The document discusses various methods of multiplication, illustrating strategies for splitting numbers to simplify calculations. It includes examples such as multiplying 18, 45, 15, 53, and 26 using different techniques. Additionally, it provides tips for multiplying by 6, 12, and 22.

1. Multiplication – 3
(from Bhaskara’s Lilavati)
Vinay Nair
SCHOOL OF VEDIC MATHS

2. Splitting the number 18
(i) 18 x 7 18
9 x 2
We can write it as 7 x 9 x 2
= 63 x 2 = 126

3. Splitting the number 45
(ii) 45 x 22 45
9 x 5
We can write it as 22 x 5 x 9
= 110 x 9 = 990.
Here, 22 x 5 can be seen as 22 x 10 = 110.
2
To get the answer of a number multiplied by 5, we can
get the answer by dividing the number by 2 and
multiplying by 10.

4. Splitting the number 12
(iii) 15 x 12 12
6 x 2
15 x 12 = 15 x 2 x 6
= 30 x 6 = 180.

5. Multiplying by 4
(iv) 53 x 4 4
2 x 2
53 x 4 = 53 x 2 x 2
Double of 53 = 106
Double of 106 = 212
Hence, 53 x 4 = 212
Try this with other numbers multiplied by 4.

6. Multiplying by 8
(v) 26 x 8 8
2 x 2 x 2
26 x 8 = 26 x 2 x 2 x 2
Double of 26 = 52
Double of 52 = 104
Double of 104 = 208
Hence, 26 x 8 = 208
Try this with other numbers multiplied by 8.

7. More numbers
 Multiplication by 6
 Multiply by 3 and then double it
 Multiplication by 12
 Multiply by 3 and then double it twice
 Multiplication by 22
 Multiply by 11 and then double it

8. Thank you!