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SCIENTIFIC NOTATION

- A QUICK WAY TO WRITE
- REALLY, REALLY BIG
- OR
- REALLY, REALLY SMALL NUMBERS.

Mathematicians are Lazy!!!

- They decided that by using powers of 10, they can

create short versions of long numbers.

Rules for Scientific Notation

- To be in proper scientific notation the number

must be written with - a number between 1 and 10
- and multiplied by a power of
- ten
- 23 X 105 is not in proper scientific

notation. Why?

Soooo

- 137,000,000 can be rewritten as
- 1.37 X 108

Now You Try

Using scientific notation, rewrite the following

numbers. 347,000. 3.47 X 105 902,000,000. 9.02 X

108 61,400. 6.14 X 104

Convert these

- 1.23 X 105
- 123,000
- 6.806 X 106
- 6,806,000

Try These

- 4,000
- 4 X 103
- 2.48 X 103
- 2,480
- 6.123 X 106
- 6,123,000
- 306,000,000
- 3.06 X 108

- In the United States, 15,000,000 households use

private wells for their water supply. Write this

number in scientific notation. - 1.5 X 107

- The U.S. has a total of 1.2916 X 107 acres of

land reserved for state parks. Write this in

standard form. - 12,916,000 acres

Why does a Negative Exponent give us a small

number?

- 10000 10 x 10 x 10 x 10 104
- 1000 10 x 10 x 10 103
- 100 10 x 10 102
- 10 101
- 1 100
- Do you see a pattern?

Sooooo

- 10-1
- 10-2
- 10-3
- 10-4

Your Turn

- Using Scientific Notation,
- rewrite the following numbers.
- 0.000882
- 8.82 X 10-4
- 0.00000059
- 5.9 X 10-7
- 0.00004
- 4 X 10-5

More Examples

- 1) 0.0004
- 4 X 10-4
- 2) 1.248 X 10-6
- .000001248
- 3) 6.123 X 10-5
- .00006123
- 4) 0.00000306
- 3.06 X 10-6
- 5) 0.000892
- 8.92 X 10-4

- The nucleus of a human cell is about
- 7 X 10-6 meters in diameter. What is the

length in standard notation? - .000007

- A ribosome, another part of a cell, is about

0.000000003 of a meter in diameter. Write the

length in scientific notation. - 3 X 10-9

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