Metric Conversions

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Metric Conversions

• Math 314

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Time Frame

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

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Converting Measurement

• King
• Henry
• Died
• Mother
• Didnt
• Care
• Much

km hm dam m dm cm mm
/10
10
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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.

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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

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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

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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

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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

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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.

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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
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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

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More Practice

• 14 m3 ? L
• 1 step down 14 x 103 14000 dm3
• 14000 dm3 14000 l (cross the bridge)