To determine which expression correctly represents the difference of 7 and a number [tex]$n$[/tex], we need to find the expression that subtracts the number [tex]$n$[/tex] from 7.
The options presented in the table are:
1. [tex]\(n - 7\)[/tex]
2. [tex]\(7 - n\)[/tex]
3. [tex]\(7 \cdot n\)[/tex]
4. [tex]\(\frac{n}{7}\)[/tex]
Let's go through these options:
1. [tex]\(n - 7\)[/tex]: This means subtracting 7 from the number [tex]\(n\)[/tex]. This doesn't match our requirement as it fundamentally changes the order of subtraction.
2. [tex]\(7 - n\)[/tex]: This means subtracting the number [tex]\(n\)[/tex] from 7. This matches our requirement as it shows that we are taking 7 and subtracting [tex]\(n\)[/tex] from it.
3. [tex]\(7 \cdot n\)[/tex]: This represents the multiplication of 7 and [tex]\(n\)[/tex], not a subtraction.
4. [tex]\(\frac{n}{7}\)[/tex]: This represents division, specifically [tex]\(n\)[/tex] divided by 7, which is not relevant for finding the difference.
From these assessments, the correct expression representing the difference of 7 and a number [tex]\(n\)[/tex] is [tex]\(7 - n\)[/tex].
Thus, the correct expression number is:
[tex]\[ \boxed{2} \][/tex]
