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.

Scientific Notation

A number is expressed in scientific notation when it is in the form

a x 10n

where a is from 1 to 9

and n is an integer

23 X 105 is not in proper scientific notation.

Why?

Soooo137,000,000 can be

rewritten as

1.37 X 108

Now You TryUsing 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

Try These

4,0004 X 103

2.48 X 103

2,4806.123 X 106 6,123,000306,000,0003.06 X 108

Your TurnUsing Scientific Notation,

rewrite the following numbers.

0.0008828.82 X 10-4

0.000000595.9 X 10-7

0.000044 X 10-5

More Examples1) 0.0004

4 X 10-4

2) 1.248 X 10-6

.0000012483) 6.123 X 10-5

.000061234) 0.00000306

3.06 X 10-6

5) 0.0008928.92 X 10-4

Using your calculator

Express 4.58 x 106 in decimal notation.

4,580,000

On the graphing calculator, scientific notation is done with the button.

4.58 x 106 is typed 4.58 6

Use a calculator to evaluate: 4.5 x 10-5

1.6 x 10-2

Type 4.5 -5 1.6 -2

You must include parentheses if you don’t use those buttons!!

(4.5 x 10 -5) (1.6 x 10 -2)

0.0028125Write in scientific notation.

2.8125 x 10-3

Use a calculator to evaluate: 7.2 x 10-9

1.2 x 102

On the calculator, the answer is:6.E -11

The answer in scientific notation is 6 x 10 -11

The answer in decimal notation is 0.00000000006

Use a calculator to evaluate (0.0042)(330,000).

On the calculator, the answer is1386

The answer in decimal notation is

1386.

The answer in scientific notation is

1.386 x 103

Use a calculator to evaluate (3,600,000,000)(23).

On the calculator, the answer is:

8.28 E +10

The answer in scientific notation is

8.28 x 10 10

The answer in decimal notation is

82,800,000,000

Write in PROPER scientific notation.(Notice the number is not between 1 and 10)

234.6 x 109

2.346 x 1011

0.0642 x 104

on calculator: 642

6.42 x 10 2