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Metric Conversions

Metric Conversions. Math 314. Time Frame. 1) Conversion Measurement 2) Converting Area 3) Converting Volume 4) Litres. Converting Measurement. King Henry Died Mother Didn’t Care Much. km hm dam m dm cm mm. /10. *10. Notes.

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Metric Conversions

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  1. Metric Conversions Math 314

  2. Time Frame • 1) Conversion Measurement • 2) Converting Area • 3) Converting Volume • 4) Litres

  3. Converting Measurement King Henry Died Mother Didn’t Care Much km hm dam m dm cm mm /10 *10

  4. Notes • When converting a measurement from 1 unit to another • a) when going up the chart (ex. dm  km), divide by 10 once for every step you go. This will move your decimal point one place to the left for every step.

  5. Example #1 • Convert 643 cm into meters • How many steps are you moving? • 2 steps • Dividing or multiplying? Decimal place to the left or right? • Dividing & moving to the left • 2 steps 643 cm  6.43 metres

  6. Notes • When going down the chart (ex. m to mm), multiply by 10 once for every step. This will move your decimal one place to the right for every step. • Example 6km = ? M • 3 steps 6km  6000 m

  7. Converting Area • To change “squared” units into other “squared” units, multiply or divide by 102 for every step • Ex. #1: 2.4 m2 ? cm2 • 2 steps down; 2.4 x 102x102 = 24,000 cm2 • Ex. #2: 63000 mm2 dm2 • 2 steps up; 63000 / 102 / 102 = 6.3 dm2

  8. Converting Volume • To change “cubed” units into other “cubed” units, multiply or divide by 103 for every step. • Ex. #1) 25 cm3 = ? mm3 • 1 step down; 25 x 103 = 2500 mm3

  9. Litres • Litres are measures of volume • 1 l = 1 dm3 • 1 ml = 1 cm3 • There are 1000 ml in 1 liter • You can be asked to convert cubic units into litres. What will you do? • Change into dm3 or cm3, then “cross the bridge”.

  10. Crossing the Bridge 1 m3 1 l 1 dm3 1 dl 1 l 1 ml 1 cm3 You may “cross the bridge at 1dm3 to 1 l or 1 cm3 to 1 ml or vice versa; these can be considered transfer points. If you do it anywhere else, you shall be eaten alive by the tiger! 1 mm3

  11. Practice • Example #1: 85000 mm3 = ? l • 1 step up 85000 mm3 / 103 = 85 cm3 • 85 cm3 = 85 ml (cross the bridge) • 85 ml = ? l • 3 steps up; 85 / 10 / 10 / 10 = 0.085 l

  12. More Practice • 14 m3 = ? L • 1 step down 14 x 103 = 14000 dm3 • 14000 dm3 = 14000 l (cross the bridge)

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