FAQs on Practice Questions: Real Number

Question 1

1. What is a real number?

Accepted Answer

Ans. A real number is a number that can be expressed as a finite or infinite decimal representation. It includes rational numbers (such as fractions and integers) and irrational numbers (such as square roots and pi).

Question 2

2. How do real numbers differ from imaginary numbers?

Accepted Answer

Ans. Real numbers represent quantities that can be measured in the physical world, while imaginary numbers are used to represent quantities that cannot be measured physically. Real numbers are typically denoted by the symbol 'R,' while imaginary numbers are denoted by the symbol 'i.'

Question 3

3. Can all real numbers be expressed as fractions?

Accepted Answer

Ans. No, not all real numbers can be expressed as fractions. Rational numbers are real numbers that can be expressed as fractions, but there are also real numbers called irrational numbers that cannot be written as fractions. Examples of irrational numbers include the square root of 2 and pi.

Question 4

4. What is the difference between a real number and a whole number?

Accepted Answer

Ans. A real number is a number that can be expressed as a decimal representation, while a whole number is a non-negative integer (including zero). In other words, all whole numbers are real numbers, but not all real numbers are whole numbers.

Question 5

5. Are negative numbers considered real numbers?

Accepted Answer

Ans. Yes, negative numbers are considered real numbers. Real numbers include both positive and negative numbers, as well as zero. So, any number that can be expressed as a decimal is a real number, regardless of its sign.

Class 10 Maths Chapter 1 Practice Question Answers - Real Numbers

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