Explain why this algorithm works (math)?

Question

--569

+645

_____

----14

--10--

11---

_____

1214

(Ignore the dashes)

Please help! I don't understand it =(

Answer 1

You're adding two numbers.

It works because each line is the addition of the two numbers and placed in the right columns.

9 + 5

6 + 4

6 + 5  

Answer 2

Coincidence.

Answer 3

it is because of its place value....

the 1 in the 14 is just  like carrying it to the next place value

its like

carry:  111

            569

        +  645

        ------------

          1214