1. English  Metric Conversions
Dimensional Analysis
English  Metric Conversions
T. Trimpe

2. Dimensional Analysis
The goal of dimensional analysis is to simplify a problem by focusing on the units of measurement (dimensions).
Dimensional analysis is very useful when converting between units (like converting inches to yards, or converting between the English and SI systems of measurement).
9/22/2014

3. Example:
You work at the amusement park for 6 hrs a day and you are paid $12 per hour. How much do you make per day?
$12 1 ℎ𝑟 × 6 ℎ𝑟𝑠 ? $ =
$ 72.00
9/22/2014

4. Example: Metric to metric
220 centimeters to some number of meters
220 𝑐𝑚 ? × 1 𝑚 100 𝑐𝑚 =
220 𝑚 100 =2.20 𝑚
9/22/2014

5. Conversion Factor: 1 in = 2.54 cm
Example: 7 in = ________ cm
7 𝑖𝑛 ? × 𝑐𝑚 1 𝑖𝑛 =
7 ×2.54 𝑐𝑚=17.78 𝑐𝑚
9/22/2014

6. English & Metric Conversions
To go from To
Multiply by mi Km
1.61 ft m
0.305 in cm
2.54 lb Kg
0.454
0.62
3.28
0.394
2.204

7. English & Metric Conversions
Use the chart and a calculator to convert each measurement. Be sure to show your work using GUESS Method. Round answers to the nearest hundredth if needed.
Example: 16 in = ____ cm
G 16 in
U ____ cm
E 1 in = 2.54 cm
S 16 𝑖𝑛 ? 𝑐𝑚 = 1 𝑖𝑛 2.54 𝑐𝑚
Cross multiple, then divide
S cm
Select the conversion factor

8. Complete the following in your Science Notebook
345 lbs = ______ Kg
450 Km = _____ mi
40 m = _____ ft
50 Kg = _____ lbs
56 cm = _____ in
1200 mi _____ Km
4 ft = _____ m
12 in = _____ cm

9. Penny has a pencil that is 19 cm long. How long is the pencil in inches?
Macho Mel can lift 200 kilograms with ease. How much is this in pounds?
The distance between Happyville and Giggleland is 60 miles. How far is this in kilometers?
A cookie recipe calls for 1 pound of butter. How many kilograms of butter would be needed for 3 batches of cookies?