Question

The zero-product property states that for all real numbers a and b, if a • b = 0, _____.

Answer 1

http://en.wikipedia.org/wiki/Zero-product_property
A and/or B must equal 0.

Answer 2

Proof:
Suppose that a = 0. Then 0 * b = 0 by the multiplicative identity property.
Suppose that b = 0. Then a * 0 = 0 by the multiplicative identity property.
Suppose both a and b are 0. Then 0 * 0 = 0 by the multiplicative identity.
QED.

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Answer 3

then a and/or b = 0