1. How to Change Units using Math
DIMENSIONAL ANALYSIS
How to Change Units using Math

2. FRUIT DRINKS
If these are one quart each, how many gallons are here?

3. Dry Quart vs. Liquid Quart
Strawberries and other fruits are often sold in one quart containers. Are these quarts the same size as a quart of strawberry juice?
Dry Quart vs. Liquid Quart
Dry Quart = 1.07 Liquid Quarts

4. What does 8 quarts of strawberries make?
1 PECK

5. Apothecary System used in medicine
Based on the weight of one grain of wheat.
20 grains make a scruple
3 scruples make a dram
8 drams make a ounce
12 ounces make a pound (troy pound)
Does this system of constantly changing numbers make sense?

6. Lets Look at another - Units of Length
12 inches (in)= 1 foot (ft)
3 feet= 1 yard (yd)
16-1/2 feet= 1 rod (rd), pole, or perch, depending on where you are from
40 rods= 1 furlong (fur) = 660 feet
8 furlongs= 1 U.S. statute mile (mi)
1 U.S. statute mile (mi) = 5280 feet
feet  = 1 nautical mile

7. Even More????? 14 pounds= 1 stone 2 stones= 1 quarter = 28 pounds
4 quarters= 1 hundredweight = 112 pounds
20 hundredweight= 1 Long Ton = 2240 pounds

8. No, Not MORE 4 gills= 1 pint 2 pints= 1 quart 4 quart= 1 gallon
2 gallons= 1 peck
8 gallons (4 pecks)= 1 bushel
8 bushels= 1 quarter

9. AND THIS IS THE SYSTEM Americans say it easy????????????????
How about the Metric System, it is based only on 10

10. Why Do Units Matter? Why is it Important to always write the Units?
I know what the answer should be in, why do I have to write the stupid unit?

11. Air conditioner rated at 18,000 BTU per hour.
What does BTU stand for and what does it measure?
British Thermal Units = Energy to raise or lower 1 pound of water 1 degree Fahrenheit

12. Seabiscuit’s races like most horse races goes for 10 furlongs
Seabiscuit’s races like most horse races goes for 10 furlongs. How far is that?
1 furlong = 1/8 mile

13. Currency is based on 10.

14. The motto for the metric system was:
“For all people, for all time”

15. Since we have 10 fingers, a number system based on 10 was developed.

16. METER Cubits Yards Miles Nautical Miles Feet Hands Inches Leagues
Chains
Furlongs
METER

17. SI BASE UNITS QUANTITY NAME SYMBOL Length Meter m Volume Liter l
Mass Kilogram Kg
gram g
Time second s
Temperature Kelvin K
Celsius C
Amount mole mol
Memory byte b

18. SI System Prefixes Know These Prefixes! Giga- G 109 1,000,000,000
Mega- M ,000,000
Kilo- K
Hecto H
Deca da
BASE UNIT
Deci d /10
centi- c /100
milli- m /1000
micro- µ /1,000,000
nano- n /1,000,000,000
pico- p /1,000,000,000,000
Know These Prefixes!

19. PUTTING THEM TOGETHER 1000 meters 1 Kilometer
1,000,000 bytes 1 Megabyte
1/1000 Liter 1 milliliter
1/100 meter 1 centimeter
1,000,000,000 seconds 1 Gigasecond

20. Conversion Fractions
A Conversion Fraction is a Fraction that has the units in it and is equal to one
1000m/1Km
100cm/1m
1000mm/1m
1000g/1Kg
NOTE: The larger number always goes with the smaller unit

21. Dimensional Analysis!!!

22. Convert 0.15 meters to centimeters
Starting amount
equal
End Amount
0.15 meters
100 cm
= centimeters
1 meters
0.15 X 100 = 15 cm
= 15 centimeters
*Multiply left to right (horizontally)
Divide top to bottom

23. Convert 5234 millimeters to meters
Starting amount
equal
End Amount
5234 millimeters
1 meter
= ? meters
1000 milli
5234 / = meters

24. Convert 5234 millimeters to centimeters
Starting amount
equal
equal
End Amount
5234 millimeters
1 meter
100 centi
= centimeters
1000 milli
1 meter
523.4 centimeters