Types Of Numbers – Natural Numbers, Integers, Rational Numbers

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Types of Numbers – Natural Numbers, Integers, Rational Numbers
  • SchoolTutoring Academy
  • March 6, 2012
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Types of Numbers – Natural Numbers, Integers, Rational Numbers

Types of Numbers – Natural Numbers, Integers, Rational Numbers 150 150 SchoolTutoring Academy March 6, 2012 December 2, 2014

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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