CBSE Notes for class 10 th
1. Real Numbers Mathematics class 10 in english Medium CBSE Notes | Key Points and Introduction. The most popular cbse notes prepared by latest cbse and ncert syllabus in both medium.;
1. Real Numbers : Key Points and Introduction Mathematics class 10th:English Medium NCERT Book Solutions
NCERT Books Subjects for class 10th Hindi Medium
1. Real Numbers
Key Points and Introduction
Numbers
There are two types of Numbers.
1. Real Numbers
2. Complex Numbers (Real numbers + Imaginary Numbers)
Real Numbers: The numbers which can be represented on the number line by a unique point are called real numbers.
Examples: -1, -2, -3, -4 ....................... , and 1, 2, 3, 4, 5.........................
Complex Numbers: Coplex numbers are the numbers which consist of both real and Imaginary numbers.
Examples: 2 + i√3, where 2 is real part and i√3 is imaginary part.
Real Numbers
(A) Rational Numbers: The numbers which can be express in the form of p/q, and q≠0 such a numbers are known as real numbers.
(B) Irrational Numbers: The numbers which are not rational numbers but these an be represented on a number line, such numbers are known as irrational numbers.
Rational Numbers
(I) Integers:
(a) Whole numbers: These are the set of positive integers from 0. Which have not decimal and fractional part. Such numbers are known as whole numbers.
Example: 0, 1, 2, 3, 4, 5, ...........................
(i) Natural Numbers: Natural numbers counting begin from 1 to ∞ (infinty). such numbers are called natural numbers.
Ex: 1, 2, 3, 4, 5 ....................................... ∞.
(ii) Zero: 0
(b) Negative integers: The numbers before 0 on number line is called as negative integers these are -1, -2, -3, -4 ............................. -∞.
(II) Fractional Numbers:
(a) Proper fraction
(b) Improper fraction
Natural numbers
(a) Odd Numbers: The numbers which can not be divided by 2 are called odd numbers.
Example: 1, 3, 5, 7, 9, 11, 13, 15 ................................................. ∞.
(b) Even Numbers: The numbers which can be divided by 2 are called even numbers.
Example: 2, 4, 6, 8, 10, 12, 14, 16 ................................................ ∞.
(c) Prime Numbers:
(d) Composite Numbers:
(e) Co-prime Numbers:
(f) Perfect Numbers:
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