1. Multiplying Integers Concept 7

2. Things you need to know… A “negative” sign and a “minus” sign mean the same thing A “negative” sign and a “minus” sign mean “change direction” Always assume your moving in a positive direction unless you are told to “change direction”

3. Example: 8 A positive 8 means go forward eight -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

4. Example: -8 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 A “negative” 8 means “change direction” and go eight

5. How to Multiply Integers Using colored beans

6. Things you need to know White means a positive answer Shaded means a negative answer To “change direction” simply flip the bean Always assume you are moving in a positive direction until you are told to “change direction”

7. 3 x 4

10. 12

11. -3 x 4

15. -12

16. 3 x -4

19. -12

20. -3 x -4

24. -12

25. -3 x -4 12

26. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative 7 x -3

27. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative 7 x -3 This problem has one negative One is an odd number Therefore, the solution is negative Now, just multiply the numbers!

28. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative 7 x -3 This problem has one negative One is an odd number Therefore, the solution is negative Now, just multiply the numbers! -21

29. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative -4 x -5

30. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative -4 x -5 This problem has two negatives Two is an even number Therefore, the solution is positive Now, just multiply the numbers!

31. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative -4 x -5 This problem has two negatives Two is an even number Therefore, the solution is positive Now, just multiply the numbers! 20

32. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative -2 x -3 x -1

33. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative -2 x -3 x -1 This problem has three negatives Three is an odd number Therefore, the solution is negative Now, just multiply the numbers!

34. Fast Way An even number of negative signs in a problem means the solution is positive An odd number of negative signs in a problem means the solution is negative -2 x -3 x -1 This problem has three negatives Three is an odd number Therefore, the solution is negative Now, just multiply the numbers! -6