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# What is the "zero property" of multiplication?

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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.

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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A zero pair describes a pair of numbers whose sum equals zero. One number in this equation will always have a positive sign, while the other number will always have a negative sign.

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The sine of pi is zero. In trigonometry, pi is known as the root or inflection point of the sine function. When expressed in radians, the sine of pi is equivalent to the sine of a 180-degree or 360-degree angle, both of which are also equal to zero.

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A binomial distribution is a probability distribution that has only two possible outcomes which sum up to one and have fixed probabilities. Binomial distributions typically represent a binomial random variable, which is a set of X number of successes that resulted from N trials conducted in a binomial experiment. Examples of binomial distributions can be found on the websites cited in the reference section and many other statistics websites.