2. IN ALGEBRA COUNTY DIVIDING INTEGERS

3. 5 DIVIDED BY 6 CAN BE WRITTEN:

4. 5 DIVIDED BY 6 That’s the best way.

5. could mean 12 m&m’s divided among six people. Each person has a dixie cup. What does division mean?

11. could mean 6 m&m’s divided among four people. Each person has a dixie cup.

15. DIVISION RULES FOR NEGATIVE NUMBERS ARE THE SAME AS FOR MULTIPLICATION

16. Therefore: Positive positive = Positive negative = Negative positive = Negative negative = + - - +

17. The number 1 is very important in Algebra County: 1

18. Write these in your notes:

19. “Subtracting” Integers In Algebra County

20. In Algebra County, we don’t actually subtract. We think of the minus sign as a negative. 3 - 5 We can circle the number with its sign. We have 3 and negative 5

21. -4 - 5 Negative 4 and negative 5 -1 + 3 Negative 1 and 3 7 - 2 7 and negative 2 -9 2 5

22. Remember how we put a “1” in places where it is understood to be? 3 - (- 5) 3 and negative 1 times negative 5 1

23. -4 - (- 5) Neg 4 and neg 1 times neg 5 -1 - (- 3) Neg 1 and neg 1 times neg 3 7 - (- 2) 7 and neg 1 times neg 2 1 1 1

24. -4 - (- 5)1 -4 + 5 Negative times negative is positive. 1 The answer is: We multiply before adding Write these in your notes:

25. -1 + 3 Negative times negative is positive. 2 The answer is: -1 - (- 3)1 We multiply before adding

26. 7 + 2 Negative times negative is positive. 9 The answer is: 7 - (- 2)1 We multiply before adding

27. -3 + 1 Negative times negative is positive. -2 The answer is: -3 - (- 1)1 We multiply before adding

28. Now you have learned how to “subtract” Without subtracting

29. This is a symbol used in math. It shows that a number is definitely positive and is called the absolute value symbol.

30. We put numbers or variables inside the lines. = The answer is 3 because the absolute value of anything is positive.

31. = Even if we have a negative inside the absolute value sign:

32. Here’s an example:

33. = We add the numbers inside first. =

34. The End