Laplacian:
here's a simple proof justifying your assertion
6*n=(5+1)*n=5n+n=10n/2+n....
Nice work bro, keep it up, dis is exactly wat dis thread is all about...
Direct extension of ur propsition shows that;
4*n=(5-1)*n=5n-n=10n/2-n
e.g 4*7=70/2-7=35-7=28

..yes bozz.

To square anything which comes between 90-100...e.g 96...say 100-96=4...subtract the 4 from 96 to give 92,square the 4 to give 16,write it together to give 9216

Ortarico: If not for these busy days, I should continue as a full time administrator. My prof, I greet you powerfully. Where is my oga @ the top, 'Mr calculus'?

my general i just dy low key..
watching from d sidelines though

Maybe some of you know this shortcut ..of multiplying any integer by 7

e.g
7x1=10/2 +(1x2)=5+2=7
7x2=20/2+(2x2)=10+4=14
7x3=30/2+(3x2)=15+6=21
7x4=40/2+(4x2)=20+8=28

and so on...
Hence
7xn=n'0'/2 +2n =m

just my little discovery.
.today.....u dont always nid calculator ..u gat it in you...

Also,
4x1=10/2 - 1=4
4x2=20/2 -2 =8
4x3=30/2 -3=12
and so on
hence
4xn=n'0'/2 -n

Also
8x1=10/2 +(1x3) =5+3=8
8x2=20/2 + (2x3) =10+6=16

8x4=40/2 +(4x3) =20+12=32

and so on...
Hence

8xn=n0/2 +3n=m



also
9x1=10/2 + (1x4) =5+4=9

9x2=20/2 + (2x4)=10+8=18

9x3=30/2 + (3x4)=15+12=27
and so on.

Hence
9xn=n0/2 +4n=m
works for all integers
(nb: 'n0' does nt mean nx0...it means introduce a zero .)
See?
You less need calculator since you can create one in your brain....there are lots more shotcuts in mathematics....you can finish an hour exams in less dan half the time..and have a perfect score..

11x1=10+1=11
11x2=20+2=22
11x3=30+3=33
11x4=40+4=44

hence
11xn =n0 +n=m

and so on....you see the power of 'zero',

I can now conclude that
12xn=n'0' +2n
13 xn=n'0' +3n
14 xn=n'0'+4n
15xn=n'0'+5n
16xn=n'0' +6n
and so on.
Up2 10n..

Verify and try 4 other numbers.

-->

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Here

Calculusfx: .ok...add me with mathemagician on 2go

lolz

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