Squaring a 2 digit number ending in 6
1.Choose a 2-digit number ending in 6.
2.Square the second digit (keep the carry): the last digit of the answer is always 6:____ ______6
3.Multiply the first digit by 2 and add the carry (keep the carry):__ ____X _
4.Multiply the first digit by the next consecutive number and add the carry: the product is the first two digits: XX .
Example:
1.If the number is 46, square the second digit:6x6 = 36; the last digit of the answer is 6 (keep carry 3):____ ______6
2.Multiply the first digit (4) by 2 and add the carry (keep the carry): 2x4 = 8, 8 + 3 = 11; the next digit of the answer is 1:__ ____16
3.Multiply the first digit (4) by the next number (5) and add the carry: 4 x 5 = 20, 20 + 1 = 21 (the first two digits): 2 1__ ___
4.So 46 x 46 = 2116.
See the pattern?
1.For 76 x 76, square 6 and keep the carry (3):6x6 = 36; the last digit of the answer is 6:______ _____6
2.Multiply the first digit (7) by 2 and add the carry: 2 x 7 = 14, 14 + 3 = 17; the next digit of the answer is 7 (keep carry 1):___ __7 6
3.Multiply the first digit (7) by the next number (8) and add the carry: 7 x 8 = 56, 56 + 1 = 57 (the first two digits: 5 7 _
4.So 76 x 76 = 5776.
Notes
Vedic Maths - Notes
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