1) -3 - (-7) = 4

2) -3 - 7 = -10

3) 3 - 7 = -4

4) 3 + 7 = 10

5)-3 + 7 = 4

Multiplying Integers

(+3)x(+2) is the same as (3)(2) because if brackets. are touching each other, they multiply.

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

Two groups of three.

This problem is a repeating addition problem and repeating

addition is like this.

3

+3

+3

+3

-------

12

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

two groups of negative three.

This is also a repeating addition problem but this one has a negative number.

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

This problem is different. It says that you have to take away two groups of three. But you are going to use zero pairs this time.

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

You have to use zero pairs in this problem too.

**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.

Chapter 3:Dividing Integers. Partitive division is when you know how many groups there are and you want to find how many objects are in a group; making parts. Eg.

6 ÷ 2 = 3

Quotative Division is when you know how many items are in a group and you are trying to find the number of groups; sharing

6 ÷ 2 = 3

Quotative Division is when you know how many items are in a group and you are trying to find the number of groups; sharing

the total with the groups.

Eg.

(-6) ÷ 2 = -3

Using multiplicative inverse to solve (-6) ÷ 2 = -3

The sign rule for division is the same as the sign rule for multiplication, addition, and subtraction.

Eg.

6 ÷ 2 = 3 There are no negative signs in the question, so that means that the answer it positive.

-6 ÷ (-2) = 3 There is an

6 ÷ (-2) = -3 There is one negative sign in the question, so the answer is negative.

Chapter 4:Order of Operations with Integers

Use BEDMAS to solve equations, don't use 'E'.

Steps to solve (+5) x (-3) + (-6) ÷ (+3)=

1. Put square brackets around the operation that has to be done first (multiplication, division, addition or subtraction in order from left to right) and solve.

[5x(-3)]+(-6)÷3=

2. Put square brackets around the operation that has to be done next and solve.

-15+[-6÷3]=

Eg.

(-6) ÷ 2 = -3

Using multiplicative inverse to solve (-6) ÷ 2 = -3

The sign rule for division is the same as the sign rule for multiplication, addition, and subtraction.

Eg.

6 ÷ 2 = 3 There are no negative signs in the question, so that means that the answer it positive.

-6 ÷ (-2) = 3 There is an

**even**number of negative signs in the question, so the**answer**is going to be**positive.**

**(-6) ÷ 2 = -3 There is an odd number of negative signs in this question, so the answer is negative.**

6 ÷ (-2) = -3 There is one negative sign in the question, so the answer is negative.

Chapter 4:Order of Operations with Integers

Use BEDMAS to solve equations, don't use 'E'.

Steps to solve (+5) x (-3) + (-6) ÷ (+3)=

1. Put square brackets around the operation that has to be done first (multiplication, division, addition or subtraction in order from left to right) and solve.

[5x(-3)]+(-6)÷3=

2. Put square brackets around the operation that has to be done next and solve.

-15+[-6÷3]=

-15+(-2)=-17

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