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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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
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)

9. 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 =

10. 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