Vedic Maths Tricks

Multiplying a number by 11:

To multiply any 2-digit number by 11 we just put the sum of the two digits between the 2 digits.
26 x 11 = 286
Notice that the outer digits in 286 are the 26 being multiplied.
And the middle digit is just 2 and 6 added up.
So 72 x 11 = 792

77 x 11 = 847
This involves a carry figure because 7 + 7 = 14
We get 77 x 11 = 7₁47 = 847

Similarly, 234 x 11 = 2574
We put the 2 and the 4 at the ends. We add the first pair 2 + 3 = 5 and we add the last pair: 3 + 4 = 7.

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A quick way to square numbers that end in 5 using the formula BY ONE MORE THAN THE ONE BEFORE

75² = 5625
75² means 75 x 75.The answer is in two parts: 56 and 25.The last part is always 25. The first part is the first number, 7, multiplied by the number "one more", which is 8:so 7 x 8 = 56

Similarly, 85² = 7225 because 8 x 9 = 72.

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Method for dividing by 9:

23 / 9 = 2 remainder 5
The first figure of 23 is 2, and this is the answer.The remainder is just 2 and 3 added up!
43 / 9 = 4 remainder 7
The first figure 4 is the answerand 4 + 3 = 7 is the remainder - could it be easier?

134 / 9 = 14 remainder 8
The answer consists of 1, 4 and 8.
1 is just the first figure of 134.
4 is the total of the first two figures 1+ 3 = 4
and 8 is the total of all three figures 1+ 3 + 4 = 8.

842 / 9 = 8₁2 remainder 14 = 92 remainder 14
Actually a remainder of 9 or more is not usually permitted because we are trying to find how many 9's there are in 842.
Since the remainder, 14 has one more 9 with 5 left over
the final answer will be 93 remainder 5

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