2. By Gavin McGerald ProductsProducts Objective: to review rules for multiplying real numbers

3. By Gavin McGerald Multiplicative property of 0 For every real number a, a 0 = 0 and 0 a = 0 For every real number a, a 0 = 0 and 0 a = 0

4. By Gavin McGerald Multiplicative property of -1 For every real number a, a(-1) = -a and (-1)a = -a For every real number a, a(-1) = -a and (-1)a = -a

5. By Gavin McGerald Rules for Multiplication The product of two positive or two negative numbers is a positive number The product of a positive number and a negative number is a negative number The absolute value of the product of two or more numbers is the product of their absolute values The product of two positive or two negative numbers is a positive number The product of a positive number and a negative number is a negative number The absolute value of the product of two or more numbers is the product of their absolute values

6. By Gavin McGerald Examples (-3)(-2)(-1)(4)(-5) = (6)(-1)(4)(-5) = (-6)(-20) = 120 (-4) 3 (-2)(-1/3) = -12 -2 -1/3 = 24 -1/3 = -8 24(-15)(0)(13) = 0 (-3)(-2)(-1)(4)(-5) = (6)(-1)(4)(-5) = (-6)(-20) = 120 (-4) 3 (-2)(-1/3) = -12 -2 -1/3 = 24 -1/3 = -8 24(-15)(0)(13) = 0

7. By Gavin McGerald Property Of The Opposite Of A Product Property Of The Opposite Of A Product -ab = (-a)band-ab = a(-b) -ab = (-a)band-ab = a(-b)

8. By Gavin McGerald Property Of The Opposite Of A Sum -(a + b) = (-a) + (-b)