Page 207 - Start Up Mathematics_4

Vedic Mathematics

Multiplying numbers just above 100
Example 1: Find: 103 × 104

Solution: 103 is just 3 above 100.
104 is just 4 above 100.
Extra

103 3 103 + 4 = 107
1st number of the solution
104 4 104 + 3 = 107
3 × 4 = 12 2nd number of the solution
103 × 104 = 10,712
Try these: 102 × 105, 103 × 108, 101 × 109, 106 × 106

Easy way to add and subtract fractions

2
Example 2: Find: + 1
3 5
1
Solution: 2 + = (2 × 5) + (3 × 1) = 10 + 3 = 13
3 5 3 × 5 15 15
7
3
5
Example 3: Find: (a) + (b) – 2
7 4 6 3
3
Solution: (a) 5 + = (5 × 4) + (7 × 3) = 20 + 21 = 41
7 4 7 × 4 28 28
2
(b) 7 – = (7 × 3) – (6 × 2) = 21 – 12 = 9 = 1
6 3 6 × 3 18 18 2
Multiplying two-digit numbers where the first digits are same and last digits add upto 10

Example 4: Find: 32 × 38
2 × 8 = 16 → 2nd number

Solution: 3 2 × 3 8
3 + 1 = 4

3 × 4 = 12 → 1st number
So, 32 × 38 = 1,216.

Example 5: Find: 81 × 89
1 × 9 = 9 or 09 → 2nd number
Solution: 8 1 × 8 9

8 + 1 = 9
8 × 9 = 72 → 1st number
So, 81 × 89 = 7,209.

Try these: 43 × 47, 24 × 26, 52 × 58, 69 × 61

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