile 1 mile 5280 feet The inches and feet will cancel leaving miles as the unit of measure.**Common units for linear measure in the metric system**This chart is found on page 504**The little marks at the top of the ruler are 1 millimeter**apart. The units marked at the top are centimeters. 10 millimeters make 1 centimeter. There are 2.54 centimeters in one inch. 2.54 cm = 1 inch**To convert units within the metric system, multiply or**divide by 10. Multiply by 10 as the units go to the right. Divide by 10 as the units go to the left. 0.1 km =1 hm 0.1 hm =1 dam 0.1 dam =1 m 0.1 m =1 dm 0.1 dm =1 cm 0.1 cm =1 mm km hm dam m dm cm mm 1 km =10 hm 1 hm =10 dam 1 dam =10 m 1 m =10 dm 1 dm =10 cm 1 cm =10 mm**Convert 327.8 meters to kilometers**Divide by 10 as the units go to the left. km hm dam m dm cm mm**Convert 21.7 dekameters to centimeters**Multiply by 10 as the units go to the right. km hm dam m dm cm mm**Convert 483.2 hectometers to millimeters**Multiply by 10 as the units go to the right. km hm dam m dm cm mm**Measurements can be changed from one unit to another by**multiplying by unit fractions. 1 inches = 2.54 cm 1 foot = 30.48 cm 1 yard ≈ 0.9 meter 1 mile ≈ 1.6 kilometers 1 inch 2.54 cm 1 foot 30.48 cm 2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile**1 inch 2.54 cm 1 foot 30.48 cm**2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile Convert 225 miles to kilometers.**1 inch 2.54 cm 1 foot 30.48 cm**2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile Convert 44 yards to meters.**1 inch 2.54 cm 1 foot 30.48 cm**2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile Convert 44 meters to yards.**1 inch 2.54 cm 1 foot 30.48 cm**2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile Convert 34 inches to centimeters.**1 inch 2.54 cm 1 foot 30.48 cm**2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile Convert 75 miles per hour to kilometers per minute.**1 inch 2.54 cm 1 foot 30.48 cm**2.54 cm 1 inch 30.48 cm 1 foot 1 yard 0.9 meter 0.9 meter 1 yard 1 mile 1.6 km 1.6 km 1 mile Convert 15 centimeters per second to miles per hour.