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Intermediate Math

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Submitted By jimandpam
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The commutative property and associative property allows the same result using order of operations and the ability to move terms and corresponding operational symbols throughout the equation. As Dugopolski (2012 ) noted, these properties is what allows a hamburger, coke, and French fries to cost the same as a coke, French fries, and hamburger. These properties allow for the like terms to be combined so that the equation can be computed to its simpliest form. They key to the simpliest form is that all like variables have been computed and can no longer be added. The distributive property is used to remove parenthesis. In short, this allows the equation to be broken into parts so that it can be computed easily and accurately. Removing the parenthesis and combining the equation into like variables ensures that the equation will be brought to its simpliest form without error. When the like variables are combined, like variable and like constant terms must be considered and only combined if they can be computed. The like terms are combined by computing the coefficients. This assignment will examine the properties of real numbers into the simpliest form by detailing the steps used in three specific expressions.
A) 2a(a-5) + 4(a-5) This is the given expression.
2a² -10a + 4a – 20 The parantheses are removed by using the distributive property.
2a² -6a-20 By adding the coefficients, like terms are combined
The given problem is simplified to the lowest expression because all the like terms are combined and there are no further values to compute. The final simplified expression is 2a² -6a-20. In this equation, the like terms were placed together in the center of the expression negating the need to change the order of any terms.
B) 2w – 3 + 3(w-4) – 5(w-6) This is the given expression.
2w - 3 + 3w – 12 – 5w + 30 The parantheses are removed using the

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