The expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]
How to interpret integral multiplication?
Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as [tex]a[/tex] and [tex]b[/tex]
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Now, for the considered situation in the problem's statement, we are specified that:
- Each row has n seats.
- Total 27 rows are there in the theater.
So, total number of seats = n + n + ... + n (27 times) = [tex]27 \times n[/tex]
Thus, the expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]
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