# SOLUTION: Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible. 10(8 + 4)

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 49847: Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible. 10(8 + 4) Answer by AnlytcPhil(1321)   (Show Source): You can put this solution on YOUR website!```Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible. 10(8 + 4) The PEMDAS rule says we have to do all operations inside parentheses before we can multiply. However, the DISTRIBUTIVE PROPERTY allows us to VIOLATE the PEMDAS rule to a certain extent!!! It allows us to multiply first WITHOUT doing the operations of addition or subtraction inside the parentheses first. However, when we use the DISTRIBUTIVE PROPERTY we must multiply by every term inside the parenthesesw. To demonstrate the DISTRIBUTIVE PROPERTY in your example we do not have to add the 8 and the 4 in the parentheses first. Instead we can multiply the 10 by BOTH the 8 and the 4. 10(8 + 4) = 10(8) + 10(4) = 80 + 40 = 120 That's the answer. You can check it by using PEMDAS, where we must do the addition inside the parentheses first: 10(8 + 4) 10(12) 120 We get the same answer using PEMDAS that we get when we use the DISTRIUTIVE PROPERTY. Now you may wonder why we need to learn the DISTRIBUTIVE PROPERTY since we can just use PEMDAS, and PEMDAS is easier. The answer is that in algebra where we have unknowns like x sometimes we CANNOT add what is inside the parentheses, as in the expression 10(8 + x). We CANNOT add the 8 and the x because x is unknown. However we can use the DISTRIBUTIVE PROPERTY and get rid of the parentheses: 10(8 + x) = 10(8) + 10(x) = 80 + 10x And so the DISTRIBUTIVE PROPERTY allows us to at least eliminate the parentheses even when we can't add the terms inside them. Edwin```