Using the Factor Label Method. 34,000,000 = 7.29 x 10 5 = 0.3254 = 5.6 x 10 -3 = 3.4 x 10 7 729,000 3.254 x 10 -1 0.005600.

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Presentation transcript:

Using the Factor Label Method

34,000,000 = 7.29 x 10 5 = = 5.6 x = 3.4 x , x

IMPORTANT: MEMORIZE THESE

1 meter = 100 centimeters 1 gram = 1000 miligrams 1 gram = kilograms 1 kilogram = 1000 grams

Changing one unit of measurement to another Converting hours to minutes, for example OR… Miles to kilometers Meters to feet Liters to milliliters Etc…

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…..!!

Multiplication – ok to multiply by “1”

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 cancel Step 3: Multiply the fraction Step 4: Simplify 1000m ×==

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 cancel Step 3: Multiply the fraction Step 4: Simplify X = 3.11 mi =

3 kg 1000 g 3000 g 11 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.

15.2 cm1 m m 1100 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.

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 xx=

Double decker problem Same procedure – just take on deck at a time… Step 1: Start with what you start with It’s already a fraction! (“per” means divide!) Step 2: multiply by a conversion factor Pick 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 = =