1. It is a brief way to write very large or very small numbers
What is it?
It is a brief way to write very large or very small numbers
Form looks like: 3.4 x 10³
1st factor is greater than or = to 1 and less than 10
2nd factor is power of 10

2. Writing in Scientific Notation
Write 86,400 in scientific notation:
First factor: 8.64
Power of 10 indicates how many decimal places to move
8.64 x 104

3. Write in scientific notation
7.5 x 10-4
Supercomputers can now reach speeds of over 35,600,000,000,000 math operations per minute!
3.56 x 1013

4. Writing in Standard Form
Also called “decimal notation”
Write 5.18 x 106 in standard form:
Move decimal 6 places right:
5,180,000
Write 8.7 x 10-8 in standard form.
Move decimal 8 places left:

5. Write in scientific notation
80,000,000
8 x 107
4,195,000
4.195 x 106
1 x 10-9 25
2.5 x 101

6. Write in standard form
6 x 105
600,000
1.2 x 10-7
7.72 x 10-4
5.03 x 109
5,030,000,000

7. Multiplying and Dividing with Scientific Notation

8. Write the answer in scientific notation.
(5 x 104)(7 x 105)
= (5 x 7)(104 x 105)
= (35)(104+5)
= 35 x 109
But we’re not done yet…

9. Write the answer in scientific notation.
35 x 109
35 is not between 1 and 10!
So… move decimal and add one more place for 10
3.5 x 1010

10. Write the answer in scientific notation.
(8 x 102)(5 x 102)
= (8 x 5)(102 x 102)
= (40)(102+2)
= 40 x 104
= 4 x 105

11. Write the answer in scientific notation.
(9 x 104)(4 x 105)
3.6 x 1010
(1.5 x 103)(2 x 105)
3 x 108

12. Write the answer in scientific notation.
(4 x 109)
(8 x 105)
= 0.5 x 109-5
= 0.5 x 104 = •
It’s not done yet…

13. Write the answer in scientific notation.
0.5 x 104
.5 not between 1 & 10!
Move the decimal to the right, and subtract one from the exponent.
5 x 103

14. Write the answer in scientific notation.
(6 x 1013)  (2 x 107)
= (6/2) x
=3 x 106
(1.2 x 102)  (4 x 108)
= 0.3 x 10-6
= 3 x 10-7

15. The End