The Distributive Property comes in VERY handy when we need to simplify an expression that cannot be fully solved. For example, we could easily solve 3(4 + 5). We would use The Order of Operations (GEMDAS) to solve that! 4 + 5 is equal to 9, and then we would multiply 3 x 9 which is 27. When everything is a number, we don't really need The Distributive Property. However, what happens when we have letters, called variables, mixed in with the numbers????? In that case, the expression could NOT be fully evaluated (or solved). If your teacher gave you this problem: 4(x + 3) ... how would you SIMPLIFY it??? You would use THE DISTRIBUTIVE PROPERTY! The simplified answer would be 4x + 12 because you distributive the number 4 throughout the rest of the problem.
Check out the videos below for further explanations and to help assist in your learning! Thanks for stopping by and as always - have a GREAT day! :)
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