The Squaring of Numbers Ending in 5
If we wanted to square the number 25, i.e. 25 x 25, we would conventionally take 3 lines of working out. Vedic Mathematics merely looks at the Question, applies one of the 16 Sutras,
and solves it Mentally in One-Line. In this case, the Sutra at work is "By One More Than The Previous Digit". Observing that 25 is a 2 digit number, 5 is the last digit, but we are mainly
interested in "The Previous Digit"which is 2. We say, mentally, ""What is One more than Two?"" It is 3. The word ""By"" in the Sutra really means "to multiply".
The setting out for the first half of the answer is thus:
252 = 2 ""By"" 3 / ........
= 2 x 3 / ........
To this we tag on the last digit ""5"" squared:
Thus the answer is 625
Similarly, all other numbers that end in 5, when squared, can be done instantly:
152 = 1 x 2 / 5 x 5 = 2 / 25 = 225
352 = 3 x 4 / 5 x 5 = 12 / 25 = 1,225
452 = 4 x 5 / 5 x 5 = 20 / 25 = 2,025
952 = 9 x 10 / 5 x 5 = 90 / 25 = 9, 025
Notes
Vedic Maths - Notes
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4. Multiplying two 2 digit numbers difference of 6
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5. Squaring a 2 digit number beginning with 1
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9. Square 2 Digit Number with up down Method
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11. Squaring a 2 digit number ending in 2
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13. Simple trick to remember table of 19
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15. Multiplying two 2 digit numbers difference of 3
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19. find square of a number between 50 and 60
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20. Squaring a 2 digit number ending in 3
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21. Squaring a 2 digit number ending in 4
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22. Likewise you can find out square of a number that is one less than the number whose square is known
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23. Multiplying two selected 3 digit numbers middle digit 1
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24. Digital Sums For Multiplication By Eleven
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25. Multiplying two 2 digit numbers difference of 8
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29. Squaring a 2digit number ending in 8
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32. Vertically and Crosswise To find 26 Multiplied by 31 in One Line we need to look at a Pattern
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33. Multiply any two numbers from 11 to 20 in your head Take 15 x 13
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34. Lets add 1 hr and 35 minutes and 3 hr 55 minutes together
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35. Squaring a 2 digit number beginning with 9
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36. Squaring a 2 digit number ending in 5
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37. Convert Fahrenheit to Celsius and vice versa
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38. Multiplying two selected 3 digit numbers middle digit 0
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40. Squaring a 2 digit number ending in 1
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41. This little math trick will show you whether a number is divisible by four or not
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42. Multiplying two 2 digit numbers difference of 10
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43. How to multiply 123 and 321 in one go
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44. Multiplying two 2 digit numbers difference of 1
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45. The Squaring of Numbers Ending in 5
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47. Squaring a 2 digit number ending in 7
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49. Multiplying two 2 digit numbers difference of 2
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