The document discusses scientific notation, which is a way to write very large or small numbers in a more compact form using two factors - a number between 1 and 10 multiplied by a power of 10. It provides examples of converting numbers between standard form and scientific notation, such as 2.3 x 103 representing 2300. The Andromeda Galaxy contains at least 200 billion stars, which can be written more concisely in scientific notation as 2 x 1011 stars.

1. Scientific Notation
Easy way to write
very, very large
numbers

2. The Andromeda Galaxy
(closest to the Milky way)
contains at least
200,000,000,000 stars.
Why Use Scientific Notation?

3. Scientific Notation…..
►a # written with two factors
► one factor is
less 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

4. The Andromeda Galaxy
(closest to the Milky way)
contains at least
200,000,000,000 stars.
Why Use Scientific Notation?
2 x 1011

5. A) 15,010 =
B) 30,660,000,000 =
Standard form to Scientific Notation
80,600 = 8.06 x 104
4
10x501.1
10
10066.3 x

6. 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

7. 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: