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1.2 Properties of Real Numbers

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

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1.2 Properties of Real Numbers

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  1. 1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.

  2. 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.

  3. Rational Numbers • Can be broke into class • Integers No fractions • Whole Numbers Just Positive numbers and zero • Natural Numbers Positive number

  4. 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

  5. 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?

  6. Associative Property • Associative property of Addition (3 + 2) + 8 = 3 + (2 + 8) • Associative property of Multiplication

  7. 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?

  8. 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

  9. 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

  10. 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.

  11. 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.

  12. Homework • 1.2 Properties of Real Numbers Worksheet Practice B

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