In Vedic Mathematics, squaring numbers that end in 5 can be done very quickly using a simple and effective formula. This method significantly reduces the time and effort compared to traditional methods.
Below is the step-by-step process.
First part: Multiply the first digits by the next higher number.
Second part: Multiply the last digits.
The final result is simply a combination of the two parts.
To get the first part, multiply the tens digit, 2, by the next higher number, which is 3.
2 × 3 = 6
The second part is obtained by multiplying the last digits: 3 × 7 = 21.
So, 23 × 27 = 621.
To get the first part, multiply the tens digit, 9, by the next higher number, which is 10.
9 × 10 = 90
The second part is obtained by multiplying the last digits: 6 × 4 = 24.
So, 96 × 94 = 9024.
To get the first part, multiply the starting digits, 41, by the next higher number, which is 42.
41 × 42 = 1722
The second part is obtained by multiplying the last digits: 7 × 3 = 21.
So, 417 × 413 = 172221.
To get the first part, multiply the tens digit, 9, by the next higher number, which is 10.
9 × 10 = 90
The second part is obtained by multiplying the last digits: 2 × 8 = 16.
So, 92 × 0.98 = 90.16.
To get the first part, multiply the tens digit, 6, by the next higher number, which is 7.
6 × 7 = 42
The second part is obtained by multiplying the last digits: 9 × 1 = 09.
So, 0.69 × 6.1 = 4.209.
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