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1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
1.1 Real Numbers and Number Operations
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1.1 Real Numbers and Number Operations

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Use a number line to graph and order real numbers. …

Use a number line to graph and order real numbers.
Identify properties of and use operations with real numbers.

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  • 1. Objective - To identify the properties and use operations with real numbers. Sets of Numbers Naturals - Natural counting numbers { 1, 2, 3… } Wholes - Natural counting numbers and zero { 0, 1, 2, 3… } Integers - Positive or negative natural numbers or zero { … -3, -2, -1, 0, 1, 2, 3… } Rationals - Any number which can be written as a fraction. Irrationals - Any decimal number which can’t be written as a fraction. A non-terminating and non-repeating decimal. Reals - Rationals & Irrationals
  • 2. Sets of Numbers Reals Rationals Irrationals - any number which can be written as a fraction. , 7, -0 . 4 Fractions/Decimals Integers , -0 . 32, - 2 . 1 … -3, -2, -1, 0, 1, 2, 3 ... Negative Integers Wholes … -3, -2, -1 0, 1, 2, 3 ... Zero 0 Naturals 1, 2, 3 ... - non-terminating and non-repeating decimals
  • 3. Make a Venn Diagram that displays the following sets of numbers: Reals, Rationals, Irrationals, Integers, Wholes, and Naturals. Naturals 1, 2, 3 ... Wholes 0 Integers -3 -19 Rationals -2 . 65 Irrationals Reals
  • 4. Naturals 1, 2, 3 ... Wholes 0 Integers -3 -19 Rationals -2 . 65 Irrationals Reals Imaginary Numbers
  • 5. Graphing Real Numbers on a Number Line Graph the following numbers on a number line. -4 -3 -2 -1 0 1 2 3 4
  • 6. Commutative Properties Commutative Property of Addition a + b = b + a Commutative Property of Multiplication Example: 3 + 5 = 5 + 3 Example: Properties of Real Numbers
  • 7. Associative Properties Associative Property of Addition ( a + b ) + c = a + ( b + c ) Associative Property of Multiplication Example: Example: ( 4 + 11 ) + 6 = 4 + ( 11 + 6 )
  • 8. Identities Identity Property of Addition x + 0 = x Identity Property of Multiplication Properties of Zero Multiplication Property of Zero Division Property of Zero
  • 9. Distributive Property a ( b + c ) = ab + ac or a ( b - c ) = ab - ac Inverses Additive Inverse or Opposite Multiplicative Inverse or Reciprocal
  • 10. Closure Property A set of numbers is said to be ‘closed’ if the numbers produced under a given operation are also elements of the set . Addition Multiplication
  • 11. Identify the property shown below. 1) (2 + 10) + 3 = (10 + 2) + 3 2) 3) (6 + 8) + 9 = 6 + (8 + 9) 4) 5) 6) 5 + (-5) = 0 7) Comm. Prop. of Add. Mult. Prop. of Zero Assoc. Prop. of Add. Mult. Inverse Additive Inverse Identity Prop. of Mult. Distributive

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