Main Idea and New Vocabulary Example 1: Convert Units in the Metric System Example 2: Convert Units in the Metric System Example 3: Real-World Example • Change metric units of length, capacity, and mass. • metric system • gram • meter • kilogram • liter Convert Units in the Metric System Convert 7.2 meters to millimeters. You need to convert meters to millimeters. Use the relationship 1 m = 1,000 mm. 1 m = 1,000 mm Write the relationship. 7.2 × 1 m = 7.2 × 1,000 mm Multiply each side by 7.2 since you have 7.2 meters. 7.2 m = 7,200 mL Answer: 7.2 m = 7,200 mL To multiply 7.2 by 1,000, move the decimal point 3 places to the right. Convert 1.2 liters to milliliters. A. 12 mL B. 120 mL C. 1,200 mL D. 12,000 mL Convert Units in the Metric System Convert 40 centimeters to meters. You need to convert centimeters to meters. Use the relationship 1 cm = 0.01 m. 1 cm = 0.01 mm Write the relationship. 40 × 1 cm = 40 × 0.01 mm Multiply each side by 40 since you have 40 centimeters. 40 cm = 0.4 m Answer: 40 cm = 0.4 m To multiply 40 by 0.01, move the decimal point 2 places to the left. Convert 15 kilograms to grams. A. 0.015 g B. 0.15 g C. 1.5 g D. 150 g FARMS A bucket holds 1.28 liters of water. Find the capacity of the bucket in milliliters. You are converting liters to milliliters. Since the bucket holds 1.28 liters, use the relationship 1 L = 1,000 mL. 1 L = 1,000 mL Write the relationship. 1.28 × 1 L = 1.28 × 1,000 mL Multiply each side by 1.28 since you have 1.28 liters. 1.28 L = 1,280 mL To multiply 1.28 by 1,000, move the decimal point 3 places to the right. Answer: The capacity of the bucket is 1,280 milliliters. GARDENING Sarah has 7.6 kilograms of top soil for her flower bed. How many grams of top soil does she have? A. 76,000 g B. 7,600 g C. 760 g D. 76 g