Squaring a 2 digit number ending in 7
1.Choose a 2-digit number ending in 7.
2.The last digit of the answer is always 9:_______9
3.Multiply the first digit by 4 and add 4 (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 47:
2.The last digit of the answer is 9:___________9
3.Multiply the first digit (4) by 4 and add 4 (keep the carry): 4x4 = 16, 16 + 4 = 20; the next digit of the answer is 0 (keep carry 2):________0 9
4.Multiply the first digit (4) by the next number (5) and add the carry (2): 4 x 5 = 20, 20 + 2 = 22 (the first two digits): 22__________
5.So 47 x 47 = 2209.
See the pattern?
1.For 67 x 67
2.The last digit of the answer is 9:___________9
3.Multiply the first digit (6) by 4 and add 4 (keep the carry): 4 x 6 = 24, 24 + 4 = 28; the next digit of the answer is 0 (keep carry 2):________8 9
4.Multiply the first digit (6) by the next number (7) and add the carry (2): 6 x 7 = 42. 42 + 2 = 44 (the first two digits): 4 4 _ _
5.So 67 x 67 = 4489.
Notes
Vedic Maths - Notes
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