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Real Number System
Real Number System
-18, -1/2, 0, sqrt 2, pi, 47/10
Irrational Numbers
pi, sqrt 7
Rational Numbers
-35, -7/8, 0, 5, 27/11
Noninteger Rational Numbers
-14/5, 9/10, 30,13
Integers
-10, 0, 8
Negative Integers
-20, -13, -1
Whole Numbers
0, 2, 56, 198
Zero
0
Natural Numbers or
Positive Integers
1, 16, 170
The Set of Numbers
• Natural Numbers
– The set of natural numbers contains
{1, 2, 3,…}
• Whole Numbers
– The set of whole numbers contains
{0, 1, 2, …}
• Integers
– The set of integers contains
{…, -3, -2, -1, 0, 1, 2, 3, …}
Set of Real Numbers, cont’d
• Rational Numbers –the set of all numbers that
can be expressed as a quotient of integers
• Irrational Numbers – the set of all numbers
that correspond to points on the number line
but that are not rational numbers. That is, an
irrational number is a number that cannot be
expressed as a quotient of integers.
• Real Numbers – is the set of all numbers each
of which correspond to a point on the number
line.
Martin-Gay, K. E. (2001). Beginning Algebra, 3rd ed. Prentice-Hall, Inc., Upper Saddle River, NJ.