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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.

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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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A rational expression is a fraction. As with all fractions, the denominator of the expression cannot be equal to zero. The domain of an expression is all of the possible values for x. Finding all the values for x that equal zero shows which x values are restricted and cannot be part of the domain.

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Math formulas are used to define relationships between a number of variables. Although math formulas can be expressed in the form of equations, not all equations are math formulas. The variables in an equation are denoted by symbols such as "X" or "Y", which represent values not already known. For example, the math formula for working out the volume of a cube, or box, is given by V= lwh.

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The transverse axis of a hyperbola passes through the center and the vertices of both hyperbolic curves. When extended further, the transverse axis also intersects the foci of both curves. The length of a transverse axis for any hyperbola with a given algebraic equation [(x-h)^2]/(a^2) - [(y-k)^2]/(b^2) = 1 is 2a.