number sets 1mpes2 ecole supérieure de commerce de neuchâtel pierre marchal 31.08.2015 attribute...
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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 !