Languages
Pages
Legal
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
Top Related