Thessa's Great Book of Integers

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.

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) + [(-14)/(+2)]=

(-6) + (-9) + (-7)=

*Re-arrange..
(-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