TSTEACHERS BADI
โ 4ร3=12 is 4+4+4=12 or 3+3+3+3=12 ?
๐ Explaination
โMisconception
4ร3=12 read as 4 3times =12. (4+4+4)
Similarly 4ร2=8 read as 4 2times=8. (4+4)
If so then 4ร0=0 should be read as 4 0times=0.(?)
Here it is not possible to write 4 zero times. Merely its impossible. So 4ร3=12 is not correct to show as 4+4+4=12.
โReality
4ร3=12 read as 4times 3 =12.(3+3+3+3)
Similarly 4ร2=8 read as 4times 2 =8.(2+2+2+2).
Similarly 4ร0=0 read as 4times 0 =0.(0+0+0+0)
Here we can show 0 to any number of times.
*************************
In Simple way
4ร5=20 (4+4+4+4+4)
4ร4=16 (4+4+4+4)
4ร3=12 (4+4+4)
4ร2=8 (4+4)
4ร1=4 (4)
4ร0=0 (? ) how can we show 4 zero times.?
So its wrong.
4ร5=20 (5+5+5+5)
4ร4=16 (4+4+4+4)
4ร3=12 (3+3+3+3)
4ร2=8 (2+2+2+2)
4ร1=4 (1+1+1+1)
4ร0=0(0+0+0+0)
We can show 0 to 4 times equals to 0.
*************************************
โ *Why is -(-a)=a?*
We know that any number plus its opposite is zero. So let's begin there:
Now we multiply both sides by (-1). On the right-hand side, zero times (-1) is zero.
(-1) [ 1 + (-1) ] = 0
Now
(-1)(1) + (-1)(-1) = 0
But (-1)(1) = (-1) because of identity (any number times 1 is itself), so
(-1) + (-1)(-1) = 0
Now we add one to both sides and simplify
1 + (-1) + (-1)(-1) = 1
(-1)(-1) = 1
******************************
*
Another simple way*
-A+A=0 ------------1
Let -A =B assumption
Now form equation 1
B+A=0
Move B to right hand side
A= -B
Now substitute B value
A=-(-A)
********************************
If any viewer finds the proof is wrong pls comment. Even they can send the correct proof to my mail.I will post it with their name.
Thank you