Rational Numbers:3, 3/8, -4/9
Irrational Numbers: √2, 22/7, Euler's no, e =2.7182818284590452353
Further explanation:
Let us define rational and irrational numbers first
The numbers which can be written in the form of p/q where p and q are integers and q≠0 are called rational numbers.
And
The numbers which cannot be written int he form of p/q are called irrational numbers. Decimal numbers which are non-terminating and non-repeating are also irrational numbers. Non-terminating means that the fraction is never fully divided and non-repeating means there is no pattern in the digits after the decimal point.
Examples of Rational Numbers:
a. 3 , as 3 can be written in the form of 3/1, fraction of two integers so it is a rational number.
b. 3/8 is also a rational number as it is a fraction and 3,8∈Set of integers
c. -4/9
Examples of Irrational Numbers:
a. [tex]\sqrt{2}[/tex] is an irrational number as it cannot be expressed in the form of fraction.
b. 22/7 is also an irrational number as it cannot be expressed in the fractional form. The decimal value is non-terminating and non-repeating.
c. Euler's number e = 2.7182818284590452353
As it is non-terminating and non-repeating , it is also an example of irrational number.
Keywords: Rational Numbers, Irrational Numbers
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