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Pre-Algebra
Lesson 6.7
Scientific Notation
Table Discussion

Scientific
Notation
http://www.youtube.com/watch?v=HEheh1BH34Q
Pre-Alg 6.7 Scientific Notation
Review: Positive & Negative Exponents

10

0

10

1

10

4

10

-2

10

-4
http://powersof10.com/
Avogadro's Number
the number of
molecules in a
mole of a substance

602200000000000000000000
http://goo.gl/ZMQEgd
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
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
summarize

SN --> SF
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
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
summarize

SF --> SN
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
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
In the OLS...

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Pre-Alg 6.7 Scientific Notation