8.4 Use Scientific Notation

Algebra

Scientific Notation

• Numbers such as 1,000,000, 153,000 and 0.00009 are written in standard form.

• Another way to write a number is to use scientific notation.

Scientific Notation

c x 10n

where 1 ≤ c < 10 and n is an integer

Standard Form Scientific Notation 2,000,000 2 x 106

0.005 5 x 10-3

Write Numbers in Scientific Notation

42,590,000

539,000

0.0000574

0.00000004

Write Numbers in Standard Form

2.0075 x 106

7.0234 x 105

1.685 x 10-4

3.09 x 10-6

Order Numbers in Scientific Notation

Order from least to greatest:103,400,000, 7.8 x 108, 80,760,000

Order Numbers in Scientific NotationYOUR TURN

Order from least to greatest:2.7 x 105, 3.401 x 104, 27,500

Compute with Numbers in Scientific Notation

Evaluate the expression. Write your answer in scientific notation.

(8.5 x 102)(1.7 x 106) (5.7 x 103)(2.6 x 104)

Compute with Numbers in Scientific Notation

Evaluate the expression. Write your answer in scientific notation.

(1.5 x 10-3)2 (2.4 x 10-4)2

Compute with Numbers in Scientific Notation

Evaluate the expression. Write your answer in scientific notation.

1.2 x 104 2.4 x 105

1.6 x 10-3 2.5 x 10-4

Evaluate the expression. Write your answer in scientific notation. YOUR TURN

(1.3 x 10-5)2 (1.1 x 107)(4.2 x 102)

4.5 x 105

1.5 x 10-2

ASSIGNMENT

p.515 #2-42 evens