Intro and Algebra: Chapter 1-2
The Commututive and Identity Properties
Commutative property is only for addition and multiplication.
`x + 5 = 5 + x`
`5 * y = y * 5`
Remember the identify properties of addition (0) and multiplication (1).
Anything to the 1st power is the number and anything to the 0 power is always = 1.
`z^1=z` and `z^0=1`
To form equivalent expressions, multiply the expression by `1/1` or variable/variable, like `y/y`. For example, convert `z/2` to an equivalent expression using `1/1` or `y/y`. To do this we have:
`z/2= z/2 * y/y = (zy)/(2y)
We can simplify algebraic expressions using the identity property for multiplication. For example, simplify `(xy)/(3y)
`(xy)/(3y) = (x*y)/(3*y) = x/3*y/y = x/3
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