Three digit Number Multiplied by 11

Whenever a three digit number or more is to be multiplied by 11, then apply the rule “Put 0 and add the neighbor”

Have fun with the trick

234 x 11 = 2574

Put 0 at the beginning and end of the number.
0 2 3 4 0

Now add the neighbor starting from right.
0 2 3 4 0
4 (0 + 4 = 4)

0 2 3 4 0
7 4 (4 + 3 = 7)

0 2 3 4 0
5 7 4 (3 + 2 = 5)

0 2 3 4 0
2 5 7 4 (2 + 0 = 2)

Answer 234 x 11 = 2574

Little Variation

578 x 11= 6358

Put 0 in the beginning and at the end of the number

0 5 7 8 0

Now add the neighbor starting from right

0 5 7 8 0
8 ( 0 + 8 )

0 5 7 8 0

158 (8 + 7= 15) (1 is carried to next digit to your right)

0 5 7 8 0

1358 (5 + 7 = 12) (1 carried from the previous step gets added to 12 which becomes 13. 1 of 13 is carried to next digit to your right)

0 5 7 8 0 x 11

6 3 5 8 (0 + 5 = 5) (1 carried from the previous step gets added to 5 which becomes 6)

Answer = 578 x 11 = 6358

Time for you to try