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Subsets of Real Numbers
Different Subsets of Real Numbers
7
Mathematics
7th Grade
08/06/2013

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Term
Natural/Counting Numbers 
Definition

are the numbers we use in counting things, that is {1, 2, 3, 4, . . . }. The three dots, called ellipses, indicate that the pattern continues indefinitely.


 

Term
Whole Numbers 
Definition
are numbers consisting of the set of natural or counting numbers and zero.
Term
Integers 
Definition
the result of the union of the set of whole numbers and the negative of counting numbers
Term
Rational Numbers 
Definition
are numbers that can be expressed as a quotient  a/b of two integers. The integer a is the numerator while the integer b, which cannot be 0 is the denominator. This set includes fractions and some decimal numbers.
Term
Irrational Numbers 
Definition
are numbers that cannot be expressed as a quotient  a/b of two integers. Every irrational number may be represented by a decimal that neither repeats nor terminates
Term
Real Numbers 
Definition
are any of the numbers from the preceding subsets. They can be found on the real number line. The union of rational numbers and irrational numbers is the set of real numbers.
Term
Number Line 
Definition
a straight line extended on both directions as illustrated by arrowheads and is used to represent the set of real numbers. On the real number line, there is a point for every real number and there is a real number for every point. 
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