summary of chapter 1 number system please little long
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Mathematics NCERT Grade 9, Chapter 1: Number Systems- Basics of number line and representation on number line is already discussed in earlier classes. Rational numbers and Irrational numbers are defined in this chapter
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 ≠ 0.
Irrational numbers are also explained in section 1.2.
A number s is called an irrational number, if it cannot be written in the form of p/q, where p and q are integers and q≠0.
One can learn the representation of the irrational number on the number line in section 1.2.
A short exercise 1.2 is given which also has a small activity on square root spiral. Moving forward students will learn about real numbers and their decimal expansions.
The decimal expansion of a rational number is either terminating or non-terminating recurring.
The decimal expansion of an irrational number is non-terminating and non-recurring.
Real numbers are made up of the collection of rational numbers and irrational numbers.
In the next section, the topic of representing real numbers on the number line is explained through successive magnification.
Real number is represented by a unique point on the number line.
Point on the number line represents one and only one real number.
Exercise 1.4 contains only two questions. After that, operations on real numbers is discussed. In this section rationalization of the denominator is explained. Section 1.6 is about the laws of exponents for real numbers. Some important rules are discussed in this section. Students must remember these points to solve the problems on the same topic. Students can attempt the exercise 1.6 after going through the examples.
Later in section 1.7 summary of the chapter Number Systems is given.
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