When any number is divided by \[1\], the quotient is
A. $ 1 $
B. $ 0 $
C. $ 2 $
D. number itself
Answer
615k+ 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.
Recently Updated Pages
Master Class 7 Social Science: Engaging Questions & Answers for Success

Master Class 7 Science: Engaging Questions & Answers for Success

Master Class 7 Maths: Engaging Questions & Answers for Success

Class 7 Question and Answer - Your Ultimate Solutions Guide

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

She sings a song Change into passive voice class 7 english CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE

One lakh eight thousand how can we write it in num class 7 maths CBSE

The founder of Jainism was A Rishabhadev B Neminath class 7 social science CBSE

Write a short note on the great bath of MohenjoDar class 7 social science CBSE


