FAQs on Introduction: Real Numbers

Question 1

1. What are real numbers?

Accepted Answer

Ans. Real numbers are a set of numbers that include both rational and irrational numbers. They are represented on the number line and can be positive, negative, or zero.

Question 2

2. How are real numbers different from rational numbers?

Accepted Answer

Ans. Real numbers include both rational and irrational numbers, while rational numbers are a subset of real numbers. Rational numbers can be expressed as fractions or terminating or repeating decimals, whereas real numbers include all possible numbers on the number line.

Question 3

3. What are examples of real numbers?

Accepted Answer

Ans. Examples of real numbers include integers (-3, 0, 5), fractions (1/2, 3/4), decimals (1.25, 3.6), square roots of non-perfect squares (√2, √5), and irrational numbers such as π and e.

Question 4

4. How do you identify if a number is a real number?

Accepted Answer

Ans. All numbers that can be represented on the number line are real numbers. If a number can be written as a fraction, terminating or repeating decimal, or an irrational number, then it is a real number.

Question 5

5. Are all real numbers also whole numbers?

Accepted Answer

Ans. No, not all real numbers are whole numbers. Whole numbers are a subset of real numbers that include positive integers (0, 1, 2, 3, ...) and zero. Real numbers also include fractions, decimals, and irrational numbers, which are not considered whole numbers.

Introduction Real Numbers Video Lecture - (Maths) Class 10

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