Questions: Translate the following into an algebraic expression: the quotient of a number and four.

Solution Steps

To translate the given phrase into an algebraic expression, identify the mathematical operation described. The phrase "the quotient of a number and four" indicates division, where "a number" can be represented by a variable, such as \( x \). Therefore, the algebraic expression is \( \frac{x}{4} \).

The problem states "the quotient of a number and four." We represent "a number" with the variable \( x \). Thus, the algebraic expression can be written as: \[ \frac{x}{4} \]

In the example provided, we substitute \( x = 8 \) into the expression: \[ \frac{8}{4} \]

Now, we perform the division: \[ \frac{8}{4} = 2.0 \]

Final Answer