1. Today’s Objective
To be able to express a very large number or very small number in scientific notation.

2. Scientific Notation What 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

3. Scientific Notation How much longer will the sun burn?
6,000,000,000 years.

4. Scientific Notation 600,000,000 metric tons 6,000,000,000 years
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

5. 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.

6. 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.

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

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

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

10. Change to Scientific Notation
2450 = 2.45 x 103
765,000,000 = 7.65 x 108
= 7.22 x 10-4
Notice that if the decimal moves right the exponent is negative and if it moves left, the decimal is positive.

11. Change to Scientific Notation
Place the decimal just after the first number.
Then count the # of places.
000722
= 7.22 x 10-4

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

13. Change to Standard Notation
4.53 x 105
Move the decimal pt. 5 places to the right.
453000
= 453,000

14. Scientific Notation (5 x 103)(4 x 105) 5 x 4 = 20 103 x 105 = 108
Now convert to Scientific Notation
2.0 x 109

15. 8.2 x 108 Try this one Count to the end 820,000,000 8.2
Place the point after the 1st #
Count to the end
8.2 x 108

16. Try this one (6 x 102)(3 x 107) 6 x 3 = 18 102 x 107 = 109 18 x 109
Now convert to Scientific Notation
1.8 x 1010

17. Try this one 2.5 x 107 (5 x 103)2 = (5 x 103) (5 x 103) 5 x 5 = 25