The document outlines rules and concepts for operations with signed numbers: 1) It discusses reviewing ratios and proportions using an example of a baseball team's win-loss record. 2) Rules for subtracting signed numbers are explained as changing the sign of numbers being subtracted and following addition rules for signs. 3) Multiplying signed numbers follows the rules of making the product positive if the signs are the same and negative if they are different. 4) Multiplying more than two signed numbers results in a positive product with an even number of negatives and a negative product with an odd number of negatives.

1. Agenda 10/17/11 1. Ratio and Proportion Review 2. Discuss HW 3. Subtracting Signed Numbers: Rules 4. Practice 5. Multiplying and Dividing Signed Numbers

2. Ratio and Proportion Review The Jays won 66 games and lost 22. A) What is the ratio of the games won to the games lost? B) What is the ratio of the games won to the games played?

3. Discuss HW

4. Subtracting Signed Numbers This is where it gets weird. To subtract signed numbers: Step 1: Change the sign of the number being subtracted. Step 2: Follow the signs for adding signed numbers. -11

5. Subtracting Signed Numbers This is where it gets weird. To subtract signed numbers: Step 1: Change the sign of the number being subtracted. Step 2: Follow the signs for adding signed numbers. -8

6. Subtracting in a Series of Signed Numbers This is where it gets weird. Step 1: To solve a series of signed numbers, start by changing the signs of numbers being subtracted. Step 2: Find the sum of the positive numbers. Step 3: Find the sum of the negative numbers. Step 4: Find the difference. Follow the rules of addition. 6 + 4 = 10 -2+ (-5) = -7 10- 7 = 3

7. Practice Exercise 3 Take some time to practice the rules.

9. Step 2: If same signs, make the product positive.

10. Step 3: If different signs, make the product negative.(-2)(+5) = -10

12. Step 2: If same signs, make the product positive.

13. Step 3: If different signs, make the product negative.(-2)(-5) = +10

14. Multiplying 3 or more signed numbers Example 4: What is (-6)(+2)(-4)? Rule: Step 1: Multiply. Step 2: If there are even negative signs, the final product is POSITIVE. Step 2: If there are an odd number of negative signs, the final product is NEGATIVE. 48

15. Rule Step 1: Multiply. Step 2: If same signs, make the product positive. Step 3: If different signs, make the product negative.

16. Exercise 4, page 289-289