Rational Numbers and Irrational Numbers

We have learnt the following three types of number before… 1. Integers e.g. 2, 1, 0, -1, -2… 2. Fractions 3. Decimals e.g. 17.2, 2.147, 0.06, -0.04, -1.83…

Decimals A decimal with a limited number of digits after the decimal point is called a terminating decimal. For example, A decimal that repeats a digit or a sequence of digits infinitely after the decimal point is called a recurring decimal. For example,

In fact, all these types of numbers can be converted into fractions In fact, all these types of numbers can be converted into fractions. For example: These numbers are known as rational numbers.

Rational Numbers A rational number is a number which can be expressed as m (where m , n , are integers, and n ¹ 0) n

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Irrational Numbers These numbers can only be written as non-terminating numbers. They are called irrational numbers. An irrational number is a number which cannot be expressed as

Both rational numbers and irrational numbers can be represented on a number line. For example, For rational numbers For irrational numbers

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