1. Objectives
To show how very large or very small numbers can be expressed in scientific notation
To learn the English, metric, and SI systems of measurement
To use the metric system to measure length, volume and mass

2. “Arithmetic is being able to count up to twenty without taking your shoes off”
Mickey Mouse
Mickey also says “Do you remember what an exponent is?”

3. The power of 10 depends on:
A. Scientific Notation
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size
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Very large or very small numbers can be expressed using scientific notation
The number is written as a number between 1 and 10 multiplied by 10 raised to a power.
e.g is x 103
The power of 10 depends on:
The number of places the decimal point is moved.
The direction the decimal point is moved.
Left  Positive exponent
Right  Negative exponent

4. A. Scientific Notation
93,000,000 miles from the Earth to the Sun (sunlight takes 8 minutes to reach us)
Representing Large Numbers
93,000,000 = 9.3 x 10,000,000
= 9.3 x 10 x 10 x 10 x 10 x 10 x 10 x 10
= 9.3 x 107 (Decimal point moved 7 digits to the left)
Number between 1 and 10
Appropriate power of ten

5. 0.000167 = 1.67 10-4 A. Scientific Notation
Representing Small Numbers
To obtain a number between 1 and 10 we must move the decimal point to the right.
= 1.67 10-4
10-4 = 1/ (one ten-thousandth)

6. Convert the following numbers between normal and scientific notation:,
1.7 x 103
x 105
7.9 x 1011
2.8 x 10-3
7.45 x 10-1
2.3 x 10-7

7. Convert the following numbers/sums into correct scientific notation:
35.9 x x x x x x x 107

8. Scientific Notation Math - Exponents
1/103
1/105
1/10-2
1/10-7
103 x 108
10-3 x 107
10-5 x 10-3
105 / 102
10-7 / 105
10-2 / 10-4

9. Scientific Notation Math
Multiplication - multiply the numbers, add the indices 1.2 x 104 multiplied by 5 x 106 = Division - divide the numbers, subtract the indices 5.5 x 108 divided by 1.1 x 102 = (For all operations reconvert answers to full scientific notation)

10. Scientific Notation Math
Addition or subtraction:
Convert to the same base and perform the operation
Then reconvert to scientific notation
1.04 x 103 plus 6.8 x 102 =

11. Combined Operations – Give the answer in scientific notation
7.5 x 105
__________
3 x 103
2 x 106 x 1.5 x 102
________________________
5 x 103
6.5 x x 4 x 104
2 x 10-3
7.5 x 10-5
______________________
3 x 103 x 5 x 10-6

12. Measurement
A quantitative observation
Consists of 2 parts
Number
Unit – tells the scale being used

13. B. Units
Units provide a scale on which to represent the results of a measurement. What units can you think of?
“Time is God’s way of making sure everything doesn’t happen at once” (Unknown)

14. B. Units
There are 3 commonly used unit systems.
English (used in the United States)
Metric (broadly used across the World)
SI (most formal version of Metric used in science)

15. Countries not yet officially metric: USA, Liberia, Myanmar

16. Prefixes are used to denote different sizes of each unit:
Metric/SI Prefixes
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Prefixes are used to denote different sizes of each unit:

17. Full List of Metric Prefixes
Multiplication factor
(scientific notation)
Prefix       
Symbol    
(1024)
yotta Y
(1021)
zetta Z
(1018)
exa E
(1015)
peta P
(1012)
tera T
(109)
giga G
(106)
mega M
1000 (103)
kilo k
100 (102)
hecto h
10 (101)
deka da
0.1 (10-1)
deci d
0.01 (10-2)
centi c
0.001 (10-3)
milli m
(10-6)
micro
(10-9)
nano n
(10-12)
pico p
(10-15)
femto f
(10-18)
atto a
(10-21)
zepto z
(10-24)
yocto y
Full List of Metric Prefixes

18. Metric Dollars 100 dollars 1 hectodollar 1x102 10 dollars 1 dekadollar
1 dime
1 decidollar
1X10-1
1 cent
1 centidollar
1X10-2

19. C. Measurements of Length, Volume and Mass
Fundamental unit is the meter
1 meter = inches
Comparing English and metric systems
Who is taller – a woman 5 ft 6 inches or a man 1.62 meters tall?

20. C. Measurements of Length, Volume and Mass*

21. C. Measurements of Length, Volume and Mass
Amount of 3-D space occupied by a substance
Fundamental unit is meter3 (m3)
1 liter = 2.11 Pints
250mL of milk is close to ½ Pint, 1 Pint, 1 Quart, 1 Gallon?

22. C. Measurements of Length, Volume and Mass
Quantity of matter in an object
Fundamental unit is kilogram = 2.2 lbs

23. C. Measurements of Length, Volume and Mass
How many quarters in a row to make a meter?
What is the weight in kg of a man who weighs 180 lbs?
How many liters in a six-pack of soda cans?