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# Chapter 5

### The Real number System

TermDefinition
Natural Numbers All positive numbers, known as the counting numbers; no fractions or decimals; 1, 2, 3, 4, ...
Whole Numbers All positive numbers and zero; no fractions or decimals; 0, 1, 2, 3, ...
Integers Positive and negative numbers; no fractions or decimals; -3, -2, -1, 0, 1, 2, 3, ...
Closed/Closure When you perform operations such as addition or multiplication on the numbers in a set, the operations could produce a defined value that is also in the set. When this happens, the set is said to be closed.
Rational Numbers Any number that can be written in fraction form
Irrational Number Numbers that cannot be written as fractions, example: pi
Terminating Decimal A number that has a last digit; example 0.125
Repeating Decimal A decimal number with digits that repeat; example 0.1313131313...
Bar Notation A repeating decimal that has a bar over the digits that are repeating
Real Numbers The set of rational numbers and irrational numbers
Venn Diagram a diagram that represents how two sets of numbers are related
Created by: cbaumler