Distributive Property

Video 2: Distributive Property This video explains the distributive property. The distributive property says that 5 x 6 will give the same answer as 5 x (2 + 4), which will also give the same answer as 5 x 2 + 5 x 4. In other words, adding the 2 and the 4 first, and then multiplying by the 5, will give you the same answer as multiplying the 5 by the 2, then multiplying the 5 by the 4, and then adding those results to get 30. This is because we can break apart a multiplication fact into the sum of two other facts. As a different example, we can take 6 x 3 and rewrite the 6 as the sum of 4 and 2. Thus, both 4 and 2 need to be multiplied by 3, since combined the 4 and the 2 make up the 6. This makes 6 x 3 into our new product (4 + 2) x 3 = (4 x 3) + (2 x 3) = 12 + 6 = 18. The distributive property is used frequently in middle and high school math in a similar way. We can also think of distributive property as an extension of partial products; we are taking a product and re-writing one of the factors to break the larger task down into two smaller tasks whose sum is the answer. Terms used in this video while working with the distributive property are: Distribute: in the context of working with mathematical expressions, "distribute" means to multiply a number across a sum of two numbers. The distributive property is a Common Core math standard. http://www.corestandards.org/Math/Content/mathematics-glossary/Table-3 Math Videos for Parents Follow us on Facebook: www.facebook.com/mathvideosforparents Subscribe to our YouTube Channel: https://www.youtube.com/channel/UCVCVmCfZhq0mLLB6D2bbQ7Q Please reach out with any problem requests. We enjoy helping you so that you can help your kids!