Justin Sunga's Big books of intergers post

Grade 7 Integer Review
Chapter 1

(+4) + (-2) = +2
Positive (4) and Negative (2) = positive 2
have 4 and owe 2 = have 2
Standard Form: 4 - 2 = -2
Making zero pairs:
-16 = +16, -5 = + 5, +6 = -6, -2 = +2,
-10 = +10, +3 = -3, +11 = -11, -9 = +9

Chapter 2 Multiplying Intergers :

Sign Rule:
Even: When you have an even amount of Negative factors, the product is Positive.
Odd: When you have odd amount of Negative factors, the product is Negative.

(+2)x(-3)=
2 groups of (-3)= -6
- - -
- - -
(+2)x(+3)=
2 groups of (+3)= +6
+++
+++
(-2)x(+3)=
remove 2 groups of (+3)= -6
- - -
- - -
(-2)x(-3)=
remove 2 groups of (-3)= +6
+++
+++

Chapter 3 Dividing Intergers

Sign Rule:
If you have no negative or an even amount of negative signs in a division question, the quotient is positive.

There are 2 types of division:

Partitive Division:
Making parts

EX:
6/2=3

6/-2=-3

Quotative Division:
Sharing you total with groups

EX:
(-6)/2=-3

(-6)/-2=+3

Chapter 4 Order of operations

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

(+5) x (-3) + (-6) / (+3) first you always follow BEDMAS so division is first in the question

after you do the multiplication and finally you do the addition.

example.

(+5) x (-3) + (-6) / (+3) = ( -17)

(+5) x (-3) + (-2)

(-15) + (-2)

(-17)

rowell's Great Big Book of Integers post

Chapter 1 Grade 7 Integer Review

Include positive and negative whole number and zero

Integer chips are colored disk that represented by integer

Ex;+1 and -1

zero pair includes one + and one - .

zero pair represented zero .

Integer addition can model using integer chips or diagram.

Ex; +1 + -1 = 0

CHAPTER 2 Multiplying Integers

Sign Rule (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 product is negative.

ex; (-2) x (-5) = +10

remove 2 groups of negative 5

Chapter 3 Dividing Integers

Sign Rule: If you have no negative or an even number of negative signs

in a division question, the quotient is positive.

There are 2 types of division
Partitive Division or making parts

ex; 6 /2=3 (make two parts of six)

Quotative Division or sharing your total with groups

ex; (-6) / 2 =-3 share 6 with 2 groups

Chapter 4 Order of Operations with Integers

The order of Operations is called BEDMAS :

Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

ex;

(+5) -(-3) + (-6) / (+3)

- [5 - (-3)] + [-6 / 3]
-(8) + (-2)
- 6

Order of Operations
-Solve terms in brackets first
-Multiply and Divide from left to right
-Add and subtract from left to right