11. What is asked?
12. What are the given facts?
13. What is the formula?
Answers
Step-by-step explanation:
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
Remainder = 0
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
Hence, this is the formula.
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
Step-by-step explanation:
1) say something in order to obtain an answer or some information is called asked.
examples:
I asked her what she meant
Mary asked her dad for money
2) a thing that is known or proved to be true is called fact
examples:
The leaves of growing plants are usually green.
some people keep dogs as pets
3) a mathematical relationship or rule expressed in symbols is called formula.
example:
the formula for the capacitance of a spherical capacitor.