When any number is divided by \[1\], the quotient is
A. $ 1 $
B. $ 0 $
C. $ 2 $
D. number itself
Answer
630.3k+ views
Hint: To solve this question first we recall about the dividend, divisor and quotient. We solve this question by giving an example. Here we use a representation of quotient in general form as
$ \text{Quotient=}\dfrac{\text{Dividend}}{\text{divisor}} $
Complete step-by-step answer:
We know that when we divide any number the result we get is defined as the quotient. We have to know some general facts before giving an answer to this question.
When a number is divided by zero the quotient is not defined. For example, if we consider $ \dfrac{x}{0}=\text{undefined} $
When zero is divided by any number, we get the quotient as zero. For example $ \dfrac{0}{x}=0 $
When a number is divided by \[1\] the quotient is a number itself. Let us take an example, $ \dfrac{x}{1}=x $
When $ 1 $ is divided by any number, we get the quotient as reciprocal of that number. For example $ 1\div x=\dfrac{1}{x} $ .
We must also note that every number has a reciprocal except zero.
So, when we know all these facts we will get our answer that Option D is correct.
It means when any number is divided by \[1\], the quotient is a number itself.
Note: A quotient is calculated by two methods; one is by fraction and second is by long division method. In fraction method a dividend is the numerator and a divisor is a denominator and the result we get is quotient. In the long division method we start dividing a number from the left hand side and then divide it until there is no number left.
$ \text{Quotient=}\dfrac{\text{Dividend}}{\text{divisor}} $
Complete step-by-step answer:
We know that when we divide any number the result we get is defined as the quotient. We have to know some general facts before giving an answer to this question.
When a number is divided by zero the quotient is not defined. For example, if we consider $ \dfrac{x}{0}=\text{undefined} $
When zero is divided by any number, we get the quotient as zero. For example $ \dfrac{0}{x}=0 $
When a number is divided by \[1\] the quotient is a number itself. Let us take an example, $ \dfrac{x}{1}=x $
When $ 1 $ is divided by any number, we get the quotient as reciprocal of that number. For example $ 1\div x=\dfrac{1}{x} $ .
We must also note that every number has a reciprocal except zero.
So, when we know all these facts we will get our answer that Option D is correct.
It means when any number is divided by \[1\], the quotient is a number itself.
Note: A quotient is calculated by two methods; one is by fraction and second is by long division method. In fraction method a dividend is the numerator and a divisor is a denominator and the result we get is quotient. In the long division method we start dividing a number from the left hand side and then divide it until there is no number left.
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