1. Number Sets 1MPES2 Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 31.08.2015 http://creativecommons.org/licences/by/3.0/ Attribute to: Pierre Marchal (Jean-Piaget High School)

2. Objectives of the course By the end of the course, you should be able to: – Define and characterize number sets – Differentiate numbers (nature, writing, and ranking) – Differentiate between being a member and being a subset – Rank numbers correctly

3. Number Sets: Definition is the set of numbers is the set of (positive and negative) is the set of numbers (fractions) is the set of numbers (including irrational numbers) Natural/Counting Integers Rational Real Whole

4. Number Sets: Examples Natural/Counting Integers Rational Real Whole

5. Sketching the Number Sets 0 1 234 … … … … -5 -1000 1.2 -0.333... π : natural numbers : integers : rational numbers : real numbers : whole numbers

6. Is member of vs. is subset of A number a set, noted – Example: A number a set, noted – Example: A set of an other set, noted – Example: A set of an other set, noted – Example: is member of is not member of is a subset is not a subset

7. EXAMPLES OF APPLICATION

8. Complete with the correct set (s) 25 1.4 2.5 -0.4 -17,,,,,

9. Writing Numbers Be careful with rational, they may be written in several ways: It is always necessary to reduce fractions ! = = == = = 2

10. Ranking Numbers 0 10 5- 5 5

11. By the end of this course You are able to: – Define and characterize number sets – Differentiate numbers (nature, writing, and ranking) – Differentiate between being a member of and being a subset of – Rank numbers correctly

12. THANK YOU FOR YOUR ATTENTION See you next Monday, enjoy your week-end !