**Integers:**

and how to use them

**Addition**

Subtraction

Multiplication and Division

Practice

Subtraction

Multiplication and Division

Practice

Adding Integers

Rules:

Same Sign Sum

keep the same sign

-if the problem has the same signs, your answer will have the same sign.

ex. 2+2=2 -4+(-3)=(-7)

Different Sign Difference

keep the sign of the most

-if there's more of that sign, you will keep that sign.

ex. *4+(-8)=(-4) 8+(-4)=4

*notice how the number (4) is actually bigger than (-8), but there are more amount of negatives than there are positives, so you will have a negative answer.

Subtracting Integers

Rules:

Keep, Change, Change

the first number, "-" sign to "+", and the sign of the next number

ex. 2-5 -4-(-9)

2+(-5) -4+(+9)

keep:

change:

change:

1.)

2.) follow addition rules

-after keep, change, change, follow addition rules.

ex. 2+(-5)=(-3) -4+(+9)=5

Keep, Change, Change

Multiplication and Division

Rules:

Same Sign, Positive

If the numbers have the same signs, the answer is always positive.

-multiply and divide as you normally would.

ex. -4 x (-2) = 8 -8 ÷ (-4) = 2

**Other Methods:**

If you're adding numbers with different signs, it's just like subtracting. Except sometimes, you have to put a negative sign.

ex. -7+9 = 2 -6+3=-3

Different Sign, Negative

If it has different signs, the answer is always negative.

-multiply and divide normally.

ex. -9 x 2 = -18 3 x (-4) =-12

Practice:

1.) 3+4=?

2.) 6+(-9)+2=?

3.) -20+17=?

7

-1

-3

Other Methods: (without KCC)

Subtracting a negative number with a positive number is just like adding, just add a negative sign to your final answer!

ex. -3-4=-7 -5-6=-11

Questions:

Practice:

1.) 20÷(-4)=?

-5

2.) -14x2=?

-28

3.) -7x(-5)=?

35

Practice:

1.) 8-5=?

2.) 21-(-7)=?

3.) -4-5=?

3

28

-9

Addition: Subtraction:

Multiplication: Division:

1.) 6-10 =

2.) -29+17=

3.) 38+(-39)=

4.) -15+20=

5.) -8+5=

1.) 9-23=

2.) 1-9=

3.) -12-(-24)=

4.) -13-20=

5.) 2-(-23)=

1.) 3x(-3)=

2.) -7x2=

3.) 3x(-5)=

4.) -4x4=

5.) 4x(-3)=

1.) 36÷(-9)=

2.) -21÷3=

3.) -40÷(-2)

4.) -125÷5

5.) 28÷(-4)

Addition:

1.) -4

2.) -12

3.) -1

4.) 5

5.) -3

Subtraction:

1.) -14

2.) -8

3.) 12

4.) -33

5.) 25

Multiplication:

1.) -9

2.) -14

3.) -15

4.) -16

5.) -12

Division:

1.) -4

2.) -7

3.) 20

4.) 25

5.) -7

ANSWER KEY: