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23. Which property justifies the statement [tex]\((a - b) \cdot 0 = 0\)[/tex]?

A. Inverse Property
B. Associative Property
C. Distributive Property
D. Zero Product Property

Sagot :

GinnyAnsweridn
The property that justifies the statement [tex]\((a-b) \cdot 0 = 0\)[/tex] is the Zero Product Property.

The Zero Product Property states that any number multiplied by zero is zero. In other words, for any real number [tex]\(x\)[/tex], [tex]\(x \cdot 0 = 0\)[/tex].

Let's apply this to the given expression:

1. We start with the expression [tex]\((a - b) \cdot 0\)[/tex].
2. According to the Zero Product Property, any number (or expression) multiplied by zero equals zero.
3. Therefore, [tex]\((a - b) \cdot 0 = 0\)[/tex].

This demonstrates that the Zero Product Property is the one that justifies this statement.

So, the correct answer is:
D. Zero Product Property
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