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9-4

9-4. Converting Metric Units. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 9-4. Converting Metric Units. Course 1. Warm Up Multiply the following by 1,000. 1. 0.0042 2. 38.705 Divide the following by 1,000. 3. 28,039 6. 0.8. 38,705. 4.2. 0.0008. 28.039.

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9-4

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  1. 9-4 Converting Metric Units Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 9-4 Converting Metric Units Course 1 Warm Up Multiply the following by 1,000. 1.0.0042 2. 38.705 Divide the following by 1,000. 3. 28,039 6. 0.8 38,705 4.2 0.0008 28.039

  3. 9-4 Converting Metric Units Course 1 Problem of the Day Richard needs to divide 180 feet of rope equally among the 30 members of his science class. How long will each piece of rope be? 6 feet

  4. 9-4 Converting Metric Units Course 1 Learn to convert metric units of measure.

  5. Another Helpful Hint: King Henry Died Upon Drinking Chocolate Milk… and what does this have to do with the metric system you might ask.. Everything in the metric system is in base ten. Remember, when we multiply or divide by 10, 100, 1000... all we are doing is moving the decimal point. The Ladder Method is a shortcut to consider…

  6. King Henry Died Upon Drinking Chocolate Milk…

  7. King Henry Died Upon Drinking Chocolate Milk… Try these conversions using the ladder method. 1000 mg = _______ g 1 L = _______ mL 160 cm = _______ mm 14 km = _______ m 109 g = _______ kg 250 m = _______ km

  8. Metric Conversion Challenge Write the correct abbreviation for each metric unit. 1) Kilogram _____ 4) Milliliter _____ 7) Kilometer _____ 2) Meter _____ 5) Millimeter _____ 8) Centimeter _____ 3) Gram _____ 6) Liter _____ 9) Milligram _____ Try these conversions, using the ladder method. 10) 2000 mg = _______ g 15) 5 L = _______ mL 20) 16 cm = _______ mm 11) 104 km = _______ m 16) 198 g = _______ kg 21) 2500 m = _______ km 12) 480 cm = _____ m 17) 75 mL = _____ L 22) 65 g = _____ mg 13) 5.6 kg = _____ g 18) 50 cm = _____ m 23) 6.3 cm = _____ mm 14) 8 mm = _____ cm 19) 5.6 m = _____ cm 24) 120 mg = _____ g

  9. 9-4 Converting Metric Units Helpful Hint To decide whether to multiply or divide, think of a simpler model, such as your fingers and your hand. fingers hand smaller unit larger unit ÷ 5 hand fingers larger unit smaller unit x 5 Course 1

  10. 9-4 Converting Metric Units 1.75 m = cm. Course 1 Additional Example 1: SportsApplication The high-jumper cleared a height of 1.75 m. How many centimeters is this height? A centimeter is 2 places to the right of a meter in the chart so 10 • 10, or 102 = 100. 1 m = 100 cm. You are converting a bigger unit to a smaller unit. Multiply by 100. 1.75 m = (1.75 • 100) cm Move the decimal point 2 places to the right. 1.75 m = 175 cm

  11. 9-4 Converting Metric Units 15.5 kg = g Course 1 Check It Out: Example 1 A farmer’s barrel of corn weighs 15.5 kg. How much weight is this in g. A gram is 3 places to the right of a kilogram in the chart so 10 • 10 • 10, or 103 = 1,000. 1 kg = 1000 g. You are converting a bigger unit to a smaller unit. Multiply by 1,000. 15.5 kg = (15.5 • 1,000)g Move the decimal point 3 places to the right. 15.5 kg = 15,500 g

  12. 9-4 Converting Metric Units Caution! Make sure you are multiplying or dividing by the correct power of ten. Course 1 Additional Example 2A: Using Powers of Ten to Convert Metric Units of Measurement Convert. A. The CD case is 14 cm wide. 14 cm = _____ m 100 cm = 1 m, smaller unit to bigger unit, so divide by 100. 14 cm = (14 ÷ 100) m Move the decimal point 2 places to the left. 14 cm = 0.14 m

  13. 9-4 Converting Metric Units Course 1 Additional Example 2: Using Powers of Ten to Convert Metric Units of Measurement Convert. B. The ball of clay has a mass of 4 kg. T 4 kg = _____ g 1 kg = 1,000 g, bigger unit to smaller unit, so multiply by 1,000. 4 kg = (4 • 1,000) g Move the decimal point 3 places to the right. 4 kg = 4,000 g C. The bottle of water contains 0.8 L. T 0.8 L = ____ mL 1 L = 1,000 mL, bigger unit to smaller unit, so multiply by 1,000. 0.8 L = (0.8 • 1,000) mL Move the decimal point 3 places to the right. 0.8 L = 800 mL

  14. 9-4 Converting Metric Units Course 1 Check It Out: Example 2 Convert. A. The picture frame is 90 cm wide. T 90 cm = _____ mm 1 cm = 10 mm, bigger unit to smaller unit, so multiply by 10. 90 cm = (90 • 10) mm Move the decimal point 1 place to the right. 90 cm = 900 mm

  15. 9-4 Converting Metric Units Course 1 Check It Out: Example 2 Convert. B. The foil pizza box has a mass of 80 g.T 80 g = _____ kg 1000 g = 1 kg, smaller unit to bigger unit, so divide by 1,000. 80 g = (80 ÷ 1,000)kg Move the decimal point 3 places to the left. 80 g = 0.08 kg C. The juice box contains 0.4 L.T 0.4 L = ____ mL 1 L = 1,000 mL, bigger unit to smaller unit, so multiply by 1,000. 0.4 L = (0.4 • 1,000) mL Move the decimal point 3 places to the right. 0.4 L = 400 mL

  16. 9-4 Converting Metric Units Course 1 Convert metric measures by using a conversion factor or using proportions.

  17. 9-4 Converting Customary Units Think: 1 m = 100 cm so use . 100 cm 1 m Course 1 Additional Example 3A: Converting Metric Units of Measure Convert. Method 1: Use a conversion factor. 16 m = _____ cm 1,600 cm Multiply 100 cm by 16, the conversion factor. 100 cm m 1 m = 16 m = 1,600 cm

  18. 9-4 Converting Customary Units Course 1 Additional Example 3B: Converting Metric Units of Measure Convert. Method 2: Use proportions. 450 g = _____ kg 450 gx kg 1,000 g m 1 kg Write a proportion. = 1,000x = 450 kg The cross products are equal. Divide both sides by 1,000 to undo the multiplication. x = 0.45 kg

  19. 9-4 Converting Customary Units Think: 1 cm = 10 mm so use . 10 mm 1 cm Course 1 Check It Out: Example 3 Convert. A. Method 1: Use a conversion factor. 4.5 cm = _____ mm Multiply 10 mm by 4.5, the conversion factor. 45 mm 10 mm t 1 cm = 4.5 cm = 45 mm

  20. 9-4 Converting Customary Units Course 1 Check It Out: Example 3 Convert. B. Method 2: Use proportions. 8,500 g = _____ kg 8,500 gtx kg 1,000 g m 1 kg Write a proportion. = The cross products are equal. Divide both sides by 1,000 to undo the multiplication. 1,000x = 8,500 kg x = 8.5 kg

  21. 9-4 Converting Customary Units Course 1 Insert Lesson Title Here Lesson Quiz Convert. 1. A book is 24 cm long. 24 cm = ____ mm 2. The chain has a mass of 16 g. 16 g = _____ mg 3. The volume of the liquid was 12,000 mL. 12,000 mL = ____ L 4. Frank’s paper airplane glided 78.9 m. Sarah’s plane glided 85 m. How many more centimeters did Sarah’s plane glide? 240 16,000 12 610 cm

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