1. Scientific Notation to Standard Notation
Positive Exponents

2. Let’s look at some science stuff …
Science?! I LOVE science!!

3. Mercury The closest planet to the Sun 36,000,000 miles from the Sun
3.6 x 107 miles from the Sun

4. Venus The second planet from the Sun Considered to be Earth’s twin
67,000,000 miles from the Sun
6.7 x 107 miles from the Sun

5. Earth The third planet from the Sun 93,000,000 miles from the Sun
9.3 x 107 miles from the Sun

6. Mars The fourth planet from the Sun 142,000,000 miles from the Sun
1.42 x 108 miles from the Sun

7. Jupiter The fifth planet from the Sun 484,000,000 miles from the Sun
4.84 x 108 miles from the Sun

8. Saturn The sixth planet from the Sun 888,000,000 miles from the Sun
8.88 x 108 miles from the Sun

9. Uranus The seventh planet from the Sun
1,784,000,000 miles from the Sun
1.784 x 109 miles from the Sun

10. Neptune The eighth planet from the Sun
2,799,000,000 miles from the Sun
2.799 x 109 miles from the Sun

11. Pluto? The ninth planet(?) from the Sun
3,674,000,000 miles from the Sun
3.674 x 109 miles from the Sun

12. Lightspeed! That’s even faster than me!
Travel at Light Speed!
300,000,000 miles per second
3 x 108 miles per second
Lightspeed! That’s even faster than me!

13. Yo Yo Yo … in West Philadelphia, we never done use the long numbers with all those. Seriously, take the short cut.

14. 1
Listen, High School Musical 3 is out and I have to travel the world promoting it. I don’t have time to write all these 0s. Isn’t there an easier way?

15. 1
Of course Troy! It’s called scientific notation. That number looks like this:
1.0 x 1013

16. Standard Notation
Expanded form of a number
It includes ALL the zeros

17. Scientific Notation
Used to represent a very large or a very small number
Also known as exponent notation

18. Scientific Notation Consists of three parts (in this order):
1.) A number between 1 and 10
2.) A multiplication x
3.) A power of 10

19. Wait … What do you mean a number between 1 and 10?
In scientific notation, the first number must be at least 1.0 and no more than 9.9

20. 10-7 1011 Wait … what’s a power of 10?
A power of 10 is the number 10 and an exponent.
It looks like:
10-7
1011

21. 3.87 x 105 1.0 x 10-8 9.9999 x 1023 So what does this mean?
These are examples of scientific notation:
3.87 x 105
1.0 x 10-8
x 1023

22. 38.7 x 105 10.0 x 10-8 99.999 x 1023 So what does this mean?
These are NOT examples of scientific notation:
38.7 x 105
10.0 x 10-8
x 1023

23. 3.87 x 1004 1.0 x 0.1-7 9.999 x 100021 So what does this mean?
These are NOT examples of scientific notation:
3.87 x 1004
1.0 x 0.1-7
9.999 x

24. To write a number in scientific notation
1.) Put a decimal after the first digit that is NOT a zero .
1 23,000,000,000

25. To write a number in scientific notation
2.) For a number that is greater than 1, count the amount of numbers behind the decimal point 1 2 3 4 5 6 7 8 9 10 11

26. To write a number in scientific notation
3.) Take the amount of numbers behind the decimal point and make that the exponent that goes with the 10
There were 11 digits behind the decimal. Therefore, it will say 1011

27. To write a number in scientific notation
4.) Write all the digits that are not 0 (with the decimal point), a multiplication x, and the power of 10
1.23 x 1011
Don’t forget to box your answer!

28. Let’s try a few!
Convert the following number from standard notation to scientific notation

29. Let’s try a few! .
 Start with the decimal point

30. Let’s try a few!
 Count the numbers behind the decimal point.
 There are 11 numbers behind the decimal point

31. Let’s try a few!
4.697 x 1011

32. Let’s try a few!
Convert the following number from standard notation to scientific notation

33. Let’s try a few! .
 Start with the decimal point

34. Let’s try a few!
 Count the numbers behind the decimal point.
 There are 8 numbers behind the decimal point

35. 7.36 x 108
Let’s try a few!

36. Let’s try a few!
 Start with the decimal point

37. Let’s try a few!
 Start with the decimal point

38. Now it’s your turn! 
39400
0.003
3.94 x 104
3 x 10-3
x 106

39. Now it’s your turn! 
540
2.34 x 10-4
5.4 x 102
3.0 x 1010

40. Now it’s your turn! 
76345
873234
x 104
x 105
2.3 x 10-4