Christian's Big Book of Integers

Chapter 1 Grade7 Integer Review

When something isn't there, make a zero pair.

1.) -3 - (-7) = 4

I made 7 zero pairs because I didn't have -7. So then I took away -7 and had 3 zero pairs.

Answer: +4

2.) -3 - 7 = -10

I made 7 zero pairs and took away 7.
Answer: -10

3.) 3 - 7 = -4

I drew -7 and +3. I had 3 zero pairs.
Answer: -4

4.) 3 + 7 = 10

I drew 3 then 7 more.
Answer: 10

5.) -3 + 7


I drew -3 and 7. I had 3 zero pairs.
Answer: 4

Chapter 2 Multiplying Integers

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

+++ +++ two groups of three.

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

--- --- two groups of negative three

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

+++ +++ -----> - - - - - - remove two groups of positive three

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

+++ +++ --- --- remove two groups of negative three


The Sign Rule for Multiplication

When theres an even amout of negative signs, the product will be positive.

When theres an odd amout of negative signs, the product will be negative.

Chapter 3 Dividing Integers

There are different ways to divide integers.

Partitive Division - When you use a numberline to divide integers.
Quotative Division - Share a number between an amout of groups.

Multiplication Inverse - When you rewrite a division question to a multiplication question. It helps when you can't find a way to use partitive or quotative division.

The Sign Rule for Division

The sign rule for division is almost the same as multiplication. The amout of negative sign rules is the same.

Chapter 4

(+6) x (-2) + (-6) / (+2) = ?

Do the multiplication first. Ex. [ +6 x (-2) = -12 ]

Then division -6 / (+2) = -3

Answer: -15