1. Confidential1 Hello Peter! OUR LESSON: Dividing Integers This is Mrs. Bisanz. I will be your teacher today!

2. Confidential2 WARM-UP: 1.)(-5) x -4 x (-4) = -80 2.)10 x (-10) x -4 = 400 3.)(-13) x (-12) = 156 4.)2 x (-2) x 2 x (-2) = 8

3. Confidential3 Let's review what we learned in the last lesson. 6/1/5 Dividing Integers

4. Confidential4 6/1/5 Dividing Integers

5. Confidential5 Multiplying multi-digit numbers: 583 x (-47) = 6/1/5 Dividing Integers

6. Confidential6 6/1/5 Dividing Integers There is a relationship between DIVISION and MULTIPLICATION 12 6 = 2 2 x 6 = 12

7. Confidential7 6/1/5 Dividing Integers Let's look at that relationship with POSITIVE and NEGATIVE numbers! DIVISION MULTIPLICATION (-3) X 5 = -15 Remember that a Negative times a Positive number equals a Negative number. (- 15 ) 5 = (-3) And, in division, a Negative divided by a Positive number ALSO equals a Negative number.

8. Confidential8 6/1/5 Dividing Integers Let's look at another relationship! DIVISION MULTIPLICATION (-4) x (-5) = +20 Remember that a Negative times a Negative number equals a Positive number. (-25) (-5) = +5 And, in division, a Negative divided by a Negative number ALSO equals a Positive number.

9. Confidential9 6/1/5 Dividing Integers RULES FOR DIVIDING INTEGERS The quotient of two integers with the same sign is always POSITIVE. The quotient of two integers with different signs is always NEGATIVE. 24 4 = 6 (-12) (-3) = 4 32 (-8) = -4 (-27)3 = -9 Remember that the QUOTIENT is the answer to a division problem

10. Confidential10 6/1/5 Dividing Integers This is very similar to our MULTIPLICATION rule. Signs are the same result is POSITIVE Signs are different result is NEGATIVE

11. Confidential11 6/1/5 Dividing Integers Remember: SAME SIGNS Positive DIFFERENT SIGNS Negative Let's try a few! 1.) 18 (-3) = -6 2.) 24 6 = 4 3.) (-35) 7 = -5 4.) (-50)(-5) = 10 5.) 45 (-9) = -5

12. Confidential12 6/1/5 Dividing Integers Good! Now let's work with multi-digit numbers! (-195)13 = 1 9 5 13 Divide first and then add the appropriate sign to the answer. 1 1 3 6 5 5 6 5 0 (-195) 13 = (-15) DO YOU REMEMBER YOUR LONG DIVISION???

13. Confidential13 6/1/5 Dividing Integers Your turn! 2,464 (-16) Divide first and then add the appropriate sign to the answer. 16 2 4 6 4 1 5 4 1 6 8 6 8 0 6 4 0 = ( -154 )

14. Confidential14 6/1/5 Dividing Integers Let's try another. (-11,201) (-23) = 487 Divide first and then add the appropriate sign to the answer. 2 3 1 1 2 0 1 4 8 7 9 2 2 0 0 1 8 4 1 6 1 0

15. Confidential15 BREAK 6/1/5 Dividing Integers

16. Confidential16 GAME 6/1/5 Dividing Integers Click here to play a Game

17. Confidential17 1.)List all the numbers by which -40 is divisible. 6/1/5 Dividing Integers -40, -20, -10, -8, -5, -2, -1, 1,2, 5, 8, 10, 20, 40

18. Confidential18 2.) There are 114 students in the graduating senior class at Hillsborough High School. They have decided to host a graduation party for family and friends that will cost $2,850. Write an equation that can be used to indicate how much money eachstudent will have to contribute. Then solve the equation. 6/1/5 Dividing Integers 2850 114 = 25

19. Confidential19 6/1/5 Dividing Integers 3.)Find the next number in the sequence. 3, 12, 48, 192, 768

20. Confidential20 6/1/5 Dividing Integers Let's see how well you understood the lesson today! 1.) 24 2.) (-36) 3.) 200 4.) (-120) 5.) 45 6.) (-90) (-8) = -3 (-4) = 9 10 = 20 12 = -10 (-9) = -5 (-6) = 15

21. Confidential21 6/1/5 Dividing Integers 7.)-3,536 52 USE LONG DIVISION. 5 2 3 5 3 6 6 8 3 1 2 4 1 6 0 = - 68

22. Confidential22 6/1/5 Dividing Integers Let's review what we learned today!

23. Confidential23 6/1/5 Dividing Integers Dividing Multi-Digit Numbers REMEMBERING OUR LONG DIVISION

24. Confidential24 6/1/5 Dividing Integers Great Job Today! Remember to practice what you learned!