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

Question

I have 5 real numbers whose product is non-zero. Now, I increase each of the 5 numbers by 1 and again multiply all of them.
Is it possible that this new product is the same as the non-zero number obtained earlier?

(Explain your answer may be with an example)

Answer 1

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.

Answer 2

one no only will be zero;if both nos are zero the result will be infinitive

Comments

Multiplication can be translated to addition in the following way.
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.

Answer 3

Only when ONE number is ZERO.
0 x 0 = Indeterminate

Comments

Try it out in a calculator.