1. Counting numbers 42 Real numbers Irrational numbers Integers
Integers
-17
Rational numbers
Whole numbers
3 ½

2. 1.1 What are integers and how are they related to other numbers?

4. The first number system you ever used as a child was the _______________ numbers or ___________________ numbers.
They are made up of the numbers you used to _________________ how many of something. ( )
natural
counting
count
1, 2, 3, 4, 5, 6, 7, 8, ………

5. Natural
(Counting Numbers)
1,2,3,4,5,…

6. As you got older you realized that you needed a symbol to represent nothing. The symbol used to represent nothing is ___________.
As soon as you used this new symbol, you were using a new set of numbers called the ____________ numbers.
___________numbers are all of the _______________ numbers and ________.
( )
0 “zero”
whole
Whole
counting
zero
0, 1, 2, 3, 4, 5, 6, 7, ………

7. Whole
Natural
(Counting Numbers)
1,2,3,4,5,…

8. zero integers whole opposites Opposites same zero different
Then, as you got even older and more sophisticated, you began to see a need to represent numbers smaller than _______________.
zero
These numbers are called ________________. They are made up of all of the _______________ numbers and their __________________.
integers
whole
opposites
Opposites
__________________ numbers are numbers that are the __________ distance from ____________ on a number line in ________________directions. ( )
same
zero
different
…-4,-3, -2, -1, 0, 1, 2, 3, 4, …

9. Integers Whole Natural All whole numbers and their opposites.
Includes Negatives.
Whole
-18
Natural
(Counting Numbers)
1,2,3,4,5,… -3

10. part rational fraction ratio integers ratio/fraction
Just when you thought you could not get more sophisticated, you realized that there needed to be ways to represent a _________ of something. These numbers are called ________________ numbers.
part
rational
They are numbers that can be written as a __________ or a __________________ using ______________.
Examples would be…
ratio
fraction
integers
Can you think of a number that cannot be written as a _____________?
ratio/fraction

11. Rational Numbers: Numbers that can be written as a fraction or the ratio of two integers.
*Includes repeating and terminating decimals
-3/4 .6
-0.3
Integers
All whole numbers and their opposites.
Includes Negatives.
Whole
-18
Natural
(Counting Numbers)
7/10
1,2,3,4,5,… -3

12. Now, just when you think there can’t be any other numbers, SURPRISE, there are.
They are called ____________________ numbers and they are numbers that ______________ be written as a _______________ using only ________________.
irrational
CAN NOT
ratio/fraction
integers

13. means what number multiplied by ________________ equals 4? square root
The operations that you are familiar with are +, -, x, ÷, and exponents. Another operation is finding the ________ _________of a number. The symbol for this is ___.
means what number multiplied by ________________ equals 4?
square
root
itself

14. these are called perfect squares 2 ? 3 4 16
Counting numbers 1
these are called perfect squares 2 ? 3 4 16
This is not a perfect square because there is no integer that can be multiplied by itself to equal the answer.
Can you think of some other irrational numbers? 5 25 36 6 7 49 8 64 9 81

15. Rational Numbers: Numbers that can be written as a fraction or the ratio of two integers.
*Includes repeating and terminating decimals
Irrational Numbers
Numbers that can NOT be written as a fraction or the ratio of two integers.
Non-repeating, non-terminating decimals.
-3/4 .6
-0.3
Integers
All whole numbers and their opposites.
Includes Negatives.
Whole
-18
Natural
(Counting Numbers)
7/10
1,2,3,4,5,… -3 π

16. All of the numbers we have talked about are in one BIG group called the _____________ numbers.
real

17. Real Numbers: Both Rational and Irrational Numbers
Rational Numbers: Numbers that can be written as a fraction or the ratio of two integers.
*Includes repeating and terminating decimals
Irrational Numbers
Numbers that can NOT be written as a fraction or the ratio of two integers.
Non-repeating, non-terminating decimals.
-3/4 .6
-0.3
Integers
All whole numbers and their opposites.
Includes Negatives.
Whole
-18
Natural
(Counting Numbers)
7/10
1,2,3,4,5,… -3 π

18. Please get out your homework and your graphic organizer
Please get out your homework and your graphic organizer. Quietly get your clicker.

19. Answer the following 50 2
100 10

20. Participant Leaders Points Participant 100 Chambers McKim Perry
Raifsnider
Renehan
Van de Castle
McClintock
Wine

21. Answer the following 5
2.5 25 7

22. What is the BEST name of the following number?7
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

23. Participant Leaders Points Participant 300 Chambers McKim Raifsnider
Van de Castle
200
McClintock
Perry
Renehan
100
Wine

24. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

25. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

26. Participant Leaders Points Participant 500 Van de Castle 400 Chambers
McKim
Raifsnider
Renehan
300
McClintock
Perry
Wine

27. What is the BEST name of the following number?
-21
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

28. Fastest Responders Seconds Participant 7.828 McClintock 8.969
Van de Castle
14.75
Raifsnider
15.031
Renehan

29. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

30. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

31. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

32. Participant Leaders Points Participant 800 Van de Castle 600
Raifsnider
500
McClintock
Renehan
400
Chambers
McKim
Perry
300
Wine

33. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

34. If a number is a whole number it is ALWAYS an integer.
True
False

35. What is the BEST name of the following number?
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

36. What is the BEST name of the following number?
3.65
Counting number
Irrational number
Real number
Integer
Rational number
Whole number

37. If a number is a counting number, it is always an integer.
True
False

38. Participant Leaders Points Participant 1200 Van de Castle 900 Renehan
700
Perry
Raifsnider
600
Chambers

39. If a number is an irrational number it is never a whole number.
True
False

40. If a number is an integer it is never a rational number.
True
False

41. Participant Leaders Points Participant 1200 Van de Castle 1000 Renehan
800
Perry
Raifsnider
700
Chambers
McClintock
Wine
600
McKim