Zero Times Any Number

Do you know the "distributive law"? For a, b, and c any three numbers, a(b+ c)= ab+ ac. In particular, if c= 0, a(b+ 0)= ab+ a0.

But b+ 0= b so a(b+ 0)= ab. We have ab= ab+ a0. Subtracting ab from both sides, a0= 0.
 
Do you know the "distributive law"? For a, b, and c any three numbers, a(b+ c)= ab+ ac. In particular, if c= 0, a(b+ 0)= ab+ a0.

But b+ 0= b so a(b+ 0)= ab. We have ab= ab+ a0. Subtracting ab from both sides, a0= 0.

Yes, I know this law.
 


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