Let's start with a simple application in arithmetic: 5(3 + 5). Grade 6 examples and questions on how to use the distributive property in algebra with detailed solutions and explanations are presented. The distributive property is the same as the distributive property of multiplication, and it can be used over addition or subtraction. Example 2 is very similar to example 1 above. 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. Practice: Visualize distributive property. For example: 3 x (4 + 5) = 3 x 4 + 3 x 5. Distributive property allows you to remove the parenthesis (or brackets) in an expression. Properties and patterns for multiplication. Based on exactly what we just did up here, that says that this whole thing is going to be the same thing as six times 10. Next lesson. Just as we first teach multiplication visually with pictures, arrays, and area diagrams, we also use visual models to introduce the distributive property. Examples of the Distributive Property. Multiply by 7, 8, or 9. 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. The following table summarizes the number properties for addition and multiplication: Commutative, Associative, Distributive, Identity and Inverse. For example, in the following multiplication: 13 x 2 --- 26 Actually 13 is being split into two parts, 10 + 3, and then the distributive property is applied. Six times 10 minus six times one. The only difference is the minus sign. Example 1 - The Distributive Property. Use of the Distributive Property in Algebra - Grade 6. Example 2 - Distributive Property with a Minus Sign. Use the Distribution Property to Expand Algebraic Expressions. Example Question #1 : Distributive Property. But we can also apply the distributive property in the other direction, then calling out a common factor, and thus: Inside of the parenthesis, we have the expression (x-7), so notice how my answer also contains the minus sign. Simplify the expression. Practice: Distributive property. One way to think about it is, I just distributed the six. Distributive Property of Multiplication. For example, you use it every time you do a multiplication. That's the distributive property right over there, and then six times 10 is equal to 60, and then six times one is equal to six. Distributive property when multiplying. Here are examples of the distributive property of multiplication at work: Possible Answers: Correct answer: Explanation: Multiply the mononomial by each term in the binomial, using the distributive property. 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