Emilys Great Big Book of Integers

Chapter one Grade 7 Review

Zero pairs are one negative and one positive number which are the same and have a sum of zero.

+4,-4

+80,-80
+497565764,-407565764

*if you see that the number does not have a sign don't be alarmed, it just means that it a positive number.

Find the zero pairs for these numbers

-6, +10, 19, -16, -11, +14

Answers

+6, -10, -19, +16, +11, -14

Integers from grade 7 have brackets eg. (+10)-(+8)

These are just training wheels for grade 8 eg. 4(-2)=

which is called Standard Form

*if the brackets are "kissing" it means they multiply.

eg. (+5)(-8)=

*To answer these questions you will need to remember a little song

"When subtracting something that isn't there use a zero pair"

Negative=Blue Positive=Red

Questions:

(-3)-7=-10

3-7=-4

3+7=+10

(-3)+7=+4

Multiplying integers

*When you have an even number of negative (-) signs it means your answer will be positive. Eg. (-8)-(-6)=+14

When you have an odd number of negative signs the answer will be negative. Eg. (-7)-8=-1

Chapter 3

Dividing Integers

A partitive division problem is one where you know the total number of groups, and you are trying to find the number of items in each group. If you have 6 rubber balls and want to divide them equally among 2 dogs , finding out how many rubber balls each dog would get is partitive division.

A quotative division problem is one where you know the number of items in each group and are trying to find the number of groups. If you have 6 rubber balls and want to give 2 balls to each dog, finding the total number of dogs is quotative division.

Chapter 4

We can solve this question using bedmas

(+5) x (-3) + (-6) ÷ (+3)=+17

(-6)÷(+3)= -2

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

(+5)x(-3)= -15

-15 + -2= +17