You can break this into two pieces and work off of the smaller value. For example, if you presented with the problem 23 x 6. You can use it to break down problems into much more digestible pieces. This simple property can be a lifesaver in helping you organize your operations and in many cases, it can help you be a great deal more accurate with your solutions. The Importance and Uses of the Distributive Property of Multiplication As you advance through higher levels of math this will come in very handy to help you plow through all types of algebra. The property proves to be true and therefore justifies its claim. In the above example, both the equations yield the same results, which is 15. We can carryout the math further to: 25 – 10 = 15. Based on what we know now, we can rewrite this as: 5(5) - 5(2) = x. We can extend that product of five to each factor found within the parathesis. To make it easier for you to understand, consider this example: 5 (5 - 2) = x Note that this movement from bracket to without does not interact or change the addition or subtraction portion of the equation. This really gives meaning to the use of parentheses and brackets in all types of different equations. This means that when the first number is distributed to both of those number, multiplied by each of them and then added or subtracted. It allows you carry out multiplication easily and quickly and helps you rearrange all types of equation to help you organize all different forms of algebraic equations.Īccording to this property, when a number is multiplied with the sum or difference of two other numbers, it gives out the same result. Though all the properties of this mathematical operation have their own importance, one in particular, the distributive property is the most useful property of the bunch. Having four properties, it is the only mathematical operation that entails four comprehensive properties (commutative, associative, multiplicative identity property, and distributive) to make the operation easy for large and complex equations. Having said that, multiplication is both fun and challenging. What is the Distributive Property of Multiplication?Įach mathematical operation in itself is magical. Practice 3 - We step up the values a bit here for you.Practice 2 - Complete the missing parts of the equations.Multiple Choice 3 - Complete each problem displaying the distributive property of multiplication.Multiple Choice 2 - Which equation below represents the distributive property of multiplication?.Rewriting Equations 4 - This will get you on a good pace.Rewriting Equations 3 - More practice for you on this topic.
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