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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20. Multiply any two digit number with 11

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

22. Squaring a 2 digit number ending in 4

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24. Squaring numbers made up of 1s

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

26. Squaring a 2 digit number ending in 5

27. Digital Sums For Multiplication By Eleven

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

29. xy as two digit number

30. find square of a number between 50 and 60

31. How will you square 53

32. How will you square up 109

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34. The Squaring of Numbers Ending in 5

35. Multiplying two selected 3 digit numbers middle digit 0

36. Multiplying two 2 digit numbers difference of 10

37. Converting Kilos to pounds

38. Calculate square of 31 or say 61

39. Squaring a 2 digit number beginning with 9

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

41. Converting Kilometres to Miles

42. Squaring a 2 digit number ending in 1

43. How will you square 1011

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45. Convert Fahrenheit to Celsius and vice versa

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49. How to multiply 123 and 321 in one go

50. Easy Multiplication trick