Chapter 1 GRADE 7 INTEGER REVIEW

(+4)-(-4) =0

Positive 4 subtract Negative 4 = 0

You have 4 and you owe 4 = 0 or none

(+6) + (-2) = +4

Positive 6 and Negative 2 = Positive 4

You have 6 and you owe 2 = have 4

These are zero pairs:

(+4 and - 4 = 0)

0 0 0 0

0 0 0 0

= zero

(- 2 and +2 = 0)

0 0

0 0

= zero

Chapter 2 MULTIPLYING INTEGERS

**SIGN RULE**

*Odd*: When you have a odd number of negative the product is negative.

*Even*: When you have a even number of negative factors the product is positive.

(+2)x(-3)=

2 groups of (-3)=(-6)

0 0 0

0 0 0

(+2)x(+3)=

2 groups of (+3)=(+6)

0 0 0

0 0 0

(-2)x(+3)

2 groups of (+3)=-6

0 0 0

0 0 0

0 0 0

0 0 0

(-2)x(-3)

2 groups of (-3)=6

0 0 0

0 0 0

0 0 0

0 0 0 ->

You take the negative part away

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:

Partitive division:

Partitive division is making parts.

Example:

6 divided by 2= 3

6 divided by - 2= - 3

**Quotative division:**

Quotative division is sharing your total, with groups.

Example:

(-6) divided by 2= -3

6 divided by (-2)= +3

Chapter 4 ORDER OF OPERATIONS WITH INTEGERS

Brackets

Exponents

Division

Multiplication

Addition

Subtraction

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)

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