How is a point representing an irrational real number shown on the number line?
Answer and explanation
Correct answer: It is a definite point between two integers, although its decimal expansion is non-terminating and non-repeating.
An irrational number has a non-terminating, non-repeating decimal expansion, but it is still a real number and has one fixed point on the number line. For example, \(\sqrt{2}\) lies between 1 and 2. Exam tip: every real number corresponds to a point on the number line.
Frequently asked questions
What is the correct answer to this question?
It is a definite point between two integers, although its decimal expansion is non-terminating and non-repeating.
Why is this the correct answer?
An irrational number has a non-terminating, non-repeating decimal expansion, but it is still a real number and has one fixed point on the number line. For example, \(\sqrt{2}\) lies between 1 and 2. Exam tip: every real number corresponds to a point on the number line.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
