Q:

# What is the "zero property" of multiplication?

A:

The zero property of multiplication states that if a times b equals zero, then either a or b (or both) must equal zero. It is also called the zero product property.

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Multiplying any number by zero gives a product of zero. Therefore, if the product of two numbers is zero, one or both of those numbers must be zero. This property may seem self-evident, but it can be very useful for many mathematical processes, such as solving quadratic equations. It is important to note that the reverse process, dividing by zero, is not possible in normal mathematics. This why the denominator of a fraction can never equal zero.

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## Related Questions

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Hyperbolas always sit on a certain point that is either on the y or the x axis at -1. The center of the hyperbola remains at that point no matter how far the graph is created from the center or how far it is zoomed out.

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To solve the quadratic equation ax^2 + bx + c - 0, plug the corresponding numbers into the quadratic formula. Take the opposite of b, and provide the option of adding or subtracting the square root of (b^2 - 4ac). Divide the result by 2a.

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Some students find algebra intimidating because they are uncomfortable replacing numbers with letters. However, basic algebra builds directly on things they already know from arithmetic. To teach beginning algebra, set up short exercises within 20-30 minute lessons using equations that are easy to prove.