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

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

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

What does 8 quarts of strawberries make? 1 PECK

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?

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 6076.115 49 feet  = 1 nautical mile

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

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

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

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

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

Currency is based on 10.

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

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

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

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

SI System Prefixes Know These Prefixes! Giga- G 109 1,000,000,000 Mega- M 106 1,000,000 Kilo- K 103 1000 Hecto H 102 100 Deca da 101 10 BASE UNIT Deci d 10-1 1/10 centi- c 10-2 1/100 milli- m 10-3 1/1000 micro- µ 10-6 1/1,000,000 nano- n 10-9 1/1,000,000,000 pico- p 10-12 1/1,000,000,000,000 Know These Prefixes!

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

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

Dimensional Analysis!!!

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

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

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