Question

What is the coefficient of $\dfrac{x}{2}?$

Answer 1

Hint: We know that in an algebraic expression, the numerical or constant term that is placed before the variable term and that is multiplied the variable is called the coefficient of the variable. We need to find the numerical term that is multiplied with the variable.

Complete step by step answer:
Let us consider the given algebraic expression $\dfrac{x}{2}.$
We are asked to find the coefficient of the given algebraic expression.
We know that the numerical quantity that is multiplied to a variable in an algebraic expression is known as the coefficient of the variable in the algebraic expression.
As we know, the coefficient of a variable is usually placed before the variable.
Now, we are going to split the given algebraic expression as a product of a numerical quantity and a variable.
Then, we can easily find the coefficient of the variable for it is the numerical quantity we obtained from splitting the given algebraic expression.
So, now we will get $\dfrac{x}{2}=\dfrac{1}{2}\times x.$
Now, as we have already explained, we have found the numerical quantity that is placed before and multiplied with the variable. And that is, $\dfrac{1}{2}.$
And, we have mentioned that this numerical quantity is the coefficient of the variable $x.$

Hence the coefficient of the variable in the given algebraic expression is $\dfrac{1}{2}.$

Note: Since the coefficient is multiplied to the variable, we can say that the coefficient times the variable if we need to convert the algebraic expression into a word phrase. If we say a number times the variable, then that number is the coefficient of the variable.