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Chapter 5
The Real number System
Term | Definition |
---|---|
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 |