A number is used to count and measure. Numbers are classified according to type. Below are different types of numbers.
Natural numbers:
Denoted by N, are counting numbers from 1, 2, 3, 4,……Natural numbers are used for counting and ordering.
Whole numbers:
Denoted by W, are natural numbers including 0. They are 0, 1, 2, 3, 4……
Integers:
Denoted by Z, these are whole numbers with negative numbers. These are the set containing the positive and negative numbers together with zero.
Rational Numbers:
Denoted by Q, rational numbers are of form a/b, where a and be are integers. Rational numbers include fractions:
Proper fraction: fractions less than 1. e.g. 3/4, 7/3
Improper fraction: fractions greater than 1. e.g. 8/5, 9/2
Mixed fraction: consists of whole number and a proper fraction. e.g. 4 1/3, 8 2/9
Decimal numbers, Powers and square roots may also form rational numbers.
Irrational Numbers:
Denoted by Q1, these are numbers that cannot be expressed at fraction (or ratio). They may be endless (non-terminating) non-repeating decimals.
Real Numbers:
Denoted by R, it consists of natural numbers, whole numbers, integers, rational numbers and irrational numbers. Irrational numbers are Real numbers but not all Real numbers are irrational numbers.
R = Q + Q1
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