1. Dimensional Analysis

2. NEVER write a measurement in a fraction form! 6 ½ mm 6.5 mm
NEVER use inches in science Each small Space between
division is millimeters large numbers
(or mm) is centimeters
(or cm)
NEVER write a measurement in a fraction form!
6 ½ mm 6.5 mm

3. Dimensional Analysis
Dimensional analysis- finding the proper units to measure in
Science measures in the metric system!
Meters measure _______________
Liters measure_________________
Grams measure________________
Base Units

4. Prefixes go BEFORE the unit
Size
Examples
Nano: 1/1,000,000,000 Nano Technology
(1 billionth)
Micro: 1/1,000,000 Compound Microscopes
(1 millionth)
Milli: 1/1,000 Small divisions on ruler
(1 thousandth)
Centi: 1/100 Large divisions on ruler
(1 hundredth)
Deci: 1/10 Measure watch size
(1 tenth)
UNIT (meters, liters, grams)
Deca: Measure rooms
(ten)
Hecto: Measure plots of land
(hundred)
Kilo: 1,000 Long drivable distances
(thousand)
Mega: 1,000,000 Larger than the circumference
(million) of the earth
Giga: 1,000,000,000 Larger than the circumference
(billion) of earth

5. Challenge!
What unit would 1,000 grams be measured in?
1 ________________________
What unit would 10,000 liters be measured in?
1 ___________________________
What unit would 1/100,000 meters be measured in?
1 _____________________________

6. Conversions giga mega kilo hecto deca Unit deci centi milli micro nano
Step 1: Determine if move decimal point left or right
Step 2: Determine how many spaces move the decimal point
giga mega kilo hecto deca Unit deci centi milli micro nano
G M k h da d c m µ n
As units get BIGGER, move
the decimal point to the
LEFT
As units get SMALLER, move the
decimal point to the RIGHT
Examples: 1000 mg = _____ g 1 L = __________ mL

7. English to Metric Conversions
Conversion Table
1 inch = 2.54 cm 1 gallon = 3.79 L
1 oz = mL 1 yard = 0.91 m
1 lb = 0.45 kg 1 ft = 0.30 m
1 oz = g
Find units in conversion table similar to in the problem & write the conversion
Cross multiply fractions
1st fraction: Left side of original equation in numerator, right side (x) in denominator
2nd fraction: Set up so units are diagonal from original fraction
Multiply when in numerator, divide when in denominator
50 gallons = ________ mL

8. You Try!
20 oz = ____________ kg

9. Challenge: Convert Among Different Types of Units (Apples to Oranges)
You will be given a conversion example
Set up fractions so that the units cancel out
Multiply!
Example:
12 gallons = ______ miles
(25 miles per gallon)