NCERT Solution CLASS 09 Number System

NCERT SOLUTION

Number System Class IX

The first chapter of class IX Maths is Number System. It carries 10 marks in the annual examination of class IX. It deals with Rational Numbers, Irrational Numbers, and their representation on the number line. This topic is also useful for the class X board Examination.

Here you will get detailed solutions of all the exercises of chapter one of NCERT.

Content

Introduction of numbers, Irrational numbers, Real numbers, and their Decimal Expansions,  Representing Real Numbers on the Number Line, Operations on Real Numbers, Laws of Exponents for Real Numbers

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 the square root of 2 and 3, 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 the 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.)

Important Questions

1. Find rational numbers between two given rational numbers.

2. Represent Irrational number on the number line

3. Find irrational numbers between given rational numbers

4. Convert non-terminating recurring numbers in p/q form

5. Rationalization

6. Problems related with Law of Exponent

NCERT Solution

Exercise 1.1 Deals with Rational numbers and finding rational numbers between two given rational numbers.

Exercise 1.2 Deals with the representation of Irrational Numbers on the number line, the construction of a Square root spiral.

Exercise 1.3 Decimal expansions of real numbers, Irrational numbers between two given Real numbers

Exercise 1.4 deals with the visualization of real numbers on the number line ( This exercise is deleted from CBSE syllabus)

Exercise 1.5 deals with Operations on real numbers, Rati0nalization of denominator

Exercise 1.6 deals with Law of exponents

 I hope these questions help you in solving other questions from different books. In the next article, we shall discuss MCQ and the problems of NCERT Exemplar, and other important questions.