Is this math statement true:

Question

Is this math statement true:

: If AB = 0, then A = 0 or B = 0 or both are equal to zero.    

Answer 1

This statement is true. In order for the product to be 0, at least one of the factors must be a 0.

To verify, choose a value for A and B for the equation AB = 0 and use substitution to solve. For example:

If A = 0 and B = 5, then 0 x 5 = 0

If A = 3 and B = 0. then 3 x 0 = 0

If A = 0 and B = 0, then 0 x 0 = 0

Answer 2

if AB=0 then both A and B can be 0 since 0 times 0 is 0 since nothing was multiplied to begin with and any number multiplied by 0 always becomes 0 since nothing is being multiplied so its as if there was never any number to be multiplied and do to the commutative property of multiplication both A and B can be multtplied by 0 and still be 0.

Answer 3

True

IF AB =0, then factor AB into (A)(B) = 0 and set each factor =0, A=0 or B=0 or both =0

you might recognize that from the factoring method of solving quadratic equations.

Answer 4

Yes. In order for the product of two numbers to be zero, at least one of the numbers being multiplied must be zero.