4 WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3)

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4 WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3) 9 – 2 ● 2 – 3 1 ● 10 + 5 ● 5 82 + 6 – 7 4 ● 23 + 9

3 WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3) 9 – 2 ● 2 – 3 1 ● 10 + 5 ● 5 82 + 6 – 7 4 ● 23 + 9

2 WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3) 9 – 2 ● 2 – 3 1 ● 10 + 5 ● 5 82 + 6 – 7 4 ● 23 + 9

1 WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3) 9 – 2 ● 2 – 3 1 ● 10 + 5 ● 5 82 + 6 – 7 4 ● 23 + 9

WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3) NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3) 9 – 2 ● 2 – 3 1 ● 10 + 5 ● 5 82 + 6 – 7 4 ● 23 + 9

9/27/2012 2.5 Multiplying Real Numbers Goal: Multiply real numbers using the rule for the sign of a product. Key Words: Closure property, commutative property, associative property, identity property, property of zero, property of negative one.

Multiplying Real Numbers The product of any two numbers is itself a unique real number. We say that the real numbers are closed under multiplication. This fact is called the closure property of real number multiplication. Multiplication by a positive integer can be modeled as repeated addition. EXAMPLE: 3(-2) = (-2) + (-2) + (-2) = -6 This suggests that the product of a positive number and a negative number is NEGATIVE

Multiplying Real Numbers -3(-2) = -(3)(-2) = - (-6) = 6 This suggests that the product of two negative numbers is POSITIVE.

Multiplying Real Numbers RULES FOR THE SIGN OF A PRODUCT OF NONZERO NUMBERS A product is negative if it has an odd number of negative factors. EXAMPLES: -4(5) = -20 2(-3) = -6 4(-1)(2) = -8 A product is positive if it has an even number of negative factors EXAMPLES: -4(-5) = 20 -2(-3) = 6 -4(-1)(2) = 8

Multiplying Real Numbers RULES FOR THE SIGN OF A PRODUCT OF NONZERO NUMBERS A product is NEGATIVE if it has an odd number of negative factors. A product is POSITIVE if it has an even number of negative factors.

Multiplying Real Numbers 3(-5) -2(4)(5) 9(-1)

Multiplying Real Numbers 9(-1) -5(7) -4(-6)

YOUR TURN ASSIGNMENT: WORKBOOK Page 37 #s 1-6 TEXT BOOK Page 96 #s 17-22 and 26 - 31