Answer to Question #133744 in Algebra for benjamin

Question

no integer is an irrational number

Answer 1

$Integers$ are the whole numbers, negative whole numbers and zero.

$I=\{...-3,-2,-1,0,1,2,3...\}$

And all the integers can be written as p/q

Where $q=1$

For Example:- $3/1, -3/1, 6/1, 98/1$

By the definition all rational numbers can be written in form of p/q.

Therefore,

All the integers are rational numbers.

And

An Irrational numbers are numbers can be written as a decimals but not as fractions.

For Example:- $\pi, 3^{1/2},5^{1/2},e...$

So,

"No integer is an irrational number" is a true statement.