Why is 4X16 equal to 8X8?

Answer 1

4X16 is equal to 8X8 because:

Let 4 represent x.

16x = 2x(8)

16x = 16x.

Both sides of the equation are equal, so therefore 4 times 16 and 8 times 8 are equal.

You get 2x(8) by realizing that 8 is 4 times 2. Since we are using x in place of 4, rather than saying "4 times 2" we simply say 2x.

In order to finish the statement, 8 times 8, you take the 2x and multiply it by 8. So you have:

2x(8)

The same is for "4 times 16"

In place of 4 you use x, thus making it 16x.

After simplifying the equation it comes out to 16x = 16x, proving that it is equal.

I hope this helps,

-Brittany M.