1. Scientific Notation
Students will learn the uses of Scientific Notation and apply the lesson into their studies

2. Scientific Notation: Decimal numbers are written as a product of a number greater than or equal to 1 and less than 10, and an integer power of 10.
Example:

3. Uses for Scientific Notation
Long distances, such as the distance between the Earth and the Sun.
In scientific notation that number will be

4. If N is a decimal number, then in scientific notation

5. The exponent tells how many places the decimal point is to be moved and in what direction.
If the exponent is positive, the decimal point is moved to the right.
If the exponent is negative, the decimal point is moved to the left.

6. Standard Form to Scientific Notation
a number is in standard form when it is just a number, decimals are okay!
,000,000
You can change a number from standard form to scientific notation using these steps!

7. Step 1
Move the decimal point to the left or right until you have a number greater than or equal to 1 but less than 10
0.0004
125,000,000

8. Step 2
Count the number of places you moved the decimal point and use that number as the positive or negative power of ten. -4 +8

9. Step 3
Multiply the decimal (from step 1) by the power of 10 (from step 2).
0.0004
125,000,000

10. Scientific Notation to Standard Form
A number is in Scientific notation when the number is greater than or equal to 1 but less than 10, multiplied by 10 to a positive or negative power
You can change a number from scientific notation to standard form using 1 step!

11. It’s quick and easy!
Move the decimal point right or left according to the power of the exponent.

12. Practice moving from standard form to scientific notation
639,800
.001
900,000,000

13. Practice moving from scientific notation to standard form
72,800
5,200,000