Write the following phrase as an expression: "half of n"

A. [tex]\( n^2 \)[/tex]
B. [tex]\( \frac{n}{2} \)[/tex]
C. [tex]\( 2n \)[/tex]
D. [tex]\( \frac{1}{n} \)[/tex]



Answer :

To write the phrase "half of n" as an expression, we need to consider what "half" of a value represents.

1. "Half" means dividing by 2.
2. "n" is the variable we are working with.

So, "half of n" can be translated mathematically as:

[tex]\[ \frac{n}{2} \][/tex]

Let's compare this with the given options:
- Option A: [tex]\( n^2 \)[/tex] - This represents "n squared," not half of n.
- Option B: [tex]\(\frac{n}{2}\)[/tex] - This correctly represents "half of n."
- Option C: [tex]\(2n\)[/tex] - This represents "twice n," not half of n.
- Option D: [tex]\(\frac{1}{n}\)[/tex] - This represents "the reciprocal of n," not half of n.

The correct expression that stands for "half of n" is:

[tex]\[ \boxed{\frac{n}{2}} \][/tex]

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