Question

What's the name of the property given below?
If a×b=0 then a=0 b=0 or both a=0 and b=0

Answer 1

This is known as the Zero Product Rule.

Explanation:

Answer 2

This is the zero product rule.

Explanation:

a: b = 0, then a = 0, b = 0, or both a = 0 and b = 0.

This is the zero product rule.

It shows that for the product to be zero, at least one factor must be zero

If a*b= 0: It shows that one of the factor is zero or may be both the factors are zero that is why their resultant product is 0.

So therefore, the product to be zero at least one of the factors must be zero.

If a x b = 0 then a = 0 and/or b = 0