The Correct Answer and Explanation is:
Of course. Here is the correct answer and a detailed explanation.
Correct Answer: 8/d
Explanation
To write an expression for the phrase “8 divided by d,” you need to translate the words into mathematical symbols. This is a key skill in algebra that allows you to represent relationships and set up problems.
First, let’s break down the given phrase into its essential parts:
- The number 8: This is the first value in our expression.
- The words “divided by”: This indicates the mathematical operation of division.
- The variable d: This is the second value in our expression. A variable is a letter used to represent an unknown or changing number.
In division, the order of the terms is critical. The number that comes before the phrase “divided by” is the dividend (the number being divided). The number or variable that comes after the phrase is the divisor (the number you are dividing by).
- Dividend: 8
- Divisor: d
There are two primary ways to write division in mathematics.
The first way is to use the division symbol (÷). Using this notation, the expression would be written as 8 ÷ d. While this is correct, it is less common in algebra and higher-level math.
The second, and more standard, way to represent division in algebra is by using a fraction bar. The dividend becomes the numerator (the top of the fraction), and the divisor becomes the denominator (the bottom of the fraction). This format is generally preferred because it is clearer and avoids ambiguity, especially in more complex expressions.
Therefore, the expression for “8 divided by d” is written as:
8/d
This expression correctly represents the number 8 being divided by the variable d.
