# PowerPoint

```Lesson 1.06
Unit Conversion
System of Measurements
English System
Metric System
-Volume measured in
quarts, cups, gallons
-Mass measured in pounds
and ounces
System of
measures
- Volume measured in
liters
-Mass measured in grams
-Distance measured in
inches, yards, feet, miles
-Distance measured in
meters
-hard to convert form one
unit to another
-Easy to convert
Unit Conversions
• Dimensional Analysis:
-A problem-solving method used in physics,
chemistry, engineering, and mathematics
that is based on treating units in
calculations as algebraic factors or
fractions.
-A way to set up math problems; unit
conversions.
-Sets up multiplication and division in fraction
forms.
Steps in Unit conversion
Example: How many minutes are in 2 days?
1)What are you looking for?
• What unit do you want to have for your
answer? This is usually given in the
- 2 days and number of minutes
2) What do you already know?
• What equalities or conversions do you
Steps
problem? Don’t forget that you know the
metric prefixes and their relationship to
each base unit.
• Each step in the setup is its own
conversion. The numerator must be equal
to the denominator.
- 1 day = 24 hours; 1hour = 60 minutes
3) Where does the information go?
Steps
and use equalities until all the units cancel
except the unit you need for your final
• Every equivalent can be flipped(1 hr/60
mins or 60 mins/ 1 hr)—be sure to keep
each number with its correct unit, but you
can switch which one is in the numerator
and which one is in the denominator.
- 2 days x 24 hrs/1 day x 60 mins/ 1 hr
Steps
4) Solve it!
• You multiply everything that is on top
(numerators).
• Then divide by everything that is on the
bottom (denominators) to get the number
- Numerator(top) = 2 x 24 x 60 = 2880
Denominator (bottom)= 1 x 1 = 1
- 2880/1 = 2880 minutes
Sample Problem
A)If your dog weighs 40 kilograms, how many
milligrams does it weigh?
Step 1- 40 kg and number of milligrams(mg)
Step 2- 1 kg = 10^3 g ; 10^-3g = 1 mg
Step 3- 40 kg x 10^3 g/1 kg x 1 mg/10^-3 g
Step 4- (top)40 x 10^3 x 1 = 40000
(bottom)1 x 10^-3 = 0.001
40000/0.001 = 40,000,000 mg
Sample Problem
B)Change the measurement 150 mm to dam
Step 1 -150 mm and unit dam
Step 2 - 1 mm = 10^-3 m ; 1 dam = 10^1 m
Step 3 - 150 mm x 10^-3 m/1mm x 1 dam/
10^1 m
Step 4 - 150 x 10^-3 x 1 / 1 / 10^1
= 0.015 dam
Sample Problem
C) Convert 6.5 cm/s to m/hr(unit is a fraction)
Step 1- 6.5 cm/s and m/hr
Step 2-1 m = 100 cm ; 1 hr = 60 mins ;
1 min = 60 secs
Step 3- (convert numerator first) 6.5 cm/s x
1 m/100 cm = 0.065
one sec is still in the denominator, but you
can ignore it until you get cm converted to
m.
Sample Problems
- now you can continue the problem by
changing the denominator from s to hr.
(convert denominator) 0.065 m/s x 60 s/1
min x 60 min/1 hr
Step 4 – (top)0.065 x 60 x 60 = 234
(bottom) 1 x 1 = 1
234 / 1 = 234 m/hr
Sample Problem
D) Convert the density 6.2 g/mL to kg/L
Step 1 - 6.2 g/mL and unit kg/L
Step 2 – 1000 g = 1 kg ; 1 L = 1000 mL
Step 3 – 6.2 g/mL x 1kg/1000 g x 1000 mL/
1L
Step 4 – 6.2 x 1 x 1000 / 1000 / 1
= 6.2 kg/L
```
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