Ian's Dividing Integers Post

The Sign Rule makes integers easier. The Sign Rule is: If the question is a + and a + or a - and a - then the answer is postive. If they are have + and a - or - and a + then the answer is Negative.
++ = Positive
-- = Positive
+- = Negative
-+ = Negative

Question 1:
(+8) / (+4) =
There are 2 ways to answer this question.
1. "Share (+8) into (+4) equal groups."
2. "How many equal groups of (+4) are in (+8)?"

So, first way is to Share 8 into 4 equal groups.

The answer is +2

We are simply sharing 8 into 4 equal groups.





The second way, "How many equal groups of 4 are in 8?"

The answer is +2 also.
Since there is 2 groups of 4 in 8.




Question 2:
(-8) / (-4) =

First way: "Share (-8) into (-4) equal groups" You can't do the first way because we can't share -8 into -4 equal groups. So we have to do the second way.
Second way: "How many equal groups of (-4) are in (-8)?"
The answer is +2
It is a positive because of the Sign Rule. - and - make +.

Question 3:
(-8) / (+4) =
First way: "Share (-8) into (+4) equal groups"
Second way: "How many equal groups of (+4) are in (-8)?" We can't do the second way because there isn't an equal group of +4 in -8.

 The answer is -2.





Question 4:
(+8) / (-4) =
First way: "Share (+8) into (-4) equal groups"
Second way: "How many equal groups of (-4) are in (+8)?"
Both of them are wrong. So there is this thing called "Multiplicative Inverse"
Which is:
(-2) x (-4) = +8


Here is a video about Dividing Integers