If a×b=0

Then the conclusions are

1) a=0, b= any non zero integer.

2) case 1 with a and b switched.

3) both are 0.

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If the product of two whole numbers is zero, can we say that one or both of them will be zero?

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For instance 2*3 = 6

This can be written in its additive form as

2*3=6=2+2+2 (2 added three times)

Or 3*2= 3+3 (3 added twice)

Both statements are equally valid

Similarly 3*0=0 (It's 3 added 0 times not even once so starting from zero the sum remains at 0)

And 0*0 means 0 added 0 times which is zero.

So clearly 0*0 can't be infinite.