DIMENSIONAL ANALYSIS FACTOR-LABEL CONVERSIONS

Basic Measurement A quantitative measurement always consists of a number and a unit. A qualitative observation simply makes a statement. Two major systems are used today: English System – used in US only Metric System (SI SYSTEM) - used by rest of the world

FUNDAMENTAL SI UNITS

CONVERSIONS Use equivalent values to move from one measurement to another 1 dozen eggs = 12 eggs and 12 eggs = 1 dozen Using fractions, this can be expressed: 1 dozen OR 12 eggs 12 eggs 1 dozen

Stair Step method Kilo- (K) 1000 Hecto- (H) 100 Deka- (D) 10 base units Deci- (d).1 Centi- (c).01 Milli- (m).001 Grams, liters, meters If you know left from right AND If you can count …. YOU CAN CONVERT!

PRACTICE mm = ? m km = ? m m Start on mm … Move three …To the Left 6.54 m Start on km… Move three … To the Right

CALCULATE Calculate how many seconds are in a school day (from 8:00 to 3:00). Calculate your height in centimeters. (1 inch = 2.54 cm, 12 inches = 1 foot)

FACTOR-LABEL HINTS START with what is given (amount and unit) END with what you are trying to get to (unit) ALWAYS MAKE SURE YOUR UNITS CANCEL ALONG THE WAY! * Smaller number goes with larger unit. * Larger number goes with smaller unit. 1 elephant = 40,000 mice USE RAILROAD TRACKS!

FACTOR-LABEL EXAMPLE You're throwing a pizza party for 15 people. Each person will eat 4 slices. Each pizza costs $14.50 and has 12 slices per pizza. How much is the pizza going to cost you?