Showing posts with label "integers". Show all posts
Showing posts with label "integers". Show all posts

Thursday, March 24, 2011

Joshua's Great Big Book Of Integers

Chapter 1

Grade 7 Integer Review
Integers can be represented with number lines or integer chips.

Negative - Blue
Positive - Red


Zero Pairs - a pair of negative and positive numbers whose sum is 0.

ex. (-8) + (+8) = 0.
This song will help you remember when to use a zero pair:
When subtracting something that isnt there, use a zero pair.

This is how we did integers in Grade 7.


Here are some questions we did.

Chapter 2

Multiplying Integers

Here we learned how to multiply integers. Here are some questions we did.



For questions needing a zero pair you can find out how many zero pairs you need by multiplying the two factors in the question without their negative or positive signs.

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

6 zero pairs

Chapter 3

Dividing Integers

Partative Division or groups of

If you know the number of groups, but you dont know the number in each group then that is partative division.


Quotative Division

If you know the number that is in each group, but you dont know the number of groups then that is quotative division.


You could also find the answer to a division question using multiplicated-inverse

In a division question with an even amount or no (-) signs the quotient will be positive.
In a divison question with an odd amount of negative signs the quotient will be negative.

Chapter 4

Order of Operations with Integers


(+5) x (-3) + (-6) / (+3) =

To answer this question you will need to folow the rules of B.E.D.M.A.S. Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

First add square brackets around the expressions with a x or / to help remind you to answer them first. The square brackets means that you should answer the question in them before doing anything else.


Tuesday, March 8, 2011

Anna's Great Big Book of integers

Grade 7 integer review
- number line
-When subtracting something that isn't there use a zero pair.












Zero pair is:
6 -6 = 0
10 -10 = 0
11 -11 = 0
14 -14 = 0
63 -63 = 0
-When Subtracting something that isn't there, use a zero pair.
Integer examples
without pictures
-6 - ( -4) = -2
-10 +6 = -4
6 -7 +2 = 3
4 - ( -3) = 11

with pictures
+3 + (-7)= -4














-3+(-7) = -10






-3 +7= 4
















3 +7= 10







You try;
-7 -2 =
5-(-1)=
10 -3=
14 - (-9)=

Sorry guys I couldn't Upload the video, so I'll just give you the link






Chapter 2 "Multiplying Integers"















(+3) x (+2) or make 3 groups of +2
(+2) (+2) (+2) = (+6)
or you can also have repeated addition (2+2+2 ) =6
(-2) x (+3) or 3 x -2 = -6
remove 2 groups of +3

















(+2)x (-3)
2 groups of (-3)











Applying the sign rule

(-2) x (-3)
remove two groups of -3
Here is where we apply the sign rule
When you have and even number of negative factors
the answer is POSITIVE





















The answer is 6
(-2) x (+3)= -6
Remove 2 groups of positive 3

Sign Rule
When you have an odd number of negative factors
the answer is NEGATIVE
























You try;
(+4)x (+2) =
(+5) x (-2)=
(-4) x (+2) =
(-6)x (-1)=


Heres a video about "Multiplying integers"


Chapter 3 "dividing integers"
























There are two types of Division
Partitive Division or making parts/groups of
+6 ÷ +3 =
how many groups of +3 are there in +6 ? 2
(3x2=6)
(6÷3=2)
(2x3=6)
(6÷2=3)

making parts using number line










There are 2 +3's in +6

Quotative Division or sharing your total with groups


+6 ÷ +3













Here's a video about "dividing integers"


Chapter 4 "Order of Operations with Integers"

(+5) x (-3) + (-6)÷(+3)