1. Scientific Notation How much does the sun weigh?
4,400,000,000,000,000,000,000,000,000,000 lbs.
How much hydrogen does the sun burn each second?
600,000,000 metric tons
How much longer will the sun burn?
6,000,000,000 years.

2. Scientific Notation
Let’s look at these large Numbers
4,400,000,000,000,000,000,000,000,000,000 lbs.
600,000,000 metric tons
6,000,000,000 years
Each of these numbers can be written in a different form called Scientific Notation. Scientific Notation makes really BIG numbers and really small numbers more manageable.

3. Scientific Notation Scientific Notation is made up of 2 parts.
1st Part = a number between 1 and 10
2nd Part = x 10 to some power
If it doesn’t have both parts, it is NOT Scientific Notation.

4. Scientific Notation 4.4 x 1030 lbs.
Let’s change these large Numbers to Scientific Notation…..
4,400,000,000,000,000,000,000,000,000,000 lbs.
4.4 x 1030 lbs.
Place the decimal pt. after the first # and then count to the end.

5. Scientific Notation 600,000,000 metric tons 6,000,000,000 years
6.0 x 10?
6.0 x 108 metric tons
6,000,000,000 years
6.0 x 109 years

6. Change to Scientific Notation
1570
Place the decimal just after the first number
Then count the # of places 1570
= 1.57 x 103

7. Change to Scientific Notation
832,000,000
Place the decimal just after the first number.
Then count the # of places
=8.32 x 108

8. Negative Exponents For small numbers we use a similar approach.
Numbers less smaller than 1 will have a negative exponent. A millionth of a second is:
sec. or 1.0 x 10-6

9. Change to Standard Notation
Now let’s go backwards and change from Scientific Notation to Standard Notation.

10. Change to Standard Notation
4.53 x 105
Move the decimal pt. 5 places to the right.
453000 =

11. Change to Standard Notation
4.53 x 10-5
Move the decimal pt. 5 places to the left.

12. Really BIG number = positive exponents.
Summary
Really BIG number = positive exponents.
= 5.0 x 104
Really small number = negative exponents.
= 2.3 x 10 -6