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Mathematics & Economics
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# Simplifying (Coursework Sample)

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Simplifying
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Commutative properties
The 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, then
1. c +d=d+c Commutative Property of Addition
2. c x d=dxc Commutative Property of Multiplication
Note 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 in either order, the result is the same. This property is termed as Commutative Property of Multiplication.
Associative properties
This property states that both multiplication and addition can be done with two numbers at the same time.
If b, c and d are numbers, then
1. (b+c)+d=b+(c+d) Associative Property of Addition
2. (bxc)d=b(cxd) Associative Property of Multiplication
Note that division and subtraction are not associative 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.
Distributive property
This property is used when an expression has both multiplication and addition. It involves multiplication of all the terms inside the parenthesis.
Identity property
This property states that zero added to any number results to the number itself.
This properties help in solving algebra expressions as they guide one on when and how to multiply terms
The above properties have been used to solve the express...
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