Fascinating Number 3

Maths Tricks , short cut tricks for maths to make calculation easy and fast

Fascinating Number 3 There are a couple of strange things about the first few prime numbers, 153 = 1^3 + 3^3 + 5^3 And 3 and 5 can also both be expressed as the difference between two square 3 = 2^2 - 1^2 5 = 3^2 - 2^2: Example.
The secret steps in the 3-times table are very simple

3*1 = 3 ---------------- 3
3*2 = 6 ---------------- 6
3*3 = 9 ---------------- 9

3*4 = 12 --------- 1+2 = 3
3*5 = 15 --------- 1+5 = 6
3*6 = 18 --------- 1+8 = 9

3*7 = 21 --------- 2+1 = 3
3*8 = 24 --------- 2+4 = 6
3*9 = 27 --------- 2+7 = 9

3*10 = 30 -------- 3+0 = 3
3*11 = 33 -------- 3+3 = 6
3*12 = 36 -------- 3+6 = 9

Again the pattern of the secret steps recurs whatever stage you carry the table up to - try it and check for yourself.; Is this maths trick helpful? (729) (194) Post / Read comment (2)

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RAMNARAYAN SWAMI (9 years ago)

There are a couple of strange things about the first few prime numbers,

153 = 1^3 + 3^3 + 5^3

And 3 and 5 can also both be expressed as the difference between two square

3 = 2^2 - 1^2
5 = 3^3 - 2^2 typing error
it should be
5 = 3^2-2^2

Like? Yes (9) | No (7)

Arkadeep Mukhopadhyay (8 years ago)

1^2-0^2=1
2^2-1^2=3
3^2-2^2=5
4^2-3^2=7
5^2-4^2=9
And so on....
By subtracting squares of successive whole numbers we get the odd nos. In the order.... Because
(x+1)^2 - x^2 = 2x+1, which is the general formula for odd numbers. 😇

Like? Yes (2) | No (1)

Dimple

India

Punjab

Time: 00:01:33

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Fascinating Number 3

Maths Tricks , short cut tricks for maths to make calculation easy and fast