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Sets of numbers
1.
Sets of numbers By the end of the lesson you will be able to:
• Identify the different sets of numbers. • Distinguish between rational and irrational numbers. 1
2.
Natural numbers
= {1, 2, 3, 4,...} infinite set 18 ∈ 3.5∉ 213 ∈ 2
3.
Integer numbers
= {...,2,1, 0 , 1 ,2 ,3,...} whole negative numbers whole positive numbers zero Z is for the German "Zahlen" is an infinite set 3
4.
Rational numbers Any number that can be expressed as a fraction is a rational number. Thus,
fractions ( quotient of whole numbers) ∈ 0.25 ∈ terminating (exact) decimals recurring decimals 3.2222... ∈ ∈ 5∈ whole numbers 40 ∈ is for "quotient" 4
5.
Irrational numbers The numbers that are not rational. (can't be expressed as fractions)
π = 3.1415926535897932384626433832795 (and more...) is an irrational number is an irrational number 2,1010010001000010000010000001... 4,12345678910111213142516... 5
6.
Which of the following sets is infinite?
6
7.
Answer True or False for each statement: 12 ∈ P
1 ∉ P 5 ∈ P 6 ∈ P 3 ∈ P 0 ∈ P 7
8.
Which of these represent the empty set?
8
9.
Which is True? X ⊂ Y X ⊂ Z Z ⊂ Y
Z ⊂ X 9
10.
Rational or irrational? rational
Pull irrational Pull rational Pull rational Pull irrational Pull 10
11.
Ring any of these which are rational when n = 3
11
12.
At the end of the lesson:
Rational Not rational 12