Finding squares of two-digit numbers:
Eg.
1) 45 * 45 = ?
Make the unit digit 0. So in this case, add 5.
Therefore,
(45+5) * (45-5) + (5*5)
50 * 40 + 25
2000 + 25
2025 (Ans)
2) 42 * 42 = ?
Subtracting 2 from 42 gives 40, so take 2.
(42 – 2) * (42+2) + (2*2)
40 * 44 + 4
1760 + 4
1764 (Ans)
Multiplication by 5:
First multiply the number by 10 and then divide the answer by 2.
Eg.
56 * 5 = ?
(56 * 10) / 2
560/2
280 (Ans)
19 * 5 =?
(19 * 10)/2
190/2
95 (Ans)
Multiplication by 99:
First multiply the number with 100 and then subtract the number from the answer.
Eg.
45 * 99 = ?
4500 – 45 = 4455 (Ans)
34 * 99 = ?
3400 – 34 = 3366 (Ans)
Multiplication with 2-digit numbers:
The following example illustrates how to multiply 2 digit numbers fast with Vedic maths.
34 * 22 = ?
Step 1:
34
22 *
——–
8 (4 * 2)
Step 2:
3 4 3 * 2 = 6
2 * 4 = 8
2 2
—– 14
4 8
Step 3:
3 4
2 2 1 3 * 2 = 6
—– 6 +
748 —-
7
Answer is 748
