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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 Metric System A base-ten system of measurement using the base units: Meterlength Kilogram mass Litercapacity

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

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

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

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

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

Example 8-1a Complete 28 cm mm. 1/6 Find your base unit of measure 28 cm 1  mm cm 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 1,000

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

Example 8-1a Complete 28 cm mm. 1/  mm1,000 Follow order of operations 100 PEMDAS Remember: Fraction bar is a grouping symbol Multiply the numerators 28  1,000 28,000 Bring down the mm 28,000 mm Multiply the denominators 100

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

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

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

Example 8-2a Complete 438 cm m. 2/6 438 cm 1  m cm Find your base unit of measure m = meter cm = centimeter 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 1 1

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

Example 8-2a Complete 438 cm m. 2/  m Follow order of operations PEMDAS Remember: Fraction bar is a grouping symbol Multiply the numerators 438  m Bring down the m Multiply the denominators 100

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

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

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

Example 8-3a Complete 72 g mg. 3/6 72 g 1  mg g Find your base unit of measure mg = milligram g = gram 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 1,000

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

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

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

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

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

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

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

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

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

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

Example 8-5a Complete 2 L mL. 5/6 2 L 1  mL L Find your base unit of measure mL = milliliter L = liter 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 1,000 Since meter is the base then there is 1 gram in a gram 1

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

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

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

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

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

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

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

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

End of Lesson 8 Assignment Lesson 1:8 Measurement: The Metric System All