Maths Notes Class 10 Chapter 1

 Maths Notes Class 10 Chapter 1


Maths Notes Class 10 Chapter 1 ,Maths Notes Class 10 Chapter 1 pdf,class 10 maths chapter 1

CLASS 10 CBSE MATHEMATICS NOTES 

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Real numbers are values that are used to represent continuous quantity. The first section starts with the introduction of real numbers and the two important properties of real numbers namely:
1. Euclid's division algorithm, as the name suggests, it is related to the divisibility of integers.
It states that a positive integer 'a' can be divided by another positive integer 'b' in such a way that it leaves a remainder 'r' that is smaller than 'b'.                                                                                                                                                                     
2. The fundamental theorem of arithmetic: It deals with the multiplication of positive integers.
Every composite number can be expressed as a product of primes in a unique way. 
This theorem has significant applications in mathematics. The two main applications of the fundamental theorem of arithmetic are cited in this section: 
a. To prove the irrationality of numbers such as, 2–√2, 3–√3 and 5–√5 .                                                                                               
b. To explore when exactly the decimal expansion of a rational number is terminating and when it is not terminating.               
Various solved examples are given to make the problems more understandable.  Section 1.4 explains the topic of revisiting irrational numbers. A number is irrational if it cannot be written in the form of p/q where q = 0. Two theorems are explained which will help in proving the irrationality of numbers. A few examples are shown that how a number is proven irrational.  A short exercise is given for the assessment of students. The last section comprises of the topic- Revisiting rational numbers and their decimal expansion. Two types of decimal expansion are discussed.








 

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