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 the division method, we can observe four related terms, 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 of the basic arithmetic operations. In this article, we are going to discuss the term “Dividend” in Maths, with many solved examples.
Table of Contents:
- Definition
- Terms used in Division Operation
- Examples
- Formula
- Steps to Find Dividend
- Practice Problems
- FAQs
What is Dividend in Division?
The division frequently is shown in algebra by putting the dividend over the divisor with a horizontal line between them. This horizontal line is also called a fraction bar. For example, x divided by y can be represented as x/y and this can be read as “divide x by y” or “x over y”. Here, x is the dividend and y is the divisor.
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
Terminologies Used in Division Operation
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 the division process is known as the remainder
Consider an example 64 ÷ 2 = 32
Here,
Dividend = 64
Divisor = 2
Quotient = 32
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 in maths 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 process, then;
Dividend = Divisor x Quotient + Remainder
How to Find the Dividend?
To find the dividend, go through the below steps.
If the divisor and quotient value is given, the dividend can be easily found by multiplying the divisor and quotient.
Let us learn here how to find the dividend with the help of an example.
Example 1:
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 substituting the value of x,
30/6 = 5
5 = 5
Therefore, L.H.S = R.H.S
Hence verified.
In case, if the divisor, quotient and the remainder value are given, the dividend can be found as follows:
Step 1: Multiply the divisor and quotient.
Step 2: Add the remainder value to the result obtained from step 1.
Example 2:
Find the dividend, if the quotient is 6, the divisor is 9, and the remainder is 2.
Solution:
Given: Divisor = 9, quotient = 6, Remainder= 2
Step 1: Multiply 9 and 6
(9 x 6 = 54)
The product is 54.
Step 2: Add product and remainder.
(54+2 = 56)
Hence, the dividend is 56.
Verification:
If 56 is divided by 9, we get the quotient 6 and remainder 2.
(i.e) 56/9 = 6 + 2
Where 6 is quotient and 2 is a remainder.
Practice Problems
Find the dividend value “x” and also verify the answer:
- x / 3 = 10
- x / 7 = 7
- x / 5 = 125
Frequently Asked Questions on Dividend
What is the dividend in Maths?
In mathematics, the dividend is the number to be divided in the division operation. It is whole, which is divided into parts.
What is the formula to find dividend?
The formula for finding the dividend is:
Dividend = Divisor x Quotient + Remainder
Find the dividend, if the quotient is 68 and the divisor is 9.
If the quotient is 68, and the divisor is 9, then the dividend is 612. Because
Dividend = Divisor x Quotient
Therefore, dividend = 68 x 9 = 612.
What are the different terminologies used in the division process?
The different terminologies used in the division process are:
Dividend
Divisor
Quotient
Remainder
Find the value of a, if a/2 = 15.
The value of a is 30. As a = 15 x 2, which is equal to 30.
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