Squaring a 2 digit number ending in 9
1.Choose a 2-digit number ending in 9.
2.The last digit of the answer is always 1:____ ____1
3.Multiply the first digit by 8 and add 8 (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 39:
2.The last digit of the answer is 1:___ ___ ___1
3.Multiply the first digit (3) by 8 and add 8 (keep the carry): 8 x 3 = 24, 24 + 8 = 32; the next digit of the answer is 2 (keep carry 3):____ ____2 1
4.Multiply the first digit (3) by the next number (4) and add the carry (3): 3 x 4 = 12. 12 + 3 = 15 (the first two digits): 1 5 _
5.So 39 x 39 = 1521.
See the pattern?
1.For 79 x 79
2.The last digit of the answer is 1:___ ___ ___1
3.Multiply the first digit (7) by 8 and add 8 (keep the carry): 8 x 7 = 56. 56 + 8 = 64; the next digit of the answer is 4 (keep carry 6):___ _____4 1
4.Multiply the first digit (7) by the next number (8) and add the carry (6): 7 x 8 = 56, 56 + 6 = 62 (the first two digits): 6 2 _
5.So 79 x 79 = 6241.
(Practice other examples using this pattern, and in no time you'll be able to give these squares faster than someone using a calculator.)
Notes
Vedic Maths - Notes
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