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Different Types of Numbers
An operation which satisfies the conditions of Existence (must get an answer), Uniqueness (must get only one answer for each number combination), and Closure (answer must be in the set we are working in).
Well-Defined Operation
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Different Types of Numbers
The numbers we use to count objects. The complete set of _______ _______ is shown as {l , 2, 3, ...}, usually called "the set N."
These numbers are also called counting numbers.
Natural Numbers
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Different Types of Numbers
The natural numbers combined with the number 0. The complete set of ______ _______ is shown as {0, I , 2, 3, ...} and usually called "the set W."
Whole Numbers
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Different Types of Numbers
The whole numbers combined with all of their opposites. The complete set is shown as {..., -3, -2, -I , 0, 1, 2, 3, ...}.
Integers
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Different Types of Numbers
The numbers that can be represented as a ratio  , where a and b are integers and b ≠ 0.
This set still includes all of the integers and is shown in set-builder notation as { a,b are integers, b ≠ 0}.
Rational Numbers
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Different Types of Numbers
The numbers that cannot be represented as a ratio of integers.
Irrational Numbers
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Different Types of Numbers
The set of numbers consisting of both rational and irrational numbers.
Real Numbers
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Different Types of Numbers
An operation which satisfies the conditions of Existence.
You must get an answer
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Different Types of Numbers
An operation which satisfies the conditions of Uniqueness .
You must get only one answer for each number combination.
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Different Types of Numbers
An operation which satisfies the conditions of Closure .
Your answer must be in the set we are working in.
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