Division

Definition:
Division is the process of separating or distributing something into equal parts or groups.

Explanation:
Division is one of the basic arithmetic operations and is used to divide a whole into smaller equal parts or groups. It involves splitting a given quantity or number into equal parts or groups.

When we divide, we start with a whole or a total quantity and divide it into smaller parts or groups. Each part or group is called a "quotient". The number being divided is called the "dividend" and the number by which we divide is called the "divisor". The resulting number after division is called the "quotient".

Example:
Let's take an example to understand division more clearly. Suppose we have 12 cookies and we want to distribute them equally among 3 friends. We can use division to find out how many cookies each friend will get.

- Dividend: 12 (number of cookies)
- Divisor: 3 (number of friends)

To find out how many cookies each friend will get, we divide 12 by 3:

12 ÷ 3 = 4

So, each friend will get 4 cookies. The process of dividing 12 cookies equally among 3 friends is an example of division.

Signs and Symbols:
The division operation is denoted by the division sign "÷" or a forward slash "/". The dividend is written on the top and the divisor is written at the bottom.

Properties of Division:
- Division is the inverse operation of multiplication.
- Division by zero is undefined.
- The order of the numbers being divided does not affect the result.

Applications:
Division is used in various real-life situations, such as:
- Sharing food or objects equally among a group of people.
- Calculating the average or mean of a set of numbers.
- Calculating rates and percentages.
- Solving problems involving ratios and proportions.

In conclusion, division is the process of separating or distributing something into equal parts or groups. It is an essential arithmetic operation used in various mathematical and real-life situations.