1. 5-4 Scientific Notation (p. 217-220)
8N1&8: Use scientific notation

2. Vocabulary
Scientific Notation: writing a number shorter by using powers of tens and a number less than 10.
(Hint: There can only be one number to the left of the decimal to make it less than 10)
Example : 6,500,000 = 6.5 x 106
Standard Form Scientific Notation

3. Scientific Notation Examples Write in standard form.
Ex 1) 1.4 x The exponent tells you how many places to move the decimal and which direction.
14, The exponent is a 4 (multiply), this means that you move the decimal 4 places to the right.
Ex 2) 1.57x The exponent tells you how many places to move the decimal.
The exponent is a -6 (divide), this means that you move the decimal 6 places to the left.

4. Write in Scientific Notation
move the decimal until you have a number between 1-10
count the number of place values that you move, that # becomes your exponent for the 10
Ex 3) 34,000,000
3.4 x 107
Ex 4) 12 billion
12 x 109
1.2 x1010

5. Try this:
Ex 5) Write in standard form
2.3 x 108
230,000,000
Ex 6) Write in scientific notation
5,640,000
5.64 x 106
Ex 7) What does 6 x 100 mean?
Any number raised to the zero power = 1.
100=1 So, 6 x 100 = 6 x 1 = 6
What does 6 x 10-1
Remember, when the exponent is negative, you move the decimal to the left, instead of the right.
So, 6 x 10-1 = 0.6

6. Operations with Scientific Notation
Rules for Exponents
Multiplying – Add
Dividing- Subtract
Ex 8)
Ex 9)
Moving decimal left adds on to exponent
Moving decimal right takes off of the exponent

7. Solve for y

8. Assignment
5-4/ /4-40 m4, 41,42,49-58