1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate...
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Transcript of 1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate...
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1.2 Properties of Real Numbers
Here we will classify real numbers
Use the properties to evaluate expressions.
![Page 2: 1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.](https://reader036.fdocuments.net/reader036/viewer/2022072010/56649db45503460f94aa5572/html5/thumbnails/2.jpg)
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
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Rational Numbers
Can be broke into class Integers No fractionsWhole Numbers
Just Positive numbers and zeroNatural Numbers
Positive number
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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
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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?
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Associative Property
Associative property of Addition
(3 + 2) + 8 = 3 + (2 + 8)
Associative property of Multiplication
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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?
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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
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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
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147)2(7 xx
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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.
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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
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Homework
Page 15 -18 #19 – 25 odd, 29-39 odd,#40-42, 43- 61 odd, 70, 78 - 81