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Transparency 8. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 8-6b. Objective. Change metric units of length, capacity, and mass. Example 8-6b. Vocabulary. Meter. The base unit of length in the metric system. Example 8-6b. Vocabulary.

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  1. Transparency 8 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 8-6b Objective Change metric units of length, capacity, and mass

  4. Example 8-6b Vocabulary Meter The base unit of length in the metric system

  5. Example 8-6b Vocabulary Metric System A base-ten system of measurement using the base units: Meter length Kilogram mass Liter capacity

  6. Example 8-6b Vocabulary Gram Measures mass (the amount of matter in an object)

  7. Example 8-6b Vocabulary Kilogram The base unit of mass

  8. Example 8-6b Vocabulary Liter The metric measure for capacity (the amount of dry or liquid material an object can hold)

  9. Lesson 8 Contents Example 1Convert Units of Length Example 2Convert Units of Length Example 3Convert Units of Mass Example 4Convert Units of Mass Example 5Convert Units of Capacity Example 6Convert Units of Capacity

  10. Complete 28 cm mm. Example 8-1a Write conversion formula What you know  Conversion Ratio 1 Replace what you know Bring down the 1  28 cm mm  Begin with unit of measure you are converting to cm 1 Put the unit of measure of what you know in the denominator 1/6

  11. Complete 28 cm mm. Example 8-1a Find your base unit of measure 1,000 mm 28 cm  cm 1 mm = millimeter cm = centimeter Meter is your base measure Determine how many millimeters are in a meter The prefix “milli” means 1,000 So place 1,000 next to mm 1/6

  12. Complete 28 cm mm. Example 8-1a 1,000 mm 28 cm Determine how many centimeters are in a meter  cm 100 1 The prefix “centi” means 100 So place 100 next to cm Cancel out units that are the same in the numerator as in the denominator 1/6

  13. Complete 28 cm mm. Example 8-1a Follow order of operations P E MD AS 1,000 mm 28  Remember: Fraction bar is a grouping symbol 100 1 28,000 28,000 mm Multiply the numerators 28  1,000 100 Bring down the mm Multiply the denominators 1/6

  14. Complete 28 cm mm. Example 8-1a Remember: Fraction bar means division 28,000 mm 100 Divide 28,000 by 100 280 280 mm Bring down the mm Answer: 280 mm 1/6

  15. Complete 3,400 mm cm. Example 8-1b Answer: 340 cm 1/6

  16. Complete 438 cm m. Example 8-2a Write conversion formula What you know Conversion Ratio  1 Replace what you know Bring down the 1  438 cm m  cm 1 Begin with unit of measure you are converting to Put the unit of measure of what you know in the denominator 2/6

  17. Complete 438 cm m. Example 8-2a Find your base unit of measure 1 438 cm m  m = meter cm = centimeter cm 1 1 Meter is your base measure Determine how many meters are in a meter Since meter is the base then there is 1 meter in a meter So place 1 next to m 2/6

  18. Complete 438 cm m. Example 8-2a Determine how many centimeters are in a meter 1 438 cm m  cm 100 1 The prefix “centi” means 100 So place 100 next to cm Cancel out units that are the same in the numerator as in the denominator 2/6

  19. Complete 438 cm m. Example 8-2a Follow order of operations P E MD AS 1 438 m  Remember: Fraction bar is a grouping symbol 100 1 438 m 438 Multiply the numerators 438  1 100 Bring down the m Multiply the denominators 2/6

  20. Complete 438 cm m. Example 8-2a Remember: Fraction bar means division 438 m 100 Divide 438 by 100 4.38 m 4.38 m Bring down the m Answer: 4.38 m 2/6

  21. Complete 7.5 m cm. Example 8-2b Answer: 750 cm 2/6

  22. Complete 72 g mg. Example 8-3a Write conversion formula What you know  Conversion Ratio 1 Replace what you know Bring down the 1  72 g mg  g 1 Begin with unit of measure you are converting to Put the unit of measure of what you know in the denominator 3/6

  23. Complete 72 g mg. Example 8-3a Find your base unit of measure 1,000 72 g mg  mg = milligram g = gram g 1 Gram is your base measure Determine how many milligrams are in a gram The prefix “milli” means 1,000 So place 1,000 next to mg 3/6

  24. Complete 72 g mg. Example 8-3a Determine how many grams are in a gram 1,000 72 g mg  g 1 1 Since meter is the base then there is 1 gram in a gram So place 1 next to g Cancel out units that are the same in the numerator as in the denominator 3/6

  25. Complete 72 g mg. Example 8-3a Follow order of operations P E MD AS 1,000 72 mg  Remember: Fraction bar is a grouping symbol 1 1 72,000 mg 72,000 Multiply the numerators 72  1,000 1 Bring down the mg Multiply the denominators 3/6

  26. Complete 72 g mg. Example 8-3a Remember: Fraction bar means division 72,000 mg 1 Divide 72,000 by 1 72,000 72,000 mg Bring down the mg Answer: 72,000 mg 3/6

  27. Complete 4,550 mg g. Example 8-3b Answer: 4.55 g 3/6

  28. Complete 202 g kg. Example 8-4a Write conversion formula What you know  Conversion Ratio 1 Replace what you know Bring down the 1  202 g kg  g 1 Begin with unit of measure you are converting to Put the unit of measure of what you know in the denominator 4/6

  29. Complete 202 g kg. Example 8-4a Find your base unit of measure 1 202 g kg  kg = kilogram g = gram g 1,000 1 Gram is your base measure Kilogram is your biggest unit so place a 1 next to kg Determine how many grams in 1 kilogram Place 1,000 next to g 4/6

  30. Complete 202 g kg. Example 8-4a Cancel out units that are the same in the numerator as in the denominator Follow order of operations 1 202 g kg  P E MD AS g 1 1,000 Remember: Fraction bar is a grouping symbol 202 202 kg 1,000 Multiply the numerators 202  1 Bring down the kg Multiply the denominators 4/6

  31. Complete 202 g kg. Example 8-4a Remember: Fraction bar means division 202 kg 1,000 Divide 202 by 1,000 0.202 0.202 kg Bring down the kg Answer: 0.202 kg 4/6

  32. Complete 6.25 kg g. Example 8-4b Answer: 6,250 g 4/6

  33. Complete 2 L mL. Example 8-5a Write conversion formula What you know  Conversion Ratio 1 Replace what you know Bring down the 1  2 L mL  L 1 Begin with unit of measure you are converting to Put the unit of measure of what you know in the denominator 5/6

  34. Complete 2 L mL. Example 8-5a Find your base unit of measure mL = milliliter L = liter 1,000 2 L mL  1 L 1 Liter is your base measure Determine how many milliliters are in a liter The prefix “milli” means 1,000 So place 1,000 next to mL Since meter is the base then there is 1 gram in a gram 5/6

  35. Complete 2 L mL. Example 8-5a Cancel out units that are the same in the numerator as in the denominator Follow order of operations 1,000 2 L mL  P E MD AS L 1 1 Remember: Fraction bar is a grouping symbol 2,000 2,000 mL 1 Multiply the numerators 2  1,000 Bring down the mL Multiply the denominators 5/6

  36. Complete 2 L mL. Example 8-5a Remember: Fraction bar means division 2,000 mL 1 Divide 2,000 by 1 2,000 2,000 mL Bring down the mL Answer: 2,000 mL 5/6

  37. Complete 450 mL L. Example 8-5b Answer: 0.45 L 5/6

  38. Complete 2.4 kL L. Example 8-6a Write conversion formula What you know  Conversion Ratio 1 Replace what you know Bring down the 1  2.4 kL L  kL 1 Begin with unit of measure you are converting to Put the unit of measure of what you know in the denominator 6/6

  39. Complete 2.4 kL L. Example 8-6a Find your base unit of measure kL = kiloliter L = liter 2.4 kL 1,000 L  1 1 kL Liter is your base measure Kiloliter is your biggest unit so place a 1 next to kL Determine how many liters are in a kiloliter Place 1,000 next to L 6/6

  40. Complete 2.4 kL L. Example 8-6a Cancel out units that are the same in the numerator as in the denominator Follow order of operations 2.4 kL 1,000 L  P E MD AS 1 1 kL Remember: Fraction bar is a grouping symbol 2,400 2,400 L 1 Multiply the numerators 2.4  1,000 Bring down the L Multiply the denominators 6/6

  41. Complete 2.4 kL L. Example 8-6a Remember: Fraction bar means division 2,400 L 1 Divide 2,400 by 1 2,400 2,400 L Bring down the L Answer: 2,400 L 6/6

  42. Complete 95.3 L kL. Example 8-6b * Answer: 0.0953 kL 6/6

  43. End of Lesson 8 Assignment

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