Question

How do you translate “the quotient of a number and 3” into an algebraic expression?

Answer 1

Hint: In the given question, we have been given a phrase. We have to translate that phrase into its mathematical expression. To do that, we just simply read from left to right and step by step translate the information we are encountering into its mathematical counterpart. We are going to write the given phrase in our main working area, assume any variable to be the given number, and apply the given information’s operations on that number.

Complete step by step answer:
The given phrase is:
the quotient of a number and 3
Let the given number be \[x\].
Now, we have been given that this expression evaluates the quotient of the given number with 3, hence,
\[x \div 3\]

Thus, when “the quotient of a number and 3” is translated into a mathematical expression, it reads as \[x \div 3\]

Note: In the given question we had been given a phrase. We had to translate that given phrase into a mathematical expression, which correctly shows the relation of the given expression. To do that, we first assumed a variable, a variable that represented the “number” given in the question. Then, we read from left to right and applied the information to that number.