1.2 Properties of Real Numbers
Here we will classify real numbers
Use the properties to evaluate expressions.
Real Numbers
Rational numbers 4 , 0.08, 1/5, 7/11
Numbers that can written as a fractions
Irrational Numbers Numbers that cannot be written as a fraction
Together the numbers make up the real number line.
5,2,,e
Rational Numbers
Can be broke into class Integers No fractionsWhole Numbers
Just Positive numbers and zeroNatural Numbers
Positive number
So the number 5 is an Natural number, a whole number, an integer, a rational number and a Real number same as
The number – 176 would be an integer, a rational number and a Real Number
The number would be a rational number and a Real Number as would
25
15
7
64.0
Properties of Real Numbers
Commutative property of Addition3 + 8 = 8 + 3
Commutative property of Multiplication
Why state property of Addition, does not subtract work the same why?
6886
Associative Property
Associative property of Addition
(3 + 2) + 8 = 3 + (2 + 8)
Associative property of Multiplication
543543
Identity element
What is a number that you can add to any number and not change it.
What is a number that you can multiply to any number and not change it?
Additive and Multiplicative Inverse
The inverse is the number that brings you back to the Identity element.
In addition it is the opposite of the number5 + (-5) = 0
In Multiplication is the reciprocal of the number
18
18
Distributive Property
Here is where you multiply across addition or subtract.
Of course we would use Order of Operation to add 4 + 6 first.
But what about this one
6343643
147)2(7 xx
Distributive does what its name mean. When you distributive paper, everyone in
the row would get a paper.
It would multiply every term (little algebra expression) in the parentheses.
Simplify an Expression
With using the properties you have something I call Adding Like Terms
Adding Like Terms is where you add the coefficients of the terms with the same degree and variable.
xxx 1275
Homework
Page 15 -18 #19 – 25 odd, 29-39 odd,#40-42, 43- 61 odd, 70, 78 - 81
Top Related