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

Dividing Integers Scribe #2

Have ----->(+8)  ÷ (+4) <---- Groups
There are two ways to solve this problem:
1) Share (8) into 4 equal groups
++ ++ ++ ++
2) How many groups of 4 are in 8?
++++ ++++

(-8)  ÷ (-4) = 
Share (-8) into (-4) equal groups
We cant do that because we cant share negative into another negative. 
How many equal groups of (-4) are in (-8)
---- ----
(-8) ÷ (+4) =
Share (-8) into 4 equal groups
-- -- -- -- 
How many groups of (-4) are in (-8)?
(+8) ÷ (-4) =
Share (+8) into (-4) equal groups
How many groups of (-4) are in (+8)?
-2 x -4 = 8
^This is called Multiplicative Inverse ^

Janette's Dividing Integers Scribe Post

(+8) / (+4) = *using a '/' because I don't have a division thing.* 

The way to solve this question is in two ways.

1. In the words:
          "Share 8 into 4 equal groups."

(I'm gonna put in a picture because I'm lazy.) 

So pretty much, this is what it would be separated into. (Answer is obviously 2.)






Now, the second way to say this question would be,
                "How many equal groups of 4 are in 8?"

So, the answer would be 2 once again.





NEXT QUESTIONABLE QUESTION THAT MADE ME CRY OK LET'S GO

(-8) / (-4)

Share (-8) into (-4) equal groups. 
 NO. DO NOT PUT THAT. You can't share negatives into a negative amount of groups. So, we use the other statement.

How many equal groups of -4 are in -8? 2.

This is positive 2, because of the sign rule where it says "an even number of negatives will always result in a positive.".

So..yeah.

(-8) / (4)

Share -8 in 4 equal groups.

The answer is -2.





For the second way,

How many groups of 4 are in -8
Lol u loser we can't do that.

Question 4 (Final question.)

(8) / (-4) =

Share 8 in -4 equal groups. 
No.

How many groups of -4 are in 8?
Nope lol

NOW THIS IS A PART WHERE WE CRY. BECAUSE WE ARE GOING INTO SOMETHING CALLED THE MULTIPLICATIVE INVERSE.

The statement which is the Multiplicative inverse, is "What times ____ gives you ____?"

And there is a new equation for this. Now, it is:

(-2) x (-4) = +8.

Aaaaaand we're done! Yayayayayayayay