Question

Which of the following statement is true?
(1) Every point on the number line represents a rational number
(2) Irrational numbers cannot be represented by points on the number line
(3) 22/ 7 is a rational number
(4) None of these

Answer 1

Answer:

(1) Every point on the number line represents a rational number

(2) Irrational numbers cannot be represented by points on the number line

(3) 22/ 7 is a rational number

All three options are true

Answer 2

From the following, statement 3 alone is true.

• In a number line, all the numbers are seen to be different and not any particular kind.
• These kinds can include a rational, irrational, or natural number.
• Hence, Statement 1 is false.
• Irrational numbers correspond to real numbers.
• Real numbers can be represented in a number line and so do irrational numbers.
• Hence, Statement 2 is false.
• Rational numbers are represented as a fraction of two numbers p and q such that q$\neq$0.
• ⇒Rational number = $\frac{p}{q}$

• Since  $\frac{22}{7}$ is of this form. Hence, it is a rational number
• Hence, Statement 3 is true.