Final answer:
The statement that is not a property of zero is that dividing any number by zero results in zero. Dividing by zero is undefined in mathematics. The other options correctly describe properties of zero: being neutral, invariant in addition, and acting as a multiplicand that results in zero.
Step-by-step explanation:
The question pertains to the properties of the number zero. Among the given options, the statement that is not a property of zero is option D, which claims that if you divide any number by zero, the answer will be zero. This statement is false. In mathematics, dividing any number by zero is undefined because there is no number that can be multiplied by zero to yield any other number than zero itself.
The correct properties are:
- Zero is neither positive nor negative (A).
- If you add zero to a number, the answer will be that same number (B).
- If you multiply any number by zero, the answer will be zero (C).
It's important to remember that the mathematical operations of addition, multiplication, and division follow certain rules. For instance, the commutative property of addition, denoted by A+B=B+A, applies to any two numbers including zero, which confirms option B is true. Similarly, the rule that multiplying any number by zero results in zero confirms that option C is correct. However, division by zero does not produce zero or any other number; it simply doesn't have a meaning in the real number system.
Learn more about Properties of Zero