December 8, 2022

## Greatest Integer Function

The Greatest integer function is defined as   ,   where    denotes the greatest integer that is less than or equal to . In set  notation we would write this as   . It is also called the floor function  and step function. Example.  ,      and Domain and Range of …

## Squaring of numbers using formulae

Squaring of numbers  means multiplying a number by itself. There are various formulae used in general mathematics  to square numbers instantly. Let us discuss them one by one. (i) This formula is generally use  to square  those numbers which are near multiples of 10.  For example ,  suppose we have …

## Divisibility rules or Divisibility tests

A number is said to be divisible by another number if the remainder is zero. Divisibility rules or divisibility tests are a set of general rules that are often used to determine whether or not a number is completely divisible by another number.  In this article,  some  divisibility tests are …

## Cardinality of a set and practical problems based on sets

Cardinality  of a set : cardinality of a set, which is basically the size of the set. The cardinality of a set is denoted by .  For finite sets , cardinality is  simply the number of  distinct elements in . For example, if, then =5. Important  results on numbers of elements …

## Finding rational numbers between two given rational numbers

Rational numbers between two given rational numbers A rational number is a number which can be written in the form of . We can find  infinitely many rational numbers between any two rational numbers. This property of rational numbers is known as the dense property. Methods to  find  rational numbers …

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