dividing integers

33
IN ALGEBRA COUNTY DIVIDING INTEGERS

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DIVIDING INTEGERS. IN ALGEBRA COUNTY. 5 DIVIDED BY 6. CAN BE WRITTEN:. 5 DIVIDED BY 6. That’s the best way. What does division mean?. could mean 12 m&m’s divided among six people. Each person has a dixie cup. could mean 6 m&m’s divided among four people. Each person has a dixie cup. - PowerPoint PPT Presentation

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Page 1: DIVIDING INTEGERS

INALGEBRA COUNTY

DIVIDING INTEGERS

Page 2: DIVIDING INTEGERS

5 DIVIDED BY 6

CAN BE WRITTEN:

5 6 56

6 5

Page 3: DIVIDING INTEGERS

5 DIVIDED BY 6

56That’s the

best way.

Page 4: DIVIDING INTEGERS

could mean 12 m&m’s divided among six people. Each person has a dixie cup.

126

What does division mean?

Page 5: DIVIDING INTEGERS

126

Page 6: DIVIDING INTEGERS

126

Page 7: DIVIDING INTEGERS

126

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126

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126

2 each

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64

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

Page 11: DIVIDING INTEGERS

64

Page 12: DIVIDING INTEGERS

64

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64

11 each

2

Page 14: DIVIDING INTEGERS

DIVISION RULES FOR NEGATIVE

NUMBERSARE THE SAME

AS FOR MULTIPLICATION

Page 15: DIVIDING INTEGERS

Therefore:

Positive positive =Positive negative =

Negative positive =Negative negative =

+-

-+

Page 16: DIVIDING INTEGERS

The number 1 is very important in Algebra County:

55

44

-11

Page 17: DIVIDING INTEGERS

Write these in your notes:

14

1.2

7

25

2.5

5

73.

7 1

Page 18: DIVIDING INTEGERS

“Subtracting” Integers

InAlgebra County

Page 19: DIVIDING INTEGERS

In Algebra County, we don’t actually subtract. We think of the minus sign as a negative.

3 - 5We can circle the number

with its sign.

We have 3 and negative 5

Page 20: DIVIDING INTEGERS

-4 - 5 Negative 4 and negative 5

-1 + 3 Negative 1 and 3

7 - 2 7 and negative 2

-9

2

5

Page 21: DIVIDING INTEGERS

Remember how we put a “1” in places

where it is understood to be? 3 - (- 5)3 and negative 1 times negative 5

1

Page 22: DIVIDING INTEGERS

-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

Page 23: DIVIDING INTEGERS

-4 - (- 5)1

-4 + 5

Negative times

negative is positive.

1The

answeris:

Wemultiplybeforeadding

Write these in your notes:

Page 24: DIVIDING INTEGERS

-1 + 3

Negative times

negative is positive.

2The

answeris:

-1 - (- 3)1Wemultiplybeforeadding

Page 25: DIVIDING INTEGERS

7 + 2

Negative times

negative is positive.

9The

answeris:

7 - (- 2)1Wemultiplybeforeadding

Page 26: DIVIDING INTEGERS

-3 + 1

Negative times

negative is positive.

-2The

answeris:

-3 - (- 1)1Wemultiplybeforeadding

Page 27: DIVIDING INTEGERS

Now you have learned how to

“subtract”Without subtracting

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This is a symbol used in math. It shows that a

number is definitely positive and is called the absolute

value symbol.

Page 29: DIVIDING INTEGERS

We put numbers or variables inside the lines.

3 = 3The answer is 3 because the absolute value of anything is

positive.

Page 30: DIVIDING INTEGERS

3 = 3The answer is 3 because the absolute value of anything is

positive.

Even if we have a negative inside the absolute value

sign:

Page 31: DIVIDING INTEGERS

Here’s an

example:

Page 32: DIVIDING INTEGERS

5 7 =

2 2We add the

numbers inside first.

=

Page 33: DIVIDING INTEGERS

The End