Metric ConversionsMetric Conversions

September 4, 2014September 4, 2014

ObjectivesObjectives

1.1. Draw the metric staircaseDraw the metric staircase

2.2. Understand powers of 10Understand powers of 10

3.3. Practice Metric ConversionsPractice Metric Conversions

Metric SystemMetric System based on a base unit that corresponds based on a base unit that corresponds

to a certain kind of measurementto a certain kind of measurement Length = meterLength = meter Volume = literVolume = liter Weight (Mass) = gramWeight (Mass) = gram

Prefixes plus base units make up the Prefixes plus base units make up the metric system metric system – Example:Example:

Centi + meter = CentimeterCenti + meter = Centimeter Kilo + liter = KiloliterKilo + liter = Kiloliter

Metric SystemMetric System These prefixes are based on the power of 10These prefixes are based on the power of 10

From each prefix every “step” is either From each prefix every “step” is either – 10 times bigger10 times bigger

or or

-- 10 times smaller-- 10 times smaller

KKids ids HHate ate DDoing oing MMath ath DDuring uring CChristmas hristmas MMorningorning

KKiloilo HHectectoo

DDekaekaLiterLiter

MMeteeterr

GramGram

DDecieci CCentienti MMilliilli

For ExampleFor Example

Centimeters are 10 times bigger than Centimeters are 10 times bigger than millimetersmillimeters

Therefore it takes MORE millimeters to Therefore it takes MORE millimeters to make the same lengthmake the same length

1 Centimeter = 10 millimeters1 Centimeter = 10 millimeters

KiloKilo HectoHecto DekaDekaLiterLiter

MeterMeter

GramGramDeciDeci CentiCenti MilliMilli

KILO1000Units

HECTO100

Units

DEKA10

UnitsDECI

0.1Unit

CENTI0.01Unit

MILLI0.001Unit

MetersLitersGrams

Ladder Method

How do you use the “ladder” method?

1st – Determine your starting point.

2nd – Count the “jumps” to your ending point.

3rd – Move the decimal the same number of jumps in the same direction.

4 km = _________ m

12

3

How many jumps does it take?

Starting Point Ending Point

4.1

__.2

__.3

__. = 4000 m

Metric StaircaseMetric Staircase Move the decimal place one place for each Move the decimal place one place for each

“step”“step”

1 m = _________ cm?1 m = _________ cm?

11.. meter meter

= 10= 10.. Decimeters Decimeters

= 100= 100.. Centimeters Centimeters

KiloKilo HectoHecto DekaDekaLiterLiter

MeterMeter

GramGramDeciDeci CentiCenti MilliMilli

Now try Meters to KilometersNow try Meters to Kilometers(Remember it’s to the left now)(Remember it’s to the left now)

1 Meter 1 Meter

= = ..1 Dekameters 1 Dekameters

= = ..01 Hectometers 01 Hectometers

= = ..001 001 KiloMetersKiloMeters

KiloKilo HectoHecto DekaDekaLiterLiter

MeterMeter

GramGramDeciDeci CentiCenti MilliMilli

RememberRemember

For every move to the For every move to the rightright you move you move the decimal to the the decimal to the rightright

For every move to the For every move to the leftleft you move the you move the decimal to the decimal to the leftleft

KiloKilo HectoHecto DekaDekaLiterLiter

MeterMeter

GramGramDeciDeci CentiCenti MilliMilli

Try these conversions using the ladder method.

10 mg = _______ g 0.1 L = _______ mL 1.60 cm = _______ mm

1.4 km = _______ m 10.9 g = _______ kg 2500 m = _______ km

Conversion Practice

Compare using <, >, or =.

5.6 cm 60 m 70 g 69.8 mg

More PracticeMore Practice

3.68 kg = ____________ g3.68 kg = ____________ g

568 cm = ____________m568 cm = ____________m

8700 mL = ___________L8700 mL = ___________L

25 mg = ____________g25 mg = ____________g

More PracticeMore Practice

0.101cm = _____________mm0.101cm = _____________mm

250mL = _____________L250mL = _____________L

600 g = _____________kg600 g = _____________kg

8900mm = _____________m8900mm = _____________m

More PracticeMore Practice

0.000004 m = ____________mm0.000004 m = ____________mm

0.250 kg = _____________mg0.250 kg = _____________mg