Scientific NotationEasy way to write

very, very large numbers

The Andromeda Galaxy (closest to the Milky way) contains at least

200,000,000,000 stars.

Why Use Scientific Notation?

Scientific Notation…..

►a # written with two factors

► one factor isless than 10 AND 1 or greater

► the other factor is a power of 10 (a positive or negative power)

Example: 2.3 x

103 2300 =

Hint: When multiplying by powers of ten move the decimal either right or left

The Andromeda Galaxy (closest to the Milky way) contains at least

200,000,000,000 stars.

Why Use Scientific Notation?

2 x 1011

A) 15,010 =

B) 30,660,000,000 =

Standard form to Scientific Notation

80,600 = 8.06 x 104

410x501.11010066.3 x

How do you change the number back from scientific notation into standard form?

You just do the opposite!The exponent tells you which

direction to move your decimal to get it back where it was.

Ex. 4.5 x 10 =

5 450,000

a) 2.65 x 104 =

26,500

b) 8.7 x 10-4 =

0.00087

c) 5.245 x 103 =

5,245

d) 1.2 x 10-2 =

0.012

e) 4.34 x 10-5 =

0.0000434

f) 3.22 x 1015 =

3,220,000,000,000,000

Scientific Notation to Standard form: