Real Numbers Class X NCERT Solution

                           Real Numbers

In your previous class, you have already learned different types of numbers such as Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Irrational Numbers. Whatever numbers you are using up to class 10 are known as Real Numbers. 

Rational and Irrational numbers together are known as Real Numbers.

The first topic of class X maths is Real Numbers. It carries 06 marks for the board examination. Here you will get a quick summary of the topic and solution to all the exercises of NCERT class X Maths. This helps you in your board examination preparation.

Content

 

Introduction, Euclid's division Lemma, The Fundamental Theorem of Arithmetic, Irrational Numbers, Rational numbers and their Decimal Expansions.

CBSE SYLLABUS

UNIT I: NUMBER SYSTEMS 

1. REAL NUMBERS  

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

 2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as , and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

 3. Definition of nth root of a real number. 

4. Rationalization (with precise meaning) of real numbers of the type and (and their combinations) where x and y are natural numbers and a and b are integers. 5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws.)

 

Quick Revision of the Topic

NCERT Solution