If there is an equation instead of number, the property is hold true as well. In math, distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together. An exponent means the number of times a number is multiplied by itself. Distributive Property; Well, the distributive property is that by which the multiplication of a number by a sum will give us the same as the sum of each of the sums multiplied by that number. Only multiplication has the distributive property, which applies to expressions that multiply a number by a sum or difference. The associative property for addition is expressed as (a + b) + c = a + (b + c). You can use the distributive property of multiplication to rewrite expression by distributing or breaking down a factor as a sum or difference of two numbers. This is a concept that can be applied to a wide variety of mathematical problems. Distributive property is one of the fundamental properties of multiplication of numbers or expressions or variables. The distributive property is also useful in equations with exponents. To distribute is to divide or to spread. Distributive Property Calculator is a free online tool that displays the solutions for the given expression using the distributive property. Distributive Property with Exponents. The Distributive Property of Multiplication over Addition The distributive property of multiplication over addition allows us to eliminate the grouping symbol, usually in the form of a parenthesis. You need to follow the steps below to solve an exponent problem using distributive property: Here, for instance, calculating 8 × 27 can made easier by breaking down 27 as 20 + 7 or 30 − 3. The associative property for multiplication is expressed as (a * b) * c = a * (b * c). The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". The following diagram illustrates the basic pattern or formula how to apply it. And thank Ms Miles ( twitter / blog ) for the submission! Take for instance the equation a(b + c), which also can be written as (ab) + (ac) because the distributive property dictates that a, which is outside the parenthetical, must be multiplied by both b and c. But we can also apply the distributive property in the other direction, then calling out a common factor, and thus: Distributive Property Definition. This is a fairly simple definition of the distributive property, but it is one that is worth keeping in mind nonetheless. The distributive property is the rule that relates addition and multiplication. For example: 3 x (4 + 5) = 3 x 4 + 3 x 5. 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