Question

Which of the following statements is true if p is an internet and q is a nonzero integer?

A. An irrational number can be written as a fraction p/q.
B. A rational number can not be written as a fraction p/q.
C. All numbers can be written as a fraction p/q.
D. A rational number can be written as a fraction p/q.

Answer 1

D. A rational number can be written as a fraction p/q

Explanation:

All real numbers are classified into two major categories namely rational and irrational numbers.

A number which can be written in the form
`(p)/(q)`, p and q are integers and q ≠ 0 is called a rational number.

Ex:

`(1)/(2)` is a rational number

5 is a rational number since 5 can be written as
`(5)/(1)` and clearly, 1 ≠ 0

0 is also rational since 0 can be written as
`(0)/(1)`.

A number which cannot be written in the form
`(p)/(q)` is called an irrational number.

Ex:

`√(2)` is an irrational number since it cannot be written in
`(p)/(q)` form,

Hence, the correct option is D.