Use Scientific Notation

Section 8-4

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 NotationTwo million 2,000,0002 X 106

Five Thousandths 0.005 5 X 10-3

Example 1Write in scientific notation:

a. 54, 900,000 = b. 0.0000478 =

5.49 x 107

4.78 x

10-5

Example 2Write in standard form:

a. 1.875 X 109 =

b. 5.76 X 10-4 =

1.875

=1 875 000 000

5.76

=0.000576

Example 3Order numbers from least to greatest:

7.86 X 108 ; 306,000,000 ; 106,000

Write in standard from and compare numbers786,000,000 ; 306,000,000 ; 106,000

123

106,000 ;306,000,000 ;7.86 X 108;

Write in back in ORIGINAL FORM!

Example 4Evaluate the expression. Write your answer in scientific notation:

1.(8.5 X 102)(1.7 X 106) =

2. (1.5 X 10-3 )2

(8.5 * 1.7) X 102+6

14.45 X 108

1.445 X 109

= 1.52 X10-3•2

2.25 X10-6

Example 4 contEvaluate the expression. Write your answer in scientific notation:

3. 1.2 X 104 = 1.6 X 10-3

(1.2 ÷ 1.6) X 104-(-3)

0.75 X 107

7.5 X 106

HomeworkSection 8-4

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