Question

How do you write the algebraic expression: one-fourth of a number $n$?

Answer 1

Hint: Here we need to convert the given mathematical statement into the algebraic expression. We will first write the one fourth in fractional form and here ‘of’ means multiplication and then we will consider the variable given. We will multiply the fraction with the given variable and after simplifying the terms i.e. after multiplying the terms, we will get the required answer i.e. the required algebraic expression.

Complete step by step solution:
Here we need to convert the given mathematical statement into the algebraic expression.
We know that one-fourth is numerically written as $\dfrac{1}{4}$.
Here the term ‘of’ means multiplication.
Here the number is given as a variable i.e. $n$.
Now, we will write the given statement in the algebraic expression now.
Therefore, we can write one fourth of a number $n$ as $\dfrac{1}{4} \times n$.
Now, we will further simplify the terms by multiplying the terms.
$ \dfrac{1}{4}= \dfrac{n}{4}$

Therefore, one-fourth of a number $n$ is equal to $\dfrac{n}{4}$
Hence, this is the required algebraic expression for the given mathematical statement.

Note:
Here we have obtained the required algebraic expression for the given mathematical statement. Here, we have converted each mathematical word into numerical form and then we have written the overall mathematical expression. An expression is defined as a sentence that contains a minimum of two numbers and at least one math operation and the mathematical operation can be addition, subtraction, division, and multiplication. The structure of the expression is given by \[\text{Expression}~=\left( \text{Number},~\text{Math}~\text{Operator},\text{Number} \right).~\]
But the algebraic expression is defined as the expression which consists of constants and variables, along with some mathematical operations like addition, subtraction, etc.