can anyone give important points of real numbers of 10th class..please
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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:
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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