1. Use Scientific Notation
Section 8-4
Use Scientific Notation

2. Scientific Notation
● A number is written in scientific notation when it is of the form c X 10n where 1 ≤ c < 10 and n is an integer.
Number Standard Form Scientific Notation
Two million ,000, X 106
Five Thousandths X 10-3

3. Example 1
Write in scientific notation:
a. 54, 900,000 =
b =
5.49 x
107
4.78 x
10-5

4. Example 2 a. 1.875 X 109 = b. 5.76 X 10-4 = Write in standard form:=
5.76 =

5. Example 3
Order numbers from least to greatest:
7.86 X 108 ; 306,000,000 ; 106,000
Write in standard from and compare numbers
786,000,000
; 306,000,000 ; 106,000 3 2 1
Write in back in ORIGINAL FORM!
106,000 ;
306,000,000 ;
7.86 X 108;

6. Example 4
Evaluate the expression. Write your answer in scientific notation:
(8.5 X 102)(1.7 X 106) =
2. (1.5 X 10-3 )2
(8.5 * 1.7) X
102+6 X
108 X
109
= X
10-3•2
2.25 X
10-6

7. Example 4 cont
Evaluate the expression. Write your answer in scientific notation:
X 104 =
1.6 X 10-3
(1.2 ÷ 1.6) X
104-(-3) X
107 X
106

8. Homework Section 8-4 Page 515 - 516 6 – 9, 13, 19, 24,
30, 33, 40, 42, 47