Metric Conversions Metric Conversions

Math 314Math 314

Time FrameTime Frame 1) Conversion Measurement1) Conversion Measurement 2) Converting Area2) Converting Area 3) Converting Volume3) Converting Volume 4) Litres 4) Litres

Converting MeasurementConverting MeasurementKingKingHenryHenryDiedDiedMother Mother Didn’t Didn’t Care Care MuchMuch

kmkmhmhmdamdamm m dm dm cmcmmmmm

/10 *10

NotesNotes When converting a measurement When converting a measurement

from 1 unit to another from 1 unit to another a) when going up the chart (ex. dm a) when going up the chart (ex. dm

km), divide by 10 once for every km), divide by 10 once for every step you go. This will move your step you go. This will move your decimal point one place to the left for decimal point one place to the left for every step.every step.

Example #1Example #1 Convert 643 cm into metersConvert 643 cm into meters How many steps are you moving?How many steps are you moving? 2 steps2 steps Dividing or multiplying? Decimal Dividing or multiplying? Decimal

place to the left or right?place to the left or right? Dividing & moving to the leftDividing & moving to the left 2 steps 643 cm 2 steps 643 cm 6.43 metres 6.43 metres

NotesNotes When going down the chart (ex. m to When going down the chart (ex. m to

mm), mm), multiplymultiply by 10 once for every by 10 once for every step. This will move your decimal one step. This will move your decimal one place to the right for every step. place to the right for every step.

Example 6km = ? MExample 6km = ? M 3 steps 6km 3 steps 6km 6000 m 6000 m

Converting AreaConverting Area To change “squared” units into other To change “squared” units into other

“squared” units, multiply or divide by “squared” units, multiply or divide by 101022 for every step for every step

Ex. #1: 2.4 mEx. #1: 2.4 m22 ? cm ? cm22

2 steps down; 2.4 x 102 steps down; 2.4 x 1022x10x1022 = 24,000 = 24,000 cmcm22

Ex. #2: 63000 mmEx. #2: 63000 mm22 dm dm22

2 steps up; 63000 / 102 steps up; 63000 / 1022 / 10 / 1022 = 6.3 dm = 6.3 dm2 2

Converting VolumeConverting Volume To change “cubed” units into other To change “cubed” units into other

“cubed” units, multiply or divide by “cubed” units, multiply or divide by 101033 for every step. for every step.

Ex. #1) 25 cmEx. #1) 25 cm33 = ? mm = ? mm33

1 step down; 25 x 101 step down; 25 x 1033 = 2500 mm = 2500 mm33

LitresLitres Litres are measures of volumeLitres are measures of volume 1 l = 1 dm1 l = 1 dm33

1 ml = 1 cm1 ml = 1 cm33

There are 1000 ml in 1 literThere are 1000 ml in 1 liter You can be asked to convert cubic You can be asked to convert cubic

units into litres. What will you do?units into litres. What will you do? Change into dmChange into dm33 or cm or cm33, then “cross , then “cross

the bridge”. the bridge”.

Crossing the BridgeCrossing the Bridge

1 dm3

1 m3

1 cm3

1 mm3

1 ml1 l1 dl1 l

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!

PracticePractice Example #1: 85000 mmExample #1: 85000 mm33 = ? l = ? l 1 step up 85000 mm1 step up 85000 mm33 / 10 / 1033 = 85 cm = 85 cm33

85 cm85 cm33 = 85 ml (cross the bridge) = 85 ml (cross the bridge) 85 ml = ? l 85 ml = ? l 3 steps up; 85 / 10 / 10 / 10 = 0.085 l 3 steps up; 85 / 10 / 10 / 10 = 0.085 l

More PracticeMore Practice 14 m3 = ? L 14 m3 = ? L 1 step down 14 x 101 step down 14 x 1033 = 14000 dm = 14000 dm33

14000 dm14000 dm33 = 14000 l (cross the = 14000 l (cross the bridge)bridge)