# A discussion of why the properties of real number

## A discussion of why the properties of real numbers are important to know when working with algebra. In what ways are they useful for simplifying algebraic expressions?

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# Simplifying

INSTRUCTIONS:
• Use the properties of real numbers to simplify the following expressions: • 2a(a – 5) + 4(a – 5) • 2w – 3 + 3(w – 4) – 5(w – 6) • 0.05(0.3m + 35n) – 0.8(-0.09n – 22m) • Write a two page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to include: • Your solution to the above problem, making sure to include all mathematical work. o Plan the logic necessary to complete the problem before you begin writing. Show every step of the process of simplifying and identify which property of real numbers was used in each step of your work. Please include your math work on the left; the properties used on the right. • A discussion of why the properties of real numbers are important to know when working with algebra. In what ways are they useful for simplifying algebraic expressions? • The incorporation of the following five math vocabulary words into the text of your paper. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): • Simplify • Like terms • Coefficient • Distribution • Removing parentheses
CONTENT:
SimplifyingNameProfessor`s nameInstitutionDateCommutative propertiesThe cumulative property of multiplication and addition states that addition and multiplication can be done in any order one wants without changing the answer.If c and d are real numbers, then1. c +d=d+c Commutative Property of Addition2. c x d=dxc Commutative Property of MultiplicationNote that division and subtraction are not commutative (6-8=-2), but if one first rewrites a subtraction problem as an addition problem and a division problem as a multiplication problem, then he can use the appropriate property.Note that if two numbers are added in either order, the result is the same .This property is termed as the Commutative Property of Addition. On the other hand, note that if two numbers are multiplied i...