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Five-Minute Check (over Lesson 6–4) Main Idea and Vocabulary Example 1: Convert Units in the Metric System Example 2: Convert Units in the Metric System Example 3: Real-World Example Key Concept: Customary and Metric Relationships Example 4: Convert Between Measurement Systems Example 5: Convert Between Measurement Systems Example 6: Real-World Example Lesson Menu

Change metric units of length, capacity, and mass. Metric System: a decimal system of measures. Meter: the base unit of length (m). Liter: is the base unit of capacity (L). Gram: measures mass (g). Kilogram: The prefix for the base unit of mass (kg) Main Idea/Vocabulary

Convert Units in the Metric System Complete 7.2 m = ? mm. To convert from 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. 7.2 m = 7,200 mm To multiply 7.2 × 1000, move the decimal point 3 places to the right. Answer: 7,200 mm Example 1

Complete 7.5 m = ? cm. A. 0.75 B. 75 C. 750 D. 7,500 A B C D Example 1

Convert Units in the Metric System Complete 40 cm = ? m. To convert from centimeters to meters, use the relationship 1 cm = 0.01 m. 1 cm = 0.01 m Write the relationship. 40 × 1 cm = 40 × 0.01 m Multiply each side by 40. 40 cm = 0.40 m To multiply 40 × 0.01, move the decimal point 2 places to the left. Answer: 0.40 m Example 2

Complete 3,400 mm = ? m. A. 0.034 B. 0.34 C. 3.4 D. 340 A B C D Example 2

1 L = 1,000 mL Write the relationship. FARMS A bucket holds 12.8 liters of water. Find the capacity of the bucket in milliliters. To convert from liters to milliliters, use the relationship 1 L = 1,000 mL. 1 L = 1,000 mL Write the relationship. 12.8 × 1 L = 12.8 × 1,000 mL Multiply each side by 12.8. 12.8 L = 12,800 mL To multiply 12.8 × 1000, move the decimal point 3 places to the right. Answer: 12,800 mL Example 3

BOOKS A box of textbooks has a mass of 32,850 grams BOOKS A box of textbooks has a mass of 32,850 grams. What is the mass of the box in kilograms? A. 0.3285 kg B. 3.285 kg C. 32.85 kg D. 328.5 kg A B C D Example 3

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Convert Between Measurement Systems Convert 7.13 miles to kilometers. Round to the nearest hundredth if necessary. Use the relationship 1 mile  1.61 kilometers. 1 mile  1.61 km Write the relationship. 7.13 × 1 mile  7.13 × 1.61 km Multiply each side by 7.13 since you have 7.13 miles. 7.13 miles  11.4793 km Simplify. Answer: So, 7.13 miles is approximately 11.48 kilometers. Example 4

Convert 8. 15 gallons to liters Convert 8.15 gallons to liters. Round to the nearest hundredth if necessary. (1 gal  3.79 L) A. 2.15 L B. 30.89 L C. 215 L D. 309.1 L A B C D Example 4

Convert Between Measurement Systems Convert 925.48 grams to pounds. Round to the nearest hundredth if necessary. Since 1 pound  453.6 grams, multiply by . Multiply by . Simplify. Answer: So, 925.48 grams is approximately 2.04 lb. Example 5

Convert 5. 75 meters to yards Convert 5.75 meters to yards. Round to the nearest hundredth if necessary. (1 yd = 0.91 m) A. 6.32 yd B. 5.23 yd C. 0.632 yd D. 0.54 yd A B C D Example 5

1 ft  030 m Write the relationship. FARMS Pike’s Peak near Colorado Springs, Colorado rises to a height that is 14,110 feet above sea level. About how many meters high is Pike’s Peak? Since the height above sea level is 14,110 feet, use the relationship 1 ft  0.30 m. 1 ft  030 m Write the relationship. 14,110 × 1 ft  14,110 × 0.30 m Multiply each side by 14,110 since you have 14,110 ft. 14,110 ft  4,233 m Simplify. Answer: So, Pike’s Peak is about 4,233 meters high. Example 6

ANIMALS A grazing hippopotamus may eat up to 150 pounds of grass per night. About how many kilograms do they eat? (1 lb  0.4536 kg) A. 330.69 kg B. 33.07 kg C. 680.4 kg D. 68.04 kg A B C D Example 6

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Five-Minute Check (over Lesson 6–4) Image Bank Math Tools Scale Drawings Using Proportions Resources

If 1,760 yards = 1 mile, then 4 miles = yards. (over Lesson 6-4) Complete 21 ft = __ yd. Complete 160 oz = __ lb. Complete = __ ft. Complete 2 c = __ fluid oz. Stella lives 2 miles from school. How many feet from the school does Stella live? A B C D If 1,760 yards = 1 mile, then 4 miles = yards. Five Minute Check 1

Complete 21 ft = __ yd. A. 3 B. 7 C. 15 D. 63 (over Lesson 6-4) A B C Five Minute Check 1

Complete 160 oz = __ lb. A. 10 B. 20 C. 40 D. 80 (over Lesson 6-4) A B Five Minute Check 2

(over Lesson 6-4) Complete = __ ft. A. 3,960 B. 5,280 C. 6,600 D. 9,240 A B C D Five Minute Check 3

Complete 2 c = __ fluid oz. A. 32 B. 16 C. 8 D. 4 (over Lesson 6-4) A Five Minute Check 4

(over Lesson 6-4) Stella lives 2 miles from school. How many feet from the school does Stella live? A. 10,560 feet B. 5,280 feet C. 3,520 feet D. 1,760 feet A B C D Five Minute Check 5

If 1,760 yards = 1 mile, then 4 miles = yards. (over Lesson 6-4) If 1,760 yards = 1 mile, then 4 miles = yards. A. B. 4 C. 440 D. 7,040 A B C D Five Minute Check 6

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