1. Properties of Real Numbers SWBAT identify the properties of real numbers in addition and multiplication; simplify expressions using the properties of real numbers

2. Properties PropertyAdditionMultiplication Closure a + b is a unique real number a ● b is a unique real number Commutative a + b = b + a Order doesn’t matter a ● b = b ● a Order doesn’t matter Associative a+b+c = a+(b+c) or (a+b)+c grouping doesn’t matter a●b●c = a●(b●c) or (a●b)●c grouping doesn’t matter

3. Properties PropertyAdditionMultiplication Identity a+0=a or 0+a=a Adding zero does not change a number a●1=a or 1●a=a Multiplying one does not change a number Inverse a+(-a)=0 anything plus its additive inverse is zero a●1/a=1 anything times its multiplicative inverse is one Distributive a●(b+c)=a●b+a●c Multiply both addends by the mutliple to write and equivalent expression

4. What property is being shown?  7(10+1) = 7(10) + 7(1) Distributive  8+n = n+8 Commutative  (3+4)+8 = 3+(4+8) Associative  7(1/7) = 1 Inverse of multiplication

5. What property is being shown?  9(1/9) = 1 Inverse of multiplication  1(12) = 12 Identity of multiplication  6+0 = 6 Identity of addition

6. Classwork  Complete the matching properties worksheet  Homework Worksheet #1-20