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Define a variable and write an expression for the phrase "a number divided by 82."

A. [tex]$\frac{82}{n}$[/tex]
B. [tex]$n-82$[/tex]
C. [tex]$n+82$[/tex]
D. [tex]$\frac{n}{82}$[/tex]

Answer :

To solve the problem, we need to define a variable for "a number" and write an expression for "a number divided by 82." Here's how to do it:

1. Define the Variable: Let's use the letter [tex]\( n \)[/tex] to represent the unknown number. This variable will stand in for any number we don't know yet but want to include in our expression.

2. Write the Expression: The phrase "a number divided by 82" means we take our variable [tex]\( n \)[/tex] and divide it by 82. In mathematical terms, division of [tex]\( n \)[/tex] by 82 is written as [tex]\( \frac{n}{82} \)[/tex].

3. Choose the Correct Option: Now we look at the options provided:

- A. [tex]\(\frac{82}{n}\)[/tex] — This means 82 divided by the number, not what we're looking for.
- B. [tex]\(n - 82\)[/tex] — This represents a number minus 82.
- C. [tex]\(n + 82\)[/tex] — This means a number plus 82.
- D. [tex]\(\frac{n}{82}\)[/tex] — This is the correct expression for a number divided by 82.

Thus, the correct answer is D. [tex]\(\frac{n}{82}\)[/tex].

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