Dividend

The dividend is the value or the amount which we need to divide. It is the whole which is to be divided into different equal parts. For example, if 10 is divided by 2, then the answer will be two equal parts of number 5 and 10 is the dividend here. In arithmetic operations, when we perform division method, there are four values related to each other, they are:

  • Dividend
  • Divisor
  • Quotient
  • Remainder

In Mathematics, there are four basic operations. They are addition, subtraction, multiplication and division. These fundamental operations have been taught in our primary classes. The division process is one among the basic arithmetic operations. Let us discuss here what dividend is.

Dividend Definition

In every division process, there are two necessary parts. One is a dividend, and the other is a divisor.

Dividend: The number or value or amount that we divide is known as a dividend. For example, if we have to distribute 10 toffies among 5 children, then we need to divide the 10 toffies by 5 which will result in 2 toffies for each child. Hence, the value 10 is the dividend here.

Divisor: The number which divides the dividend is known as a divisor

Quotient: The result obtained from the division process is known as a quotient

Remainder: The number left over after division process is known as the remainder

Consider an example 64 ÷ 2 = 32

Here,

Dividend = 64

Divisor = 2

Quotient = 32

Remainder = 0

It is also represented in the form of a fraction. Let us take the fraction 5/6. In this fraction, 5 is the dividend and 6 is a divisor. The dividend is known as a numerator, and the divisor is known as the denominator in fractions. When the dividend is divided by a divisor, we get a result in either integer form or decimal form.

For example, 35/7 = dividend/divisor = numerator/denominator

Dividend Examples

Let us see some examples of dividend here.

  • 20÷4 = 5; 20 is the dividend
  • 100÷4 = 25; 100 is the dividend
  • 24÷3=8; 24 is the dividend
  • 1/2 = 0.5; 1 is the dividend

Dividend Formula

The formula to find the dividend is:

Dividend = Divisor x Quotient + Remainder

Usually, when we divide a number by another number, it results in an answer, such that;

x/y = z

Here, x is the dividend, y is the divisor and z is the quotient.

Dividend/Divisor = Quotient

Hence, we can write;

Dividend = Divisor x Quotient

And if any remainder is left, after the division method, then;

Dividend = Divisor x Quotient + Remainder

Hence, is the formula.

How to Find Dividend?

Let us learn here how to find the dividend with the help of examples.

Example: Find the dividend for the following x / 6 = 5 and also verify the answer.

Solution :

Given: x / 6 = 5

We know that

Dividend / Divisor = Quotient

Therefore,

Dividend = Quotient x Divisor

x = 5 x 6

x = 30

Therefore, the dividend, x is 30.

Verification:

x / 6 = 5

Now substitute the value of x

30/6 = 5

5 = 5

Therefore, L.H.S = R.H.S

Hence, Verified.

Practice Problems

Find the dividend value “x” and also verify the answer:

  1. x / 3 =10
  2. x / 7 = 7
  3. x / 5 = 125

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