Two digit multiplication - special case

I would like to introduce special case in multiplication. This is base method multiplication.

What is base method multiplication?

Let me explain by taking one example.

Ex : 15 x 17

15 = 10 + 5
17 = 10 + 7

So here 10 is base

15 x 17
 +5   +7

 unit digit = 5 x 7 = 35
10's digit = 15 + 7 = 22

So result = 22 / 35
Please note in units place two digits are there. As I mentioned in earlier posts 3 should be carried.

So result = 22+3 / 5 = 25 / 5 = 255

So now you try for  16 x 14 = ?.

Bottom line is express both number into base of some number. Here that is 10

15 = 10 + 5 and 17 = 10 + 7

Unit place number is multiplication of  numbers of above the base i.e. 5 x 7 = 35

10's place number is 15 + 7 or 17 + 5 = 22

If you understand this method, multiplication matter of seconds. Try and expertise this. Next methods depends on this method.