Originally Posted By: paul

then why did you write your answer to your equation the way you did?
2 bananas * 2 bananas = 4 bananas ^2 (four bananas squared)

the way you wrote your answer is sudgesting that bananas have a length?

if bananas dont have a length then why wasnt your answer

simply 4 bananas

why did you write

4 bananas^2 (four bananas squared)



Writing:
2 bananas * 2 bananas = 4 bananas ^2 (four bananas squared)

IF a "banana" is a unit of length then "bananas squared" would be a unit of area. (I'm not saying that bananas are standard units of length - I'm positing a hypothetical.)

2ft * 2ft = 4ft^2

length * length = area

Suppose I had a "standard banana" and I wanted to find the length of my office in standard bananas.

I count 15 across.

The equation is not
Length of office= 15 bananas * 1 banana

The equation is
Length of office= 15 * 1 banana

If I wanted to know the AREA of my office, suppose it is 15 bananas in one direction and 20 bananas in the other direction. The formula would be:

Area of office = 15 bananas * 20 bananas = 300 bananas^2

(The square ONLY being applied to the bananas and NOT to the 300.)