1-8 notes - Section 1-8 Properties of Real Numbers Commutative Property of addition a b=b a Example 4 6= Commutative Property of Multiplication a b = ba

# 1-8 notes - Section 1-8 Properties of Real Numbers...

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Section 1-8 Properties of Real Numbers Commutative Property of addition a + b = b + a Example : 4 + 6 = Commutative Property of Multiplication a b b a = Example: = 8 9 Associative Property of Addition ) ( ) ( c b a c b a + + = + + Example : = + + ) 5 4 ( 3
Associative Property of Multiplication ) ( ) ( c b a c b a = Examples : 4 ) 2 3 ( ) 4 2 ( 3 = Identity Property of Addition a a = + 0 Examples: = + 0 9 Identity Property of Multiplication a a = 1 Example : = 1 9
Inverse Property of Addition For every a, there is an additive inverse –a such that a + (-a) = 0 Example: = - + ) 6 ( 6 Inverse Property of Multiplication For every a ) 0 ( a , there is a multiplicative inverse a 1 such that 1 ) 1 ( = a a Example : = 5 1 5 Multiplication Property of Zero For every real number n, = n Examples: = - 253 , 1
Multiplication Property of -1 For every real number n, n n - = - 1 Examples: 1) = - ) 53 ( 1 2) = - - ) 32 ( 1 Example Name the property that each equation illustrates. 1) 2 1 2 1 - = + - 2) ) 3 4 ( 3 ) 4 ( = d d 3) 12 4 ) 3 ( 4 - = - x x 4) 4 1 4 - = -
Example Tell whether the expressions in each pair are equivalent 1) 2 3 + x and x + 1 3 2) c 5 3 - and 3 5 - c 3) ) 9 4 ( - - and 4 9 - 4) rt xyz and zrt y x Example Simplify each expression 1) x x 6 3 12 + + 2) 2 1 5 4 2 4 1 5 2 1 4 + - +
Homework #____: p. 56 (1-10 and 31-39)
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