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Hello Peter!

OUR LESSON: Dividing Integers

This is Mrs. Bisanz. I will be your teacher today!

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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

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Let's review what we learned in the last lesson.

6/1/5 Dividing Integers

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Multiplying multi-digit numbers:

583 x (-47) =

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There is a relationship between

DIVISION

and

MULTIPLICATION

12 6 = 22 x 6 = 12

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Let's look at that relationship with POSITIVE and NEGATIVE numbers!

DIVISIONMULTIPLICATION

(-3) X 5 = -15

Remember that a Negativetimes a Positive number equalsa Negative number.

(-15) 5 = (-3)

And, in division, a Negativedivided by a Positive number ALSO equals a Negative number.

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Let's look at another relationship!

DIVISIONMULTIPLICATION

(-4) x (-5) = +20

Remember that a Negativetimes a Negative number equalsa Positive number.

(-25) (-5) = +5

And, in division, a Negativedivided by a Negative number ALSO equals a Positive number.

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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 theQUOTIENT is theanswer to a divisionproblem

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This is very similar to our MULTIPLICATION rule.

Signs are the same result is POSITIVE

Signs are different result is NEGATIVE

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Remember:SAME SIGNS PositiveDIFFERENT 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

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Good! Now let's work with multi-digit numbers!

(-195) 13 =

1 9 513 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??

?

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Your turn!

2,464

(-16)

Divide first and then add theappropriate sign to the answer.

16 2 4 6 4

1 5 4

1 6

8 6

8 0

6 46 4

0

= ( -154 )

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Let's try another.

(-11,201)

(-23) = 487

Divide first and then add theappropriate sign to the answer.

2 3 1 1 2 0 1

4 8 7

9 2

2 0 0

1 8 4

1 6 11 6 1

0

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BREAK

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GAME

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Click here to play a Game

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1.) List all the numbers by which -40 is divisible.

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-40, -20, -10, -8, -5, -2, -1, 1 ,2, 5, 8, 10, 20, 40

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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 each student will have to contribute. Then

solve the equation.

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2850 114 = 25

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3.) Find the next number in the sequence.

3, 12, 48, 192, 768

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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 = 2012 = -10

(-9) = -5

(-6) = 15

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7.) -3,536

52

USE LONG

DIVIS

ION.

5 2 3 5 3 6

6 8

3 1 2

4 1 64 1 6

0

= - 68

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Let's review what we learned today!

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Dividing Multi-Digit Numbers

REMEMBERING

OUR LONG D

IVISIO

N

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Great Job Today!

Remember to practice what you learned!