This document provides an overview of scientific notation. It begins by reviewing positive and negative exponents. It then defines Avogadro's number as the number of molecules in a mole of a substance. It explains how to write numbers in scientific notation by moving the decimal point right if the power is positive or left if negative. Examples are given of converting between scientific and standard form. The document also demonstrates how to multiply numbers in scientific notation by keeping the numbers the same and adding the powers of ten.

1. Pre-Algebra
Lesson 6.7
Scientific Notation

2. Table Discussion
Scientific
Notation

3. http://www.youtube.com/watch?v=HEheh1BH34Q

5. Review: Positive & Negative Exponents
10
0
10
1
10
4
10
-2
10
-4

6. http://powersof10.com/

7. Avogadro's Number
the number of
molecules in a
mole of a substance
602200000000000000000000

8. http://goo.gl/ZMQEgd

9. Scientific Notation
If the power is positive, move decimal
n
10
10
to the right (number gets bigger)
1 x 10
-n
5
If the power is negative, move decimal
to the left (number gets smaller)
1 x 10
-5

10. Scientific Notation --> Standard form
Try these problems:
1) 3.45 x 104
34500
2) 8.9 x 1010 89000000000
3) 2.2 x 10-3
.0022
4) 3.14 x 10-7
.000000314

11. summarize
SN --> SF

12. Standard form --> Scientific Notation
If you move the decimal point to the left,
then the power of ten will be positive.
56500
If you move the decimal point to the right,
then the power of ten will be negative.
.00021

13. Standard form --> Scientific Notation
Try these problems:
1) 7294
7.294 x 103
2) 100000
1 x 105
3) .00035
4) .088
3.5 x 10-4
8.8 x 10-2

14. summarize
SF --> SN

15. Multiplying Numbers in Scienfitic Notation
Scientific
(3.2 x 10 ) x (1.8 x 10 )
2
4
3.2 x 1.8 x 10 x 10
2
5.6 x 10
(2+4)
5.6 x 10
6
4

16. Multiplying Numbers in Scienfitic Notation
Scientific
(3 x 10 ) x (2.05 x 10 )
-3
3 x 2.05
6.15
5
x
10-3+5
x
10-2
6.15 x 10-2

17. In the OLS...