Conversions Using t he Factor Label Method Scientific Notation Easier way to write very large and very small numbers 983000000 983 x 10 8 000000983 983 x 10 6 Takes advantage of the fact that ID: 534908
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Slide1
Metric Prefixes & Unit Conversions
Using t
he
Factor Label MethodSlide2
Scientific NotationEasier way to write very large and very small numbers983,000,000 = 9.83 x 10
8
0.00000983 = 9.83 x 10
-6Takes advantage of the fact that:Multiplying by 10, moves the decimal point one place to the right9.83 x 10 = 98.3Dividing by 10, moves the decimal point one place to the right = 0.983
Slide3
Scientific Notation: Practice34,000,000 =
7.29 x 10
5
= 0.3254 =5.6 x 10 -3 =3.4 x 10 7
729,000
3.254 x 10
-1
0.005600Slide4
Metric Prefixes
IMPORTANT: MEMORIZE THESESlide5
Metric Prefixes
1 meter = 100 centimeters
1 gram = 1000
miligrams1 gram = 0.001 kilograms1 kilogram = 1000 gramsSlide6
Unit ConversionsChanging one unit of measurement to anotherConverting hours to minutes, for example
OR…
M
iles to kilometers Meters to feetLiters to millilitersEtc…Slide7
Factor Label Method: How many meters are there in a kilometer?Step 1: Start with what you start with
Turn it into a fraction by placing your known measurement over “1”
Step 2: multiply by a conversion factor
Whoa! HOLD ON…..!!Slide8
Conversion FactorMultiplication – ok to multiply by “1”
Slide9
Factor Label Method: How many meters are there in a kilometer?Step 1: Start with what you start with
Turn it into a fraction by placing your known measurement over “1”
Step 2: multiply by a conversion factor
Numerator to denominator – keep the same units so they cancelStep 3: Multiply the fractionStep 4: Simplify
1000m
×
=
=Slide10
Factor Label Method: How many miles are there in 5 kilometers?
Step 1: Start with what you start with
Turn it into a fraction by placing your known measurement over “1”
Step 2: multiply by a conversion factorNumerator to denominator – keep the same units so they cancelStep 3: Multiply the fractionStep 4: Simplify
X
=
3.11 mi
=Slide11
Again: 1.3 kg = ___ g?
3
kg
1000 g
3000 g
1
1 kg
Start with what you start with and set it over “1”.
Find your conversion factor and insert it so that the original units cancel.
Notice that the kg in my conversion factor is in the denominator to cancel!
Cancel the units, and then multiply the top of the tracks
and then divide by the bottom of the tracks.Slide12
And again: 15.2 cm = ___ m?
15.2
cm
1 m
0.152
m
1
100 cm
Start with what you start with and set it over “1”.
Find your conversion factor and insert it so that the original units cancel.
Notice that the kg in my conversion factor is in the denominator to cancel!
Cancel the units, and then multiply the top of the tracks
and then divide by the bottom of the tracks.Slide13
Again – with a twist: 4300 m = ___ miles?
Start with what you start with and set it over “1”.
Find your conversion factor and insert it so that the original units cancel.
If you don’t have
one conversion factor that gets you to the units you need, see what steps you can take to get there.
2.8 miles
x
x
=Slide14Slide15
Factor Label Method:60 mi/hr is how many km/sec?
Double decker problem
Same procedure – just take on deck at a time…
Step 1: Start with what you start withIt’s already a fraction! (“per” means divide!)Step 2: multiply by a conversion factorPick the numerator or denominator – either one; they both get done anyway…Numerator to denominator – keep the same units so they
cancel
Step 3: Multiply the
fractions
Step 4: Simplify
X
X
X
=
=