Download REAL NUMBERS

REAL NUMBERS
Rational Numbers (Q)
Integers (Z)
Whole Numbers (W)
Natural Numbers (N)
Irrational Numbers
Natural Numbers(N):
** counting numbers from 1,2,3,4,5,................
N = {1,2,3,4,5,................}
Whole Numbers (W):
** natural numbers including zero. They are 0,1,2,3,4,5,...............
W = {0,1,2,3,4,5,..............}
Integers (Z):
** Whole Numbers together with negative numbers.
** the positive numbers, 1, 2, 3, 4, ...., and negative
numbers,............-3, -2, -1, together with zero.
** Zero is neither positive nor negative, but is both.
Z = {..., -3, -2, -1, 0, 1, 2, 3, .....}
Rational Numbers (Q):
· All numbers of the form , where a and b are integers (but b
cannot be zero)
** numbers that can be written as a fraction and/or a
decimal that repeats or terminates
examples: 2, ½, - ¾, 0.5, 0.33
Irrational Numbers:
· Cannot be expressed as a fraction.
· As decimals they never repeat or terminate (rationals
always do one or the other)
** They go on forever
examples: √3, π, √5
Real Numbers (R):
** every number, irrational or rational.
REAL NUMBERS
Rational Numbers (Q)
2/3
4.5
5.12
5/4
Integers (Z)
π
Whole Numbers (W)
Natural Numbers (N)
√9
0.45
5
Irrational Numbers
0
√7
-9
3.1415926535...
Circle the set(s) of numbers that each example falls into:
1 Ra%onal Integers Whole Natural Irra%onal
½ Ra%onal Integers Whole Natural Irra%onal
0.4567893486…. Ra%onal Integers Whole Natural Irra%onal
-­‐4.5 Ra%onal Integers Whole Natural Irra%onal
√4 Ra%onal Integers Whole Natural Irra%onal
∏ Ra%onal Integers Whole Natural Irra%onal
-­‐3 Ra%onal Integers Whole Natural Irra%onal
√10 Ra%onal Integers Whole Natural Irra%onal
1
A. natural
B. whole
C. integer
D. rational
E. irrational
-7
2
F. natural
G. whole
H. integer
I. rational
J. irrational
-0.37
3
A. natural
B. whole
C. integer
D. rational
E. irrational
√25
4
F. natural
G. whole
H. integer
I. rational
J. irrational
0.121314...
5
A. natural
B. whole
C. integer
D. rational
E. irrational
-1
1
/
2
6
F. natural
G. whole
H. integer
I. rational
J. irrational
0
7
A. natural
B. whole
C. integer
D. rational
E. irrational
8
/
4
8
F. natural
G. whole
H. integer
I. rational
J. irrational
√14
9
A. natural
B. whole
C. integer
D. rational
E. irrational
-3.27
10
F. natural
G. whole
H. integer
I. rational
J. irrational
-4
Order of Operations:
Evaluate Each Expression