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What is the distributive property? The technical answer: the DISTRIBUTIVE PROPERTY states that when you multiply the sum of two or more addends by a factor, the product is the same as if you multiplied each addend by the factor and then added the partial products. But what does THAT mean? Words that make sense (hopefully): When you have a factor (number to multiply) in a math problem, and two addends (numbers to add together), you can multiply the factor by one addend, then multiply the factor by the other addend, and add the two answers together. Here’s an example 6 x (4 + 10) Step one: Distribute the 6. That means, multiply the 6 times the 4. 6 x 4 = 24 Then, multiply the 6 times the 10. 6 x 10 = 60 Step two: add the two partial products (the two answers you got) together. 24 + 60 = 84 More examples 7 x (3 + 6) 8 x (2 + 5) 1: 7 x 3 = 21 7 x 6 = 42 1: 8 x 2 = 16 8 x 5 = 40 2: 21 + 42 = 63 2: 16 + 40 = 56 Practice Solve the following problems using the distributive property 1: 5 x (4 + 3) 2: 6 x (2 + 1 ) 3: 9 x (5 + 3)