# 1(square)=1 but ,2 square not equal to 2

creater

## Main Question or Discussion Point

hi all,
it may sound silly .. but when we look at this logically

1 X 1= 1.. that is 1(square) is 1

but

2 X 2 not = 2

i dont understand why?

Related General Discussion News on Phys.org
Really?

Likely its because 2x2= 4, not 2.

I sense Troll.

Simon Bridge
Homework Helper
Because you can fit four 1x1 squares into one 2x2 square.

1 X 1= 1 ... but 2 X 2 not = 2
You left out 0 x 0 = 0. In fact, a little known fact is the fact that the ancient Greeks were aware of the fact that 2 x 2 not = 2 and for this reason, abandoned algebra to the Arabs while studying geometry instead. When young Gauss was in kindergarten, he noticed that $\infty$x$\infty = \infty$. This appeased the Greeks somewhat and now they study algebra too. If I'm not mistaken, the Arabs also study geometry, so all's well with the world. Don't upset the apple cart.

BobG
Homework Helper
hi all,
it may sound silly .. but when we look at this logically

1 X 1= 1.. that is 1(square) is 1

but

2 X 2 not = 2

i dont understand why?

Yet 3 ft x 3 ft = 1 square yard!

And, even more bizarre, 50 ft x 100 ft = 1 rectangular yard. (At least if your neighborhood is flat. If your yard is sloped, I'm scared to even try to figure out what 50 ft x 100 ft equals.)

hi all,
it may sound silly .. but when we look at this logically

1 X 1= 1.. that is 1(square) is 1

but

2 X 2 not = 2

i dont understand why?