Question

Consider this equation: 0B = 21. Is the equation always false, no matter what value you give the variable? Justify your answer.

Answer 1

The equation 0B = 21 is always false because multiplying any number by zero always results in zero, making it impossible for the product to be 21.

Step-by-step explanation:

When given the equation 0B = 21, this equation is always false, regardless of the value assigned to the variable B. The reason for this is because any number multiplied by zero is always zero, making the equation inherently false. This is a fundamental rule in arithmetic, similar to understanding that adding two numbers will yield a certain sum, irrespective of cultural, geographical, or historical context. For the equation in question, the zero product property applies, which states that if the product of two numbers is zero, then at least one of the multiplicands must be zero. Hence, since 21 is not zero, the equation cannot hold true for any value of B.

Answer 2

because the variable is being multiplied by 0.

Step-by-step explanation:

the B in the equation is just a place holder for any number you can think of.

the problem with that is that any number times 0 will always give you 0, so the equation will look like this now

0 = 21

this equation is false because 0 is not equal to 21.

21 is equal to 21.