Which statement is correct about representing an irrational number on the number line?
Answer and explanation
Correct answer: An irrational number is represented by a unique point on the number line and has a non-terminating, non-repeating decimal expansion.
Every real number corresponds to exactly one point on the number line. Irrational numbers such as \(\sqrt{2}\) have non-terminating, non-repeating decimals, so B and D are false. Exam tip: check whether an endless decimal repeats before classifying it.
Frequently asked questions
What is the correct answer to this question?
An irrational number is represented by a unique point on the number line and has a non-terminating, non-repeating decimal expansion.
Why is this the correct answer?
Every real number corresponds to exactly one point on the number line. Irrational numbers such as \(\sqrt{2}\) have non-terminating, non-repeating decimals, so B and D are false. Exam tip: check whether an endless decimal repeats before classifying it.
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.
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