What is the difference between divisor, dividend, numerator, and denominator?
Answer
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Hint: In the given question, we are supposed to find the difference between divisor, dividend, nominator, and denominator. We start to solve the problem by defining all terms and differentiating them using an example.
Complete step-by-step solution:
We are supposed to find the difference between divisor, dividend, nominator, and denominator. We will be solving the given question by defining all the terms through examples.
A fraction is used to represent the portion or the part of the entire or whole thing. It is generally represented as follows,
$\Rightarrow \dfrac{a}{b}$
Here,
$a$ is the numerator of the fraction
$b$ is the denominator of the fraction
For Example
$\Rightarrow \dfrac{1}{2},\dfrac{2}{5}$
The dividend is the number that is to be divided.
The divisor is the number that divides the dividend.
The result of the division between the dividend and divisor gives us the quotient.
$\Rightarrow \text{Quotient}=\dfrac{\text{Dividend}}{\text{Divisor}}$
In the above formula,
The dividend is the nominator of the fraction
The divisor is the denominator of the fraction
Let us understand the terms divisor, dividend, nominator, and denominator through an example.
Example-
Qn: What is the dividend and divisor for $48\div 8$ ?
From the rules of arithmetic,
The expression $a\div b$ can also be written as $\dfrac{a}{b}$
Following the same for the expression $48\div 8$ , we get,
$\Rightarrow \dfrac{48}{8}$
From the above, we can say that,
Dividend $=\;$ 48;
Divisor $=\;$ 8
Also, we can say that the numerator of the above fraction $\dfrac{48}{8}$ is 48 and the denominator of the above fraction $\dfrac{48}{8}$ is 8.
Note: We must remember that the value of the divisor cannot be equal to zero. In the case of limits if the divisor is 0 the result of division is infinity. The word infinity signifies the length of the number. In the case of limits, we only assume that the value of limit x tends to something and not equal to something. So, we consider it infinity. In normal cases, if the value of the divisor is zero, then the division is undefined.
Complete step-by-step solution:
We are supposed to find the difference between divisor, dividend, nominator, and denominator. We will be solving the given question by defining all the terms through examples.
A fraction is used to represent the portion or the part of the entire or whole thing. It is generally represented as follows,
$\Rightarrow \dfrac{a}{b}$
Here,
$a$ is the numerator of the fraction
$b$ is the denominator of the fraction
For Example
$\Rightarrow \dfrac{1}{2},\dfrac{2}{5}$
The dividend is the number that is to be divided.
The divisor is the number that divides the dividend.
The result of the division between the dividend and divisor gives us the quotient.
$\Rightarrow \text{Quotient}=\dfrac{\text{Dividend}}{\text{Divisor}}$
In the above formula,
The dividend is the nominator of the fraction
The divisor is the denominator of the fraction
Let us understand the terms divisor, dividend, nominator, and denominator through an example.
Example-
Qn: What is the dividend and divisor for $48\div 8$ ?
From the rules of arithmetic,
The expression $a\div b$ can also be written as $\dfrac{a}{b}$
Following the same for the expression $48\div 8$ , we get,
$\Rightarrow \dfrac{48}{8}$
From the above, we can say that,
Dividend $=\;$ 48;
Divisor $=\;$ 8
Also, we can say that the numerator of the above fraction $\dfrac{48}{8}$ is 48 and the denominator of the above fraction $\dfrac{48}{8}$ is 8.
Note: We must remember that the value of the divisor cannot be equal to zero. In the case of limits if the divisor is 0 the result of division is infinity. The word infinity signifies the length of the number. In the case of limits, we only assume that the value of limit x tends to something and not equal to something. So, we consider it infinity. In normal cases, if the value of the divisor is zero, then the division is undefined.
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