**Integers - Grade 7 Review**

**(Adding and Subracting Integers)**

(+4)+(-2)=

positive 4 AND negative 2 = positive 2

OR

you have 4 AND you owe 2 = have 2

Standard form: 4-2= 2

Make zero pairs -16 -5 +11 -2 +6 -10 -9 +3 +16 +5 -11 +2 -6 +10 +9 -3

Homework:

-3-(-7)= +4

-3-7= -10

3-7= -4

3+7= +10

-3+7= +4

**Multiplying Integers 03092011.**

*When brackets are touching, they multiply*

(+2)x(+3)=

OR

2 groups of (+3)= +6

(2)x(-3)= -6

OR

2 groups of (-3)

(-2)x(+3)=

OR

(+3)x(-2)= -6

Remove 2 groups of (+3)

(-2)x(-3)= +6

Remove 2 groups of (-3)

Sign Rules (negative signs)

EVEN: When you have an even number of negative factors, the product is POSITIVE.

ODD: When you have an odd number of negative factors, the produce is NEGATIVE.

There are 2 types of division.

*If you have no negative or an even number of negative signs in the division question, the quotient is positive.

(-6)/(-3)= 2

*When you have an odd number of (-) signs in a division question, the quotient is negative.

6/(-3= -2

(2)x(-3)= -6

OR

2 groups of (-3)

(-2)x(+3)=

OR

(+3)x(-2)= -6

Remove 2 groups of (+3)

(-2)x(-3)= +6

Remove 2 groups of (-3)

Sign Rules (negative signs)

EVEN: When you have an even number of negative factors, the product is POSITIVE.

ODD: When you have an odd number of negative factors, the produce is NEGATIVE.

**Division. 03152011.**

There are 2 types of division.

**PARTATIVE DIVISION**or Making Parts.**QUOTATIVE DIVISION**or Sharing your Total with Groups.*If you have no negative or an even number of negative signs in the division question, the quotient is positive.

(-6)/(-3)= 2

*When you have an odd number of (-) signs in a division question, the quotient is negative.

6/(-3= -2

**Daddy Brackets/Square Brackets. 03172011.**

a)

**[**(-15)/(-3)**]**-**[**(+4)x(-2)**]**=5 -(-8)= 13.

Two negatives make a positive.

b) (-6)-(-9) +

b) (-6)-(-9) +

**[**(-14)/(+2)**]**=(-6) + (-9) + (-7)=

*Re-arrange..

(-6)+(-7)+9

-13+9= -4

(-6)+(-7)+9

-13+9= -4

c) -8+(-2) x

**[**(4+(-1)**]**-8 + (-2) x 3

-8+-6 = -14

Order of Operations 03222011.

(+5) x (-3) + (-6) ÷ (+3)=

To figure out this question I would..

use BEDMAS to tell where the Square Brackets go.

B: Brackets

E: Exponents

D: Division

M: Muliply

A: Addition

S: Subtraction

So, using this I would..

(+5) x (-3) + [(-6) ÷ (+3)]=

You find out the answer that is in the brackets.

[(-6) ÷ (+3)]= -2

Then just add on the rest of the question..

(+5) x (-3)= -15

SOOOO.....

-15 + (-2)= -17

Order of Operations 03222011.

(+5) x (-3) + (-6) ÷ (+3)=

To figure out this question I would..

use BEDMAS to tell where the Square Brackets go.

B: Brackets

E: Exponents

D: Division

M: Muliply

A: Addition

S: Subtraction

So, using this I would..

(+5) x (-3) + [(-6) ÷ (+3)]=

You find out the answer that is in the brackets.

[(-6) ÷ (+3)]= -2

Then just add on the rest of the question..

(+5) x (-3)= -15

SOOOO.....

-15 + (-2)= -17

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