NCERT Exemplar for Class 9, Maths Chapter 1

NCERT Exemplar Class 9 Maths Chapter 1: Number Systems. NCERT Exemplar Solutions for Class 9 Maths Chapter 1 Number Systems prepare students for their Class 9 exams thoroughly.

Maths problems and solutions for the Class 9 pdf are provided here which are similar to the questions being asked in the previous year’s board.

Contents

1 NCERT Exemplar Class 9 Maths Chapter 1: Number Systems

NCERT Exemplar Class 9 Maths Chapter 1: Number Systems

Class 9: Maths Chapter 1 solutions. Complete Class 9 Maths Chapter 1 Notes.

Main Concepts and Results

Rational numbers
Irrational numbers
Locating irrational numbers on the number line
Real numbers and their decimal expansions
Representing real numbers on the number line
Operations on real numbers
Rationalisation of denominator
Laws of exponents for real numbers

A number is called a rational number, if it can be written in the form p/q, where p and q are integers and q ≠ 0.
A number which cannot be expressed in the form p/q (where p and q are integers and q ≠ 0) is called an irrational number.
All rational numbers and all irrational numbers together make the collection of real numbers.
Decimal expansion of a rational number is either terminating or non-terminating recurring, while the decimal expansion of an irrational number is non-terminating non-recurring.
If r is a rational number and s is an irrational number, then r+s and r-s are irrationals.
Further, if r is a non-zero rational, then rs and r/s are irrationals.
For positive real numbers a and b :
If p and q are rational numbers and a is a positive real number, then