Sect 1.5 Properties of Products
**Read all theorems in the text.
Ex. 15
(3 5)
3 (5
)
3 1
3
Ex. 6y(-2)
(-2)(6y)
(-1)(2)(6y)
(-1)(12y)
-12y
For all real numbers b and all nonzero real numbers c: (bc) = b
Statement Reason
1. b, c are real numbers 1. hypothesis
2. (bc)( ) = b(c
) 2.
associative for multiplication
3. = b 1 3. multiplicative
inverse
4. = b 4. multiplicative identity
5. (bc)( ) = b 5.
transitive