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# Sets of numbers

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### Sets of numbers

1. 1. Sets of numbersBy the end of the lesson you will be able to: • Identify  the different sets of numbers. • Distinguish between rational and irrational numbers. 1
2. 2. Natural numbers   = {1, 2, 3, 4,...}  infinite set   18 ∈  3.5∉ 213 ∈ 2
3. 3. Integer numbers = {...,­2,­1,  0 , 1 ,2 ,3,...}whole negative numbers whole positive numbers zeroZ is for the German "Zahlen" is an infinite set 3
4. 4. Rational numbersAny 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. 5. Irrational numbersThe numbers that are not rational. (cant be expressed as fractions) π = 3.1415926535897932384626433832795 (and more...) is an irrational number is an irrational number 2,1010010001000010000010000001...4,12345678910111213142516... 5
6. 6. Which of the following sets is infinite? 6
7. 7. Answer True or False for each statement: 12 ∈  P 1 ∉  P 5 ∈  P 6 ∈  P 3 ∈  P 0 ∈ P 7
8. 8. Which of these represent the empty set? 8
9. 9. Which is True? X  ⊂  Y X  ⊂  ZZ  ⊂  Y Z  ⊂  X 9
10. 10. Rational or irrational? rational Pullirrational Pull rational Pull rational Pullirrational Pull 10
11. 11. Ring any of these which are rational when n = 3 11
12. 12. At the end of the lesson: Rational Not rational 12