Ayush Agarwal Maths

💯👩‍🏫      💯👩‍🏫            💯👩‍🏫         💯👩‍🏫      💯👩‍🏫  Hello friends welcome to ayushagarwal_maths page. Are you preparing for board exams or competitive exams than you are at the right place to enhance your knowledge.                             REAL NUMBERS  Real numbers - Real numbers are the numbers which can be obtained on the number line. Real numbers are denoted by 'R'. They includes Natural numbers, Whole numbers, Integers, Rational numbers, Irrational numbers.  Natural numbers - Natural numbers are the counting and ordering numbers (excluding 0) i.e. N = { 1, 2, 3, 4, 5, .......... } Whole numbers- Whole numbere are collection of natural numbers including zero (0) i.e. W = {0, 1, 2, 3, 4, 5, ........ }  Integers - Integers consist of natural numbers, their negatives and zero i.e. Z = { ....... -3, -2, -1, 0, 1, 2, 3, 4, 5, ........... }  Prime numbers - A prime number is defined as a number that has no factor other than 1 and its

Rational numbers :- The numbers of the form p/q , where p and q are integers and q is not equal to zero, q≠ 0 , are called rational numbers.  0 is neither positive nor negative.  Example-  Numbers 3/5 , -1/14 is a rational number.  - Every integer is a rational number.  - Every whole number is a rational number because every whole number can be expressed as a fraction. Positive rationals - A rational number is said to be positive if its numerator and denominator are either both positive or both negative.  Example - 3/7 or -6/11 are positive rationals.  Negative rationals - A rational number is said to be negative if its numerator and denominator are of opposite signs.  Example- -7/9, 4/-11 are negative rationals.  Some important facts :- 1. The product of a rational number and its reciprocal is 1. 2.  Zero '0' has no reciprocal.  3. The reciprocal of a positive rational number is positive.  4. The reciprocal of a negative rational number is negative.  5. Every natural number N