1. Scientific Notation

2. Scientific Notation How much hydrogen does the sun burn each second?
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 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. A short-hand way of writing large numbers without
Scientific Notation
A short-hand way of writing
large numbers without
writing all of the zeros.

6. Scientific Notation Scientific Notation is made up of 2 parts.
1st Part = a number between 1 and 9
2nd Part = x 10 to some power
If it doesn’t have both parts, it is NOT Scientific Notation.

7. 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.

8. 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

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

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

11. Change to Scientific Notation
2450 =
2.45 x 103
765,000,000 =
7.65 x 108
= 7.22 x 10-4

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

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

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

15. Try this one
8.2 x 10-8

16. Multiplying with Scientific Notation
(2.5x102 )( 2.5x 103 )
Multiply the coefficients
2.5 x 2.5 = 6.25
Add the Exponents
= 105
Put it together
6.25 x105

17. Multiplying with Scientific Notation
(2.3 X 102)(3.3 X 103)
Multiply the Coefficients
2.3 X 3.3 = 7.59
Add the Exponents
= 105
7.59 X 105

18. Multiplying with Scientific Notation
(4.6 X 104) X (5.5 X 103) = ?
Answer 25.3 x 107
Correct answer = 2.53 x108
(3.1 X 103) X (4.2 X 105) = ?
Answer= x 108
Correct Answer= x 109

19. Dividing with Scientific Notation
(3.3 X 104)/ (2.3 X 102)
Divide the Coefficients
3.3/ 2.3 =
Subtract the Exponents
= 102
Put them together
1.43 X 102

20. Dividing with Scientific Notation
(4.6 X 104) / (5.5 X 103) = ?
Answer= 0.836x 101
Correct answer = 8.36
(3.1 X 103) / (4.2 X 105) = ?
Answer = .738x 10 -2
Correct answer =7.38x10-3