Mathematics

Vedic Maths

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:

²

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

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Notes

Vedic Maths - Notes

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4. Squaring a 2 digit number ending in 2

5. Squaring numbers in the 200s

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8. How will you multiply 411

9. Squaring a 2 digit number beginning with 1

10. Multiplying by 11 shortcut

11. Squaring a 2digit number ending in 8

12. Calculating the sum of two numbers

13. Squaring numbers made up of 1s

14. Multiply any two digit number with 11

15. How will you multiply 29 to 99

16. Squaring a 2 digit number ending in 5

17. Likewise you can find out square of a number that is one less than the number whose square is known

18. 50 Kilos to pounds

19. Is 456138 divisible by 9

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21. Multiplying two 2 digit numbers difference of 3

22. Squaring a 2 digit number ending in 4

23. Multiply any two numbers from 11 to 20 in your head Take 15 x 13

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25. Digital Sums For Multiplication By Eleven

26. Multiplying two 2 digit numbers difference of 8

27. find square of a number between 50 and 60

28. This little math trick will show you whether a number is divisible by four or not

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31. The Squaring of Numbers Ending in 5

32. Multiplying two selected 3 digit numbers middle digit 0

33. How will you square 1011

34. Simple Tricks to multiply

35. xy as two digit number

36. Vertically and Crosswise To find 26 Multiplied by 31 in One Line we need to look at a Pattern

37. Calculate square of 31 or say 61

38. Multiplying two 2 digit numbers difference of 10

39. How will you square 53

40. Multiplying two 2 digit numbers difference of 1

41. Squaring a 2 digit number beginning with 9

42. Converting Kilos to pounds

43. Convert Fahrenheit to Celsius and vice versa

44. Converting Kilometres to Miles

45. Multiplication of two numbers around 100 is even easier than you could ever imagine

46. Squaring a 2 digit number ending in 1

47. How to multiply 123 and 321 in one go

48. Multiplying two 2 digit numbers difference of 2

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50. Multiplying two 2 digit numbers same 2nd digit