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Published byStuart McCarthy Modified over 4 years ago

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1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.

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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.

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Rational Numbers Can be broke into class IntegersNo fractions WholeNumbers Just Positive numbers and zero Natural 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

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Properties of Real Numbers Commutative property of Addition 3 + 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 number 5 + (-5) = 0 In Multiplication is the reciprocal of the number

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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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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.

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Homework Page 15 -18 #19 – 25 odd, 29-39 odd,#40- 42, 43- 61 odd, 70, 78 - 81

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