Tyler's Great Big Book Of Integers

A zero pair are 2 numbers that have the same value but opposite signs and adds up to zero Eg. -5,+5=0 "When subtracting that is isn't there use a zero pair" is a saying that I learned in grade 7.Eg. -3 - (-7)=4, -3 -7=-10, 3 -7=-4, 3 +7=10 and so on an so forth.

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

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 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