PLEASE HELP Pick six of the math properties listed below. Define the property and give an example of each one. If appropriate, draw a picture. (However, you may want to be somewhat familiar with all of the properties.)

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Distributive Property

Reflexive Property of Equality

Identity Property of Addition

Identity Property of Multiplication

Additive Inverse of a Number

Multiplicative Inverse of a Number

Addition Property of Zero

Multiplication Property of Zero

Property of Equality

Property of Equality for Addition

Propety of Equality for Subtraction

Property of Equality for Multiplication

Property of Equality for Division

Symmetric Property of Equality

Transitive Property of Equality

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

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x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

the weight of the object inside the box!

there should be an link icon on the bottom of the text box you get. it looks like a paperclip!