What is a Rational
Number?
The definition of a rational number is “A number which can be
expressed in the form of p/q or fraction where p and q are integers
and q ≠ 0 is a Rational Number.
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Examples of Rational
Numbers
All the integers and decimal numberes can be expressed in the
form of p/q or fraction of two integers. For example 0 = 0/1, 1 = 2/2, -2 =
-4/2, 0.5 = ½, 1.25 = 5/4, 0.3333… = 1/3 etc. Therefore, 0, 1, -2, 0.5, 1.25,
0.3333… etc. are some examples of rational numbers
Rational numbers include all the integers on a number line along
with the fractions between integers. Look at the number line given below.
The set of rational numbers is denoted by Q.
Q = {… -1, …, -¾, …, -½, …, -¼, …, 0, …, ¼, …, ½, …, ¾, …, 1, …}
Note:
- There
are infinitely many rational numbers between any two integers.
- There
are infinitely many rational numbers between any two rational numbers.
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