1. Metric System

2. Question of the Day
Question: How much is a ‘kilodollar’ worth and how do you know? Answer: … … …

3. The Dollar Bill as the Standard Unit

4. Multiply by 10 and you get a…
dekadollar

5. Multiply the dollar by 100 and get…
hectodollar

6. Multiply the dollar by one thousand and you get…
kilodollar

7. Multiply the dollar by 1 million and you get…
megadollar

8. Let’s go the other way. We start off with the dollar again….

9. Now divide by 10…
Decidollar

10. Divide the dollar by 100 and you get a…
centidollar

11. If you were to go further and divide that dollar by 1000, you would get a…
millidollar

12. It makes using very large and very small numbers easier!
Scientific Notation
It makes using very large and very small numbers easier!

13. A number in Scientific Notation has two parts

14. A number in Scientific Notation has two parts
9.9 x 106

15. A number in Scientific Notation has two parts
9.9 x 106
Number between 1 and 10
(not including 10)

16. A number in Scientific Notation has two parts
9.9 x 106
Exponent
Number between 1 and 10
(not including 10)

17. The distance to the Sun is 149,597,870,700. meters
How do we write that in Scientific Notation?

18. 149597870700. The distance to the Sun is 149,597,870,700. meters
How do we write that in Scientific Notation?
Write the number down leaving out commas but show the decimal point

19. The distance to the Sun is 149,597,870,700. meters
Write the number down leaving out commas but show the decimal point
Move the decimal point until there is one digit to the left of it, counting the spaces as you go

20. The distance to the Sun is 149,597,870,700. meters
Write the number down leaving out commas but show the decimal point
Move the decimal point until there is one digit to the left of it, counting the spaces as you go

21. The distance to the Sun is 149,597,870,700. meters
Write the number down leaving out commas but show the decimal point
11 spaces
Move the decimal point until there is one digit to the left of it, counting the spaces as you go

22. The distance to the Sun is 149,597,870,700. meters
11 spaces to the left
x 1011 m
Move the decimal point until there is one digit to the left of it, counting the spaces as you go
# of spaces = the exponent

23. 0.000000000182 The diameter of a Carbon nucleus is
meters
How do we write that in Scientific Notation?
10 spaces

24. 0.000000000182 The diameter of a Carbon nucleus is
meters
How do we write that in Scientific Notation?
10 spaces
if you move to the right, put a minus sign in front of the exponent

25. The diameter of a Carbon nucleus is 0.000000000182 meters
10 spaces to the right
1.82 x m
if you move the decimal to the right, put a minus sign in front of the exponent

26. 1.495978707 x 1011 m Converting from Scientific Notation to Standard
move the decimal point
to the right for a positive exponent
 to the left for a negative exponent

27. Converting from Scientific Notation to Standard

28. Converting from Scientific Notation to Standard
1.82 x m

29. To convert from Scientific Notation back to Standard, just move the decimal point back, moving to the right for a positive power of 10, to the left for a negative power of 10 m m

30. Let’s Do Some Examples
Write the Following in Scientific Notation 17
78,942
0.0042

31. 17 78,942 0.0042 1.7 x 101 Let’s Do Some Examples
Write the Following in Scientific Notation 17
78,942
0.0042
1.7 x 101

32. 17 78,942 0.0042 1.7 x 101 7.8942 x 104 Let’s Do Some Examples
Write the Following in Scientific Notation 17
78,942
0.0042
1.7 x 101
x 104

33. Let’s Do Some Examples
Write the Following in Scientific Notation 17
78,942
0.0042
1.7 x 101
4.2 x 10-3
x 104

34. 1.7 x 104 1.7 x 10-4 Let’s Do Some Examples
Write the Following in Standard (or Long)
Form
1.7 x 104
1.7 x 10-4

35. 1.7 x 104 1.7 x 10-4 17000 Let’s Do Some Examples
Write the Following in Standard (or Long)
Form
1.7 x 104
1.7 x 10-4
17000

36. 1.7 x 104 1.7 x 10-4 17000 0.00017 Let’s Do Some Examples
Write the Following in Standard (or Long)
Form
1.7 x 104
1.7 x 10-4
17000

37. Multiplying and Dividing numbers in Scientific Notation is Easier

38. Multiplying and Dividing numbers in Scientific Notation is Easier
To multiply, just multiply the numbers together, then add the exponents
(1.7 x 104) x (2.0 x 108)
= (1.7 x 2.0) x (10(4+8))
= 3.4 x 1012

39. Multiplying and Dividing numbers in Scientific Notation is Easier
To divide, just divide the numbers then subtract the exponents
(1.0 x 106) ÷ (2.0 x 101)
= (1.0 ÷ 2.0) x (10(6-1))
= 0.5 x 105 = 5.0 x 104