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.

Respuesta :

Answer:

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

Step-by-step explanation:

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

A number which can be written in the form [tex]\frac{p}{q}[/tex], p and q are integers and q ≠ 0 is called a rational number.

Ex:

[tex]\frac{1}{2}[/tex] is a rational number

5 is a rational number since 5 can be written as [tex]\frac{5}{1}[/tex] and clearly, 1 ≠ 0

0 is also rational since 0 can be written as [tex]\frac{0}{1}[/tex].

A number which cannot be written in the form [tex]\frac{p}{q}[/tex] is called an irrational number.

Ex:

[tex]\sqrt{2}[/tex] is an irrational number since it cannot be written in [tex]\frac{p}{q}[/tex] form,

Hence, the correct option is D.

Answer:

Which statement is true?

A) Some integers are irrational numbers.

B) Integers can be represented as mixed numbers.

C) All rational numbers are positive numbers.

D) All rational numbers can be written as a fraction

Step-by-step explanation: