1. Scientific Notation
A short-hand way of writing large or extremely small decimal numbers without writing all of the zeros.

2. The Distance From the Sun to the Earth…
93,000,000 miles!
How do I write this number in scientific notation so I don’t have to keep writing all these zeros?!?!

3. How to write a standard form number in scientific notation…
Step 1:
Move the (understood) decimal from behind the last zero to the left
The decimal should be moved until it comes directly after the first number
93,000,000 =

4. How to write a number that is in standard form in scientific notation…
Step 2:
Write the number in decimal form without the zeros
93,000,000 = 9.3

5. How to write a number that is in standard form in scientific notation…
Step 3:
Count how many places you moved the decimal
Make the number of places you moved the decimal your power of ten
93,000,000 = 9.3 x 10 7

6. How to write a number that is in standard form in scientific notation…
The power of
ten is 7 because
the decimal
moved 7 places to the left.
93,000,000 = 9.3 x 10 7

7. Standard Form -vs- Scientific Notation
9.3 x Scientific Notation

8. Practice Problems -----> -----> -----> ----->
Write the standard form of each number in scientific notation.
Decide the power of ten by counting how many places the decimal was moved.
98,500,000 = 9.85 x 10?
64,100,000,000 = 6.41 x 10?
279,000,000 = 2.79 x 10?
4,200,000 = 4.2 x 10?
9.85 x 107
----->
6.41 x 1010
----->
2.79 x 108
----->
----->
4.2 x 106

9. More Practice Problems
In the following three problems, decide
where the decimal will be moved and write
your complete answer in scientific notation.
734,000,000 = ______ x 108
870,000,000,000 = ______x 1011
90,000,000,000 = _____ x 1010
Answers
3) 9 x 1010
7.34 x 108
2) 8.7 x 1011

10. Even More Practice Problems
Write the following standard notation
numbers in scientific notation.
50,000
7,200,000
802,000,000,000
Answers
1) 5 x 104
2) 7.2 x 106
3) 8.02 x 1011

11. How to write Scientific Notation numbers in Standard Form
Use your exponent to determine how many
times the decimal should be moved to the
right.
3.4 x 105 in scientific notation
move the decimal
--->
340,000 in standard form

12. Write the following Scientific Notation numbers in Standard Form
Move the decimal to the right.
6.27 x 106
9.01 x 104
6,270,000
90,100