2.4 multiplication of real numbers 1
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This document discusses properties and rules of multiplication of real numbers. It covers the commutative, associative, identity and zero properties. It also discusses how multiplying a number by -1 results in the opposite of the number. Rules are provided for multiplying positive and negative numbers, including that an even number of negative factors results in a positive product and an odd number results in a negative product. Examples are worked through applying the rules and evaluating expressions for given values.
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2.4 multiplication of real numbers 1
- 1. Multiplication of Real NumbersSection 2.4P. 88
- 2. Properties of Multiplication (p.89)Commutative Property: The order in which two numbers is multiplied does not change the product.Associative Property: The way you group three numbers when multiplying does not change the product.
- 3. Properties of MultiplicationIdentity Property: The product of “1” and any number is that number. a(1) = a 3(1) = 3 -5.3(1) = -5.3Property of Zero: The product of a number and zero is 0. a ( 0 ) = 0 -4(0) = 0
- 4. Properties of MultiplicationProperty of Negative One: The product of a number and -1 is the opposite of the number. a(-1) = -a 5(-1) = -5 -4(-1) = 4Sometimes called the Prop. Of Opposites for Multiplication.
- 5. Multiplication RulesPos x pos = pos 8 (5) = 40Neg x neg = pos -8 ( -5) = 40Neg x pos = neg -8 ( 5) = -40Pos x neg = neg 8 (-5) = -40
- 6. Multiplication RulesAn even number of negative factors equals a positive answer (product)(-2) (4) (-3)(-1) (-10) = (-4)2 = (-2)4 = An odd number of negative factors equals a negative answer. (-3) (-4) (-10) = (-3)3 = (-1)17 =
- 7. Use the rules(9)(-3) = ____ (-4)(-3) = ______(8)(-1/2) (-6) = _____ (-3)3 = _____(-2) (-1/2) (-3) (-5) = _____ (-2)4 = ____
- 8. Evaluate the expression-6x , when x = 7y3 – 7, when y = - 3-2x2 +5, when x = 3-3|-3x|, when x = - 4.2
- 9. Assignment: P. 91 (#1-27)No calculators!!!!!!