Unit Conversion Objectives: Transform a statement of equality to a conversion factor Perform unit conversion problems within the SI metric system

SI Prefix Conversion Find the difference between the exponents of the two prefixes. Move the decimal that many places.

move right move left SI Prefixes Prefix Scientific notation Meaning mega (M) 106 1 000 000 kilo (k) 103 1 000 hecto (h) 102 100 deka (da) 101 10 Base Unit 1 deci (d) 10-1 0.1 centi (c) 10-2 0.01 milli (m) 10-3 0.001 micro () 10-6 0.000 001 nano (n) 10-9 0.000 000 001 move left move right

Ex: How many mL are in 0.032 L? You Try! a) 20 cm = ____ m 0.032 L = _____ mL 0.032 L = 32 mL You Try! a) 20 cm = ____ m 0.2 m b) 805 dm = ____ km 0.0805 km c) 0.177 L = ____ mL 177 mL

Conversion Factors Ex: 1 dollar = 4 quarters or 4 quarters = 1 dollar Conversion factor: a ratio from the equality between two different units that can be converted from one unit to the other Ex: 1 dollar = 4 quarters or 4 quarters = 1 dollar Can be written like: or You can convert factors if you know the relationship between the unit you have and the unit you want! 

Dimensional Analysis Units are canceled (or “factored”) out Steps: The “Factor-Label” Method Units are canceled (or “factored”) out Steps: Identify starting and ending units. Line up conversion factors so units cancel out. Multiply all top numbers & divide by each bottom number. Check units & answer. Example will be on board

Practice Convert the following metric measurements: 23.0 g = _______ kg 0.00817 hg = _______ g 5.312 daL = _______ L 0.0093 m = _______ km Convert each of the following using the factor label method: How many kilometers are in 3500 meters? How many milligrams are in 8.71 grams? How many liters are in 20.7 dekaliters? How many grams are in 40.3 centigrams?