Download number sets notes

number sets notes
Number Sets
Number Sets
• Natural Numbers (N)
Positive whole numbers (although some schools of thought include zero)
• Integers (Z)
Fill in the Venn diagram below, include examples for each category.
•
•
•
•
•
Natural Numbers (N)
Integers (Z)
Rational Numbers (Q)
Irrational Numbers (Q')
Real Numbers (R)
Positive & Negative whole numbers • Rational Numbers (Q)
Any number that can be written as a fraction where the numerator is any integer and the denominator is any integer besides zero. All repeating and terminating decimals are included in this number set.
• Irrational Numbers (Q')
Any number that has an infinite non­repeating decimal. Like pi π
• Real Numbers (R)
Any number that falls into either the irrational or rational category is considered a REAL number.
is a subset of ⊆
is NOT a subset of ⊈
vs.
is an element of ∈
is NOT an element of ∉
number sets notes
R
Q
Q'
Z
N
√2
­3
6
π
0.9
_
0.3
4.5
1.2
1.805379632157532157...
Complete the following with the symbols ⊆, ⊈, ∈, ∉:
N
√36
Q
Z
Q
-1.25
Q'
-2
Q
√3
N
Q
Q
N