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A B C D. Complete = __ ft. If 1,760 yards = 1 mile, then 4 miles = yards. (over Lesson 6-4). Complete 21 ft = __ yd. Complete 160 oz = __ lb. Complete 2 c = __ fluid oz. Stella lives 2 miles from school. How many feet from the school does Stella live?.
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A B C D Complete = __ ft. If 1,760 yards = 1 mile, then 4 miles = yards. (over Lesson 6-4) Complete 21 ft = __ yd. Complete 160 oz = __ lb. Complete 2 c = __ fluid oz. Stella lives 2 miles from school. How many feet from the school does Stella live? Five Minute Check 1
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: the base unit of capacity (L). • Gram: measures mass (g). • Kilogram: the base unit of mass (kg) Main Idea/Vocabulary
Complete 7.2 m = ? mm. Convert Units in the Metric System 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
A B C D Complete 7.5 m = ? cm. A. 0.75 B. 75 C. 750 D. 7,500 Example 1
Complete 40 cm = ? m. Convert Units in the Metric System 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
A B C D Complete 3,400 mm = ? m. A. 0.034 B. 0.34 C. 3.4 D. 340 Example 2
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
A B C D 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 Example 3
Convert 7.13 miles to kilometers. Round to the nearest hundredth if necessary. Convert Between Measurement Systems 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
A B C D 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 Example 4
Convert 925.48 grams to pounds. Round to the nearest hundredth if necessary. Since 1 pound 453.6 grams, multiply by . Multiply by . Simplify. Convert Between Measurement Systems Answer: So, 925.48 grams is approximately 2.04 lb. Example 5
A B C D 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 Example 5
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
A B C D ANIMALSA 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 Example 6
Today’s Homework Page 307: 10-38 EVENS SHOW ALL YOUR WORK!!!! Main Idea/Vocabulary
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