1. Scientific Notation A short-hand way of writing
large and small numbers without
writing all of the zeros.

2. The Distance From the Sun to the Earth
93,000,000

3. Step 1 93,000,000 = 9.3000000 Move decimal left
Leave only one number in front of decimal
93,000,000 =

4. Step 2
Write number without zeros
93,000,000 = 9.3

5. Step 3 7 93,000,000 = 9.3 x 10 Count how many places you moved decimal
Make sure that you write a power of ten
93,000,000 = 9.3 x 10 7

6. The power of ten is 7 because the decimal moved 7 places. 7
93,000,000 = 9.3 x 10 7

7. 93,000, Standard Form
9.3 x Scientific Notation

8. Practice Problem -----> -----> -----> ----->
Write in scientific notation.
Decide the power of ten.
98,500,000 = 9.85 x 10?
64,100,000,000 = 6.41 x 10?
279,000,000 = 2.79 x 10?
4,200,000 = 4.2 x 10?
9.85 x 107
----->
6.41 x 1010
----->
2.79 x 108
----->
----->
4.2 x 106

9. More Practice Problems
On these, decide where the decimal will be moved.
734,000,000 = ______ x 108
870,000,000,000 = ______x 1011
90,000,000,000 = _____ x 1010
Answers
3) 9 x 1010
7.34 x 108
2) 8.7 x 1011

10. Complete Practice Problems
Write in scientific notation.
50,000
7,200,000
802,000,000,000
Answers
1) 5 x 104
2) 7.2 x 106
3) 8.02 x 1011

11. Scientific Notation to Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
move the decimal
--->
340,000 in standard form

12. Move the decimal to the right.
Write in Standard Form
Move the decimal to the right.
6.27 x 106
9.01 x 104
6,270,000
90,100

13. What about a negative exponent?
The sign of the exponent tells which direction to move the decimal. A positive exponent means you move the decimal to the right and a negative exponent means you move the decimal to the left.

14. Negative Exponents in Scientific Notation
When you have a negative exponent in scientific notation, you will move the decimal point to the LEFT!!
6.345 * 10¯6 is

15. What would the following be in standard form…..
3.45 * 10¯4
8 * 10¯8
* 10¯7
7.776 * 10¯11
2.209 * 10¯10

16. Turn the following into scientific notation…
0.3

17. What is the Exponent? 2.352 * 10 2.147 * 10 8.5 * 10 9 * 10 3 * 10
* 10
4.5 * 10