Chapter 1 Number Systems | Class 9 Maths | Support Material 2022-23 | CBSE Exam 2023
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In this video you get a solution of Chapter 1 Number Systems for Class 9 Mathematics from Support Material 2022-23
Real Numbers and their Decimal Expansions
Representing Real Numbers on the Number Line
Operations on Real Numbers
Laws of Exponents for Real Numbers
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Important points and formula:
A number r is called a rational number, if it can be written in the form p/q, where p and q are integers and q not equal to 0.
A number s is called a irrational number, if it cannot be written in the form p/q, where p and q are integers and q not equal to 0.
The decimal expansion of a rational number is either terminating or non-terminating recurring. Moreover, a number whose decimal expansion is terminating or non-terminating recurring is rational.
The decimal expansion of an irrational number is non-terminating non-recurring. Moreover, a number whose decimal expansion is non-terminating non-recurring is irrational.
All the rational and irrational numbers make up the collection of real numbers.
There is a unique real number corresponding to every point on the number line. Also, corresponding to each real number, there is a unique point on the number line.
If r is rational and s is irrational, then r + s and r – s are irrational numbers, and rs and r/s are irrational numbers, r not equal to 0.
