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

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

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

Confidential4 6/1/5 Dividing Integers

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

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

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.

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.

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 = 6 (-12) (-3) = 4 32 (-8) = -4 (-27)3 = -9 Remember that the QUOTIENT is the answer to a division problem

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

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

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

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

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

Confidential15 BREAK 6/1/5 Dividing Integers

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

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

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 = 25

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

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

Confidential21 6/1/5 Dividing Integers 7.)-3, USE LONG DIVISION = - 68

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

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

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