1. MEASUREMENT
Unit Conversions

2. Dimensional Analysis The “Factor-Label” Method
Units, or “labels” are canceled, or “factored” out

3. Dimensional Analysis Steps: 1. Identify starting & ending units.
2. Line up conversion factors so units cancel.
3. Multiply all top numbers & divide by each bottom number.
4. Check units & answer.

4. 1 in = 2.54 cm = 1 2.54 cm 2.54 cm 1 in = 2.54 cm 1 = 1 in 1 in
Dimensional Analysis
Lining up conversion factors:
= 1
1 in = 2.54 cm
2.54 cm cm
1 =
1 in = 2.54 cm
1 in in

5. 1.00 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL qt mL  Dimensional Analysis
How many milliliters are in 1.00 quart of milk? qt mL
1.00 qt
1 L
1.057 qt
1000 mL
1 L
= 946 mL 

6. lb cm3 Dimensional Analysis
You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3. lb
cm3

7. = in3 L Dimensional Analysis
How many liters of water would fill a container that measures 75.0 in3?
in3 L =

8. B. Dimensional Analysis
5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off? cm in

9. cm yd Dimensional Analysis
6) Hammonton football needs 550 cm for a 1st down. How many yards is this? cm yd

10. m pieces Dimensional Analysis
7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire? m
pieces

11. mi/hr m/s Dimensional Analysis
8) The speed limit on my street is 35 mph, what is that equivalent to in m/s ?
mi/hr
m/s

12. g/cm3 lb/ft3 Dimensional Analysis
9) The Density of Copper is 8.9g/cm3. What is its density in lb/ft3 ?
g/cm3
lb/ft3

13. your value accepted value Percent Error
Indicates accuracy of a measurement
your value
accepted value

14. Percent Error
A student determines the density of a substance to be 1.40 g/mL. Find the % error if the accepted value of the density is 1.36 g/mL.
% error =

15. Proportions
Direct Proportion y x
Inverse Proportion y x