Number Sets1MPES2

Ecole Supérieure de Commerce de Neuchâtel

Pierre Marchal31.08.2015

http://creativecommons.org/licences/by/3.0/Attribute to: Pierre Marchal (Jean-Piaget High School)

Objectives of the courseBy 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

Number Sets: Definition

is the set of numbers

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

Number Sets: Examples

Natural/Counting

Integers

Rational

Real

Whole

Sketching the Number Sets

0

1234

…

…

…

…

-5

-1000

1.2

-0.333...

π

: natural numbers : integers : rational numbers

: real numbers

: whole numbers

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 subsetis not a subset

EXAMPLES OF APPLICATION

Complete with the correct set (s)• 25

•

• 1.4

•

•

• 2.5

•

• -0.4

•

• -17

•

,

, ,

,

,

Writing Numbers• Be careful with rational, they may be written

in several ways:

• It is always necessary to reduce fractions !

= = = = = = 2

Ranking Numbers

0 10

5 - 5

5- 5

By the end of this courseYou 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

THANK YOU FOR YOUR ATTENTIONSee you next Monday, enjoy your week-end !