1. Dimensional Analysis Look at title and pick apart.
What does the word analysis mean?
What word do you recognize in the word dimensional?
What does it mean to have dimensions?
2D vs 3D?

2. Definition
Way to solve problems using the units, or dimensions, of the measurements

3. Conversion Factors Ratio of equivalent measurements
Do not count when determining sig. figs.
In chemistry we write them as fractions
The reciprocal is also true
Do you have change for my dollar in quarters?
How many quarters would you have to give me?

4. Examples 4 quarters = 1 dollar 1 yd = 3 ft 4 quarters 1 dollar
1 yard
3 feet
3 feet
1 yard
1 yd = 3 ft

5. Metric Conversion Factors
Length Unit
Relationship
Kilometer (km)
1 km = 1000 m
Meter
base unit
Centimeter(cm)
100 cm = 1 m
Millimeter (mm)
1000 mm = 1 m
Mass Unit
Relationship
Kilogram (kg)
base unit
Gram (g)
1 kg = 1000 g
Milligram(mg)
100 cm = 1 m

6. Volume Unit Relationship Kiloliter (kL) Liter (L) Milliliter (mL)
base unit
Milliliter (mL)
1000 mL = 1 L
Cubic Centimeter(cm3)
1 cm3 = 1 mL

7. Problem solving steps Identify the given Draw your table
Identify the finish line
Find and insert conversion factors
Multiply across numerators
Divide by the denominators (individually)
Round answer to correct sig figs!
DO NOT USE CONVERSION FACTORS WHEN CALCULATING SIG FIGS!!!!!!

8. Examples How milligrams are in 750 grams. (1 g = 1000 mg)
Answer: 750,000 mg

9. How many kilograms are in 10.5 grams. (1kg=1000 g)
Answer: kg

10. How many milligrams would a 0. 75 lb. hamburger weigh. (1 lb = 453
How many milligrams would a lb. hamburger weigh? (1 lb = g, 1000 mg = 1 g)
Answer: 340,200 mg rounded to 3.4 ×105 mg (must do this to have correct sig. figs!!)

11. How many centimeters are there in 1.5 yards?
(1 yd = 3 ft, 1 ft = 12 in, 1 in = 2.54 cm)
Answer: cm rounded to 140 cm