1. Exponential and Scientific Notation
Power

2. Exponential Notation
A short hand of writing a number with out changing its Value. It only changes the way it looks. * .
X10#
x10- #
Number gets larger
by adding zeros after the decimal
Number gets smaller
by adding zeros before the decimal

3. Can You Follow?
How to change numbers to Exponential notation:
Moving the decimal to the right causes the power to become smaller and vice versa
0.001=
 Moving the decimal to the left causes the power to become larger
1=  
When no decimal is shown it is at the end. Ex. 200 = = =
1X10-3
0.001X103 2.
200.
750.

4. Lets Practice
Express the following numbers in Exponential notation:
0.0962
Decimal must be moved to the right
00.962x10-1
009.62x10-2
0096.2x10-3
00962.x10-4
356
Decimal must be moved to the left
35.6x101
3.56x102

5. Scientific Notation
Similar to Exponential notation. Always written with only one digit to the left of the decimal * .
1 X10#
1 x10- #
Number gets larger
by adding zeros after the decimal
Number gets smaller
by adding zeros before the decimal

6. Can You Follow?
No matter where the decimal is, it always ends to the right of the first number that is not a zero
Express the following numbers in Exponential notation:
0.0962
Decimal must be moved to the right
00.962x10-1
009.62x10-2
0096.2x10-3
00962.x10-4
356
Decimal must be moved to the left
35.6x101
3.56x102
answer
answer

7. Lets Practice Express the following numbers in scientific notation:
d) 0.096
e) 131,000
f) 131,000.0
2.7 x 10­-9
2.56 x 102
x 104
9.6 x 10-2
1.31 x 105
x 105

8. If you still have questions please stop by the Science Tutoring Lab.
Hope that Help!
Practice the rules when ever you have a chance and you will do great! Practicing over and over and over…. is the way to remember!
If you still have questions please stop by the Science Tutoring Lab.
LOH 230