To multiply any two digit number by 11

To multiply any two digit number by 11

• For this example we will use 54.
• Separate the two digits in you mind (5__4).
• Notice the hole between them!
• Add the 5 and the 4 together (5+4=9)
• Put the resulting 9 in the hole 594. That's it! 11 x 54=594

The only thing tricky to remember is that if the result of the addition is greater than 9, you only put the "ones" digit in the hole and carry the "tens" digit from the addition. For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627
Practice it on paper first!

Multiplication Tricks

x	0	1	2	3	4	5	6	7	8	9	10	11	12
0	0	0	0	0	0	0	0	0	0	0	0	0	0
1	0	1	2	3	4	5	6	7	8	9	10	11	12
2	0	2	4	6	8	10	12	14	16	18	20	22	24
3	0	3	6	9	12	15	18	21	24	27	30	33	36
4	0	4	8	12	16	20	24	28	32	36	40	44	48
5	0	5	10	15	20	25	30	35	40	45	50	55	60
6	0	6	12	18	24	30	36	42	48	54	60	66	72
7	0	7	14	21	28	35	42	49	56	63	70	77	84
8	0	8	16	24	32	40	48	56	64	72	80	88	96
9	0	9	18	27	36	45	54	63	72	81	90	99	108
10	0	10	20	30	40	50	60	70	80	90	100	110	120
11	0	11	22	33	44	55	66	77	88	99	110	121	132
12	0	12	24	36	48	60	72	84	96	108	120	132	144

Multiplication of 11 with any number of 3 digits

Let me explain this rule by taking examples

412*11= 4….(4+1)….(1+2)….2 =4532

Means insert the sum of first and second digits, then sum of second and third digits between the two terminal digits of the number
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Here an extra case arises
Consider the following examples for that

1) 429*11=4….(4+2)+1….(2+9-10)---9=4719

Means, if sum of two digits of the number is greater than 10, then add 1 to previous digit and subtract 10 to the associated digit.

2) 768*11= 7+1…(7+6-10)+1….(6+8-10)….8 = 8448

Multiplication of any two numbers, lies between 11 and 19

Let me explain this rule by taking examples

14*18=(14+8)*10+(4*8) = 220+32 =252

Means add first number and last digit of the second number take zero in the third place of this number then add product of last digit of the two numbers in it. 

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