Monday, March 21, 2011

Arun's Great big Book of integers

Chapter 1: Grade 7 Integer review

In grade 7 I learned that their are 2 types of integers, positive and negative. You can do integer problems on a number line or adding and subtracting integer chips.
(number line)

(integer chips)

Questions:
-3-(-7)
-3- (-7) = +4

-3-7
-3 - 7 = -10

3-7
3-7 = -4

3+7
3=7 = +10
_______________________________________________________________________________

Chapter 2: Multiplying integers
1: (+2) x (+3)=
or 2 groups of three
(+2) x (+3)= +6

2: (+2) x (-3)= - 6
or 2 groups of -3

3: (-2) x (+3)=-6
or remove 2 groups of +3

4: (-2) x (-3)=+6
or remove 2 groups of -3

_______________________________________________________________________________

Chapter 3: Dividing integers

Partitive division is where you know the total number of groups but are finding the number of objects that go into each group.

1: 6/2 = 3

2: -6÷ (-2)= (-3)

Quatative Division is where you know the number of objects but you are trying to find the groups.

Ex: (-6)÷2= (-3)

Sign rule:

6÷2= 3
The answer will be positive because the integers are the same sign.

-6÷ (-2)= 3
The answer will be positive because the integers are the same sign.
(-6)÷2= (-3)
The answer will be negative because the integers have different signs.

6÷(-2)= (-3)
The answer will be negative because the integers have different signs.

_______________________________________________________________________________

Chapter 4: Order of operations with integers

(+5) x (-3) + (-6) ÷ (+3)=

In this problem you need to use DMAS

This video on dividing integers really helped me out.