Nicklaus' Integers Post

(If you see any mistakes, please comment)

I will label the 3 columns A,B,C. A is the left column, B is the middle column and C is the right column. I also label the rows 1-11.  I will just put the column letter and the the row number in my questions.

Question (A,4)
(-5) + (-3) = (-8)    
(because I am in Mr. Harbeck's class, I need to put the "have" and "owe" on every question. So here I go)

Owe 5 and owe 3 = owe 8

( I also have to put it into integers chips [ i don't know what you call those chips] and or to a number ling)

 Nice there are no Zero pairs, I just added all of the negative chips

 Question (A,8)
9+(-6)=3
Have 9 and owe 6 = have 3

Since there are zero pairs, i simply circled all of the zero pairs and count how many positive or negative chips there is left which in this case, there are 3 positive chips left.

Question (B,6)

8-(-7)=15

have 8 remove owe 7 = have 15

 (sorry i cant do this one on paint because there is not that much space to do this on paints)

+ + + + + + + +            - - - - - - -

+++++++                      +++++++

Question (B,7)

(-6)-9=(-15)

owe 6 owe 9 =owe 15

Question (B,9)

2-(-5)=7

have 2 remove owe 5=7 ( i added because 2 negative makes a positive so - -7 =+7)

Question(C,1)

8-(-2)= 10

Have 8 remove owe 2 =10

                                     

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 ^

Sign Rule Scribe post #2 Patricia A.

The sign rules (short) 

When multiplying integers with the same value (+or-) (-2)x(-2) the product will always be positive. 

When the value of the integers of (+,-) (+2) x(-3) The product is always negative 

Sign rules cont'd 
(+4)x(-2)x(-1)=
       8 x (-1)=+8 
When you have even amount of (-) signs the product is Positive 

When there are an odd number of (-) signs the product is negative 

http://www.mathgoodies.com/lessons/vol5/multiplication.html

(Don't mind me) 
 (〜 ≖◡ ≖)〜✧ (ノ；σ □ σ）ノ  

Julius' scribe post

Julius' scribe post

Multiplying Integers

first we learned to multiply two positives together. To multiply positives you multiply them. But you have to show your work.

For example:

(+3)x(+4)= +12

to show your work you have to write out: (number) groups of (number)

(+3)x(+4)=+13

3 groups of 4

You also have to model the question. To model you must have a certain number of groups containing a certain number of positives/negatives. But it is not a group unless you circle the groups. Then show that they are arriving

(++++) (++++) (++++)<-------

Multiplying negatives

To multiply negatives you do the same thing except with a negative.

For example:

(2)x(-3)= -6

2 groups of negative 3

(---) (---)<----

If the first number is a negative then the words start with remove

(-4)x(3)= -12

remove 4 groups of 3

to do this we need to have zero pairs

--- --- --- ---

(+++) (+++) (+++) (+++)

then make 4 groups of 3 positives. And then show that the positives/negatives are going away by making a arrow pointing away from the groups.

(+++)----> (+++)-----> (+++)-----> (+++)---->

f you are still feeling confused here is a video

feel free to criticize and correct me 

Zoe's Scribe Post #3

Multiplying integers: Positives and Negatives

Today during class we learned how to multiply integers! 

Multiplying positives:

We started off with a very simple question and it was:

(+4) x (+3)= 12

Figuring out the answer is simple if you write the question down first. In this case the question in L.A form would be 4 groups of 3. This means: 3+3+3+3= 12, this is called repeat addition (skip count).

+ + +     + + +     + + +

Even if this is a simple question we have to model the question to show our work.

Lets practice on one more multiplying positive integers question.

(2)x(3)=6

2 groups of 3. 3+3=6

                                                                   

Multiplying with negative and positive integers:

(-4)x(3)=

To make this question easier you must write it down in words.

Negative 4 remove groups of positive 3. To remove something that isn't there you must use zero pairs, in this case you have to use 12 (=4x3).

Positive: Blue
Negative: Red

Now that you have your 4 groups of 3, like in what we wrote later we have to "remove 4 groups of positive 3".

Negative x Negative multiplying.

 (-2)x(-3)= +6

 Negative 2 remove groups of negative 3= positive 6

                                                      

Remove 2 groups of negative 3:

video: http://www.youtube.com/watch?v=47wjId9k2Hs

Gabby's scribe post #2

Multiplying integers: Positives and Negatives

Today during class we learned how to multiply integers! 

Multiplying positives:

We started off with a very simple question and it was:

(+4) x (+3)= 12

Figuring out the answer is simple if you write the question down first. In this case the question in L.A form would be 4 groups of 3. This means: 3+3+3+3= 12, this is called repeat addition (skip count).

Even if this is a simple question we have to model the question to show our work.

Remember to group your integer tiles!

Lets practice on one more multiplying positive integers question.

(2)x(3)=6

2 groups of 3. 3+3=6

                                                                   

Multiplying with negative and positive integers:

(-4)x(3)=

To make this question easier you must write it down in words.

Negative 4 remove groups of positive 3. To remove something that isn't there you must use zero pairs, in this case you have to use 12 (=4x3).

Positive: Blue
Negative: Red

Now that you have your 4 groups of 3, like in what we wrote later we have to "remove 4 groups of positive 3".

Negative x Negative multiplying.

 (-2)x(-3)= +6

 Negative 2 remove groups of negative 3= positive 6

                                                      

Remove 2 groups of negative 3:

video: http://www.youtube.com/watch?v=47wjId9k2Hs

Janette's Interger Scribe Post

Question 1/8:

10 + (-2) =

First off, I write it down in 'have -- owe --" So, written down it would be 'Have 10 Owe 2', having 'and' in between the two statements is not needed.

As Mr. Harbeck has taught us, the bigger number and it's one-syllable-word-thing wins the little fight. So now we know the answer would be 'Have --"

NOW ONTO ZERO PAIR

You Have 10, so that would be:
++++++++++
- - 
You Owe 2, so that would be above this statement. So, where the red signs are it means you have a zero pair!

So, after the zero pairs cross each other out, you are left with have 8 (8 '+'s), which is the answer I got!

Question 2/8:


(-5)+(-3) =

Just like the previous question, you write it out.

Owe 5 and Owe 3 =

Owe 5: -----
Owe 3: ---

Since there are no zero pairs, you add the two numbers together to get owe 8. That's the answer I got anyways.


Question 3/8:

2-(-5) =

This is a little bit different, and it has that little rhyme thing.

What to find what isn't there, 
YOU MUST FIND A ZERO PAIR. 

Is how I remember it. (Possibly wrong.)

So, how it goes, you write it out.

Have 2 remove owe 5.

Have 2: ++

AND, owe 5:

-----

BUT YOU ADD A ZERO PAIR TO THOSE NEGATIVE HUNY BUNCHES

+++++
- - - - - THEN YOU KICK THEM OUT BECAUSE YOU DON'T WANT THEM ANYMORE. 

So now, all that's left is combining the two numbers. Have 2, and have 5.

It equals have 7 okay.



Question 4/8: 

(-7) - (-7) =

Owe 7, remove owe 7.

Owe 7: -------

Remove owe 7:

+++++++
- - - - - - - >> bYE

+7 -7 = 0.


Question 5/8

(-8) + (-3) =

Owe 8 Owe 3

Owe 8: --------

Owe 3: ---

Add them together...:

-----------

-11. YAY.

(That's the answer by the way.)

Question 6/8

8-8

Have 8, owe 8.

Have 8: ++++++++
Owe 8: - - - - - - - -

These two cross each other out since they are zero pairs, which leaves 0 left. Which is what I got for my answer.

Question 7/8: 


0 + 1

Have/Owe 0 have 1

Have 0:

Have 1: +

Answer: Have 1.



Question 8/8

9 + (-6)

Have 9, owe 6 = Have (because the bigger number is have) 3

(9-6 = 3)

Have 9: +++++++++
Owe 6: - - - - - -
(zero pairs) 

= +3. ANSWER IS 3

 

Ian's Integer Scribe Post

Integers Subtraction and Addition :

Question 1.

9-1=

For this question, we need to write it in words. Owe = Negative (-), Have = Positive (+)

Have 9 and Owe 1 =

Also you don't need to put the And, It just makes it easier.

Second Step.

You need to do it using Chips.

+ + + + + + + + +

- 

Then you can see that there is 3 Zero Pairs. + and - make a Zero Pair.

So we have to take those out. Just pretend the red ones are removed.

+ + + + + + + + +

-

Now all there is left is Positive 8. So the answer for Have 9 and Owe 1 is Have 8 or 9-1 = +8

You also don't need to put the + sign for the answer since if there is no sign it means it is positive.

If you decide to do a number line for this question this is what you do.

                                                        +9

                                              --------->

<----------------------------0------------------------------->

                                                     +8 <-

                                                          -1              

And as Mr. Harbeck told us, Positive on the Number Line go on the top and Negative on the Number Line go on the bottom.

Question 2.

6 + (-7) = 

Now you know the concept. Let's do this question.

Write it in words.

Have 6 and Owe 7 =

Second Step, Chips.

+ + + + + +

-  -  -  -  -  -  - 

Zero Pairs.

+ + + + + +

-  -  -  -  -  -  -

Left is Negative 1. So the answer for Have 6 and Owe 7 is Owe 1 or 6 + (-7) = -1

This time you need to put a negative sign for the answer because if you don't the answer will be Positive 1 which is wrong.

Number Line.

                                                    +6

                                               ------>

<-----------------------------0-------------------------------->

                                     -1   <--------

                                                      -7

Question 3.

8 - (-2) =

Now this question is different. This time we are REMOVING. If you see a question with  # - ( - #) it means we are removing. The # means numbers.

First we write it in words.

Have 8 Remove Owe 2 =

Second Step, Chips

+ + + + + + + +       - -

We have to turn the Negative into a Positive so we have to do a Zero Pair

+ + + + + + + +      - -

                              + +

Then we remove the Negatives. Like I said I'm using Red Font for removing.

Then we add it together.

+ + + + + + + +

                    + +

The answer for Have 8 Remove Owe 2 = Have 10 or 8 - (-2) = +10

Number Line.

     

            +8         +2

         --------> --> +10

<----0----------------------------------->

Question 4.

10 + (-2) = 

Words.

Have 10 and Owe 2 =

Chips.

+ + + + + + + + + +

-  -

Zero Pairs.

+ + + + + + + + + +

-  -

We have +8 left.

Answer : 10 + (-2) = +8 or Have 10 and Owe 2 = Have 8

Number Line

                      +10

               ---------->

<--------0--------------------------------->

                     +8  <--

                              -2

Question 5.

10 - 4 = 

Words.

Have 10 and Owe 4 = 

Chips

+ + + + + + + + + +

-  -  -  -

Zero Pairs.

+ + + + + + + + + +

-  -  -  -

We have +6 left.

Answer : 10 - 4 = +6 or Have 10 and Owe 4 = Have 6

Question 6.

(-8) + (-3) =

Words

Owe 8 and Owe 3 =

Chips

- - - - - - - -

- - -

No Zero Pairs.

We have -11.

Answer : (-8) + (-3) = -11 or Owe 8 and Owe 3 = Owe 11

Number Line

<--------------------------0---->

               -11 <--- <-------- 

                          -3        -8          

Question 7.

0 - 5 =

Zeros are neither Positive or Negatives they are the Middle.

Words

0 and Owe 5 =

Chips

- - - - -

No Zero Pairs.

We have -5.

Answer : 0 - 5 = - 5 or 0 and Owe 5 = Owe 5

Number Line

            -5

   -5 <-----

<---------0------->

Question 8.

8 - 4 =

Words.

Have 8 and Owe 4 =

Chips

+ + + + + + + +

-  -  -  -

Zero Pairs

+ + + + + + + +

-  -  -  -

We are left with +4.

Answer : 8 - 4 = +4 or Have 8 and Owe 4 = Have 4 

Number Line

                               8+

                           -------->

<----------------0---------------->

                            +4 <----

                                    -4

Question 9

9 - (-4) =

Words

Have 9 Remove Owe 4 =

Chips

+ + + + + + + + +      - - - -

Make Zero Pairs

+ + + + + + + + +      - - - -

                                 + + + +

Remove Negatives.

+ + + + + + + + +      - - - -

                + + + +

We are left with +13.

Answer : 9 - (-4) = +13 or Have 9 Remove Owe 4 = Have 13

Number Line

       +9              +4

      ---------> ----> +13

<--0-------------------------------->

Question 10

(-5) + (-3) = 

Words

Owe 5 and Owe 3 =

Chips

- - - - -

- - -

No Zero Pairs.

We have -8.

Answer : (-5) + (-3) = -8 or Owe 5 and Owe 3 = Owe 8

Number Line

<--------------------------0--->

                    -8   <--- <-----

                             -3      -5

Here's a video about Adding and Subtracting Integers

Saansouk's Scribe Post

I will be doing a scribe on the first lession we did.

(-6) + (+9) =

Breaking this question down in to words it would have said.

Owe 6 and Have 9 =

The reason this is what it is, it's because the - means that it's Owe and the + means that it's Have.

The job of the brackets these ( and ) are to seperate the numbers.

Finally the + in the middle stands for and it separates the number to tell you that they are what need to be added.

Sophia's Integer Scribe Post

Integer Addition and Subtraction:


Question 1:
9-1=

1. First you have to write out the question in words, owe = negative ( - )  have = positive ( + or/ numbers without the + ex. 9 )

For this question the sentence would be:
Have 9 Owe 1= 8
( You don't need an "and" but you it makes it easier for you can put one)

2.We have to put into integer chips ( + and - )

This would be:
+++++++++
-

Since there is a zero pair we take those out and then what ever we have left is the answer. Which is 8 chips ( ++++++++ ) Zero pairs are a positive sign (+) with a negative sign (-) like what we have here in the top.

3. We put it in a number line.
                      9
                 ----------->
<_______0______8_______________>
                              
                          <---
                              -1

Question 2:
6+(-7)=

1. Like what we did on the first one we need to put it in a sentence.

Have 6 Owe 7 = Owe 1

2. Put it into integer chips.

++++++
- - - - - - -

There are zero pairs, so we take them out.

3. Put it in a number line
                  6
              --------> 
<_____________-1_0____________>
                <----------
                      -7









Question 3:
(-8) + (-3) =


1. Put in sentences ( owe and have )

Owe 8 Owe 3 = Owe 11

2. Integer chips ( - and + )

- - - - - - - -    - - -

In here we have no zero pairs so we just count what we have and that is the answer.
So, that 11 chips.

3. Number line, like the others we put it in a number line.

<________-11____________0_____>
                   <------<---------
                       -3       -8









Question 4:
 9 - (-4) =

1. Put it in sentences:
Have 9 negative Owe 4 = Have 14

You see the bold negative we put that because "To remove what isn't there you must add a zero pair"

2. Integer chips:
Since this question is a bit different than other you have to do a little extra work. As before "To remove what isn't there you must add a zero pair"
Lets start with -(-4):
put into integer chips like so,
- - - -  >>>
++++
Now the negative chips goes away and gets replaced my positive chips.
Then add with positive 9 ( Have 9)
++++++++++ ++++
 which makes positive 14 ( Have 14)

3.Make a Number line.

You cannot make a number line for this question, so you need to show your work by using the integer chips.

Question 5:
(-7) - (-7) =

1. Once again put it in sentences.
Owe 7 negative Owe 7 = 0
 ( remember negative )     :)
( zero is the middle so it doesn't have a positive or negative sign )

2. integer chips:
"To remove what isn't there you must add a zero pair"
 So once again,

- - - - - - -  >>>>>>
+++++++

- - - - - - -
+++++++

Then the zero pairs are taken out. The remaining is 0.

3.Make a Number line.

You cannot make a number line for this question, so you need to show your work by using the integer chips.







\


Question 6: 
3 + 8 = 12

(Repeat what we did )
1. Write it out!
Have 3 Have 8 = Have 12

2. Integer chips!
+++    +++++++++

3.Number line
(make one on your paper)

Question 7:
 0 - 8 =8
(From the top)
1.Write the sentence (owe and have)
0 Owe 8 = Owe 8

2. ( + - )

- - - - - - - - -

3. NUMBER LINE.

Question 8: 
(-2) + 3 = 1
1. Sentence:
Owe 2 Have 3= Have 1
2.Chips.
+++
- -
There is a zero pair take it away. You have have positive 1.
3. Numberline.
(make it )

joshua's integer scribe post

How to solve Integers

First Question:
write the question down
5-2= 3

First Step:
write the question in words:
have 5 and owe 2 = have 3

Second Step:
use the tiles to show or help you how to get the answer.
5-2=3
have 5 positive tiles and have 2 owe tiles
   +++++                              --
use zero pair
5 =+++++
2 = - -          
(the highlighted in green means to remove)
 and now it's only gonna have 3 positive tiles which means the answer will be 3.

Second Question:
write down the question
-4-4=8

First Step:
Write the question in words:
owe 4 and owe 4 = owe 8

Second Step:
pretty much straight forward
-4-4=-8
it has both negatives which means you just need to have add the both numbers together and since it's negative (owe) your gonna make the answer negative by just putting a "-".

Third Question:
Write down the question
7-(-9)=16

First Step:
Write the question in words
have 7 remove owe 9 = 16

Second Step:
 Use tiles to show or help to get the answer
7-(-9)=16
have 7 positive tiles and remove 9 negative tiles
use the zero pair, have the negative match to the positive
7= +++++++
-9= - - - - - - - - -  = removed
       +++++++++
after remove all the negatives and leave the positives
then add the whole positive which it will be 16
so the answer to 7=(-9) is 16

Fourth Question:
write the question down
10+4=14

First Step:
write the question in words
have 10 and have 4 = have 14

Second Step:
use the tiles to show or help you how to get the answer.
10+4=14
have 10 positive tiles and have 4 positive tiles
it pretty much straight forward, just add the two number and the will be the answer,
so  the answer to 10 + 4 is 14.

Ainsley's Integer Scribe Post

This part of the post will show you how I understand how to subtract integers with brackets.

Step One: You write out the question: 7-(-9) = 

Step Two: You have to rewrite it using words such as owe, have, remove, & and.

Note: Owe means it's a negative number and have means it's a positive number.

Answer:  have 7 remove owe 9

Step Three: You model it in integer tiles to help show that you understand or to help you get the answer.

7- (-9) =  + + + + + + +    - - - - - - - - - 

After that, you have to make zero pairs so first you match the negatives (owes) with positives.

7- (-9)=  + + + + + + +     - - - - - - - - - 

                                        + + + + + + + + +       (pretend they're the same size)

Then, you removes those owes/negatives and you add what's left (positives) to your first amount of positives which is 7.

7- (-9)= + + + + + + +      - - - - - - - - - 

                                         + + + + + + + + +    (The highlighted part means that it is leaving.)

After that, you now add it together so : + + + + + + +    + + + + + + + + + = 16 positives or just 16.

Lastly, you add in your answers to the question.

7- (-9) = 16

have 7 remove owe 9 = have 16

Now, you'll see how I did the other questions. 

   

Carlo's Integer Scribe Post.

                                                       Today I am going to help you solve Integers ;)

Our First Question :  (-3) - 2 = +5
 Now First Step: Write it down in words.
owe 3 and owe 2
" To Remove something that is not there
We Have to use a Zero Pair" - #MrHarbeck2013

 Second Step: Use Pictures.
+ = Positive
- = Negative
 So, you have 3 negative tiles. You cannot remove something that is not there, time to use a Zero pair ;)
Now you have 2 negative tiles now add 2 more to make a zero pair. Now take the 2 negative tiles and take them out and count out how many tiles you have left. And by the way a Negative and a Negative equals a Positive. So at the end you should end up with positive 5. I hope i made this clear enough for you to understand, Im sure it was a little bit confusing but once you see me in the act of doing it you will kind of understand what grade 8 math is about.



Our Second Question: (-3) - (-1) = -2
 Now First Step: Write it down in words.
owe 3 and owe one

 Second Step: Use Pictures.
+ = Positive
- = Negative

So, you have 3 negative tiles the same thing we did on the last question to remove something that is not there we have to use a zero pair. So now you have 1 negative tile you use a zero pair on that one take the 2 negative tiles out and you should have a Negative two as your final answer.


 Our Third Question:  5-(2)= +7
 Now First Step: Write it down in words.
Have 5 and owe 2

 Second Step: Use Pictures.
+ = Positive
- = Negative
So, you have 5 positive tiles this is the most easy one out of all the other questions we do it different the one that is the highest which in this case is Positive 5 the answer has to be Positive. Now you have Negative 2 tiles to remove something that is not there you have to use a zero pair. So, now you use a zero pair instead of 2 you now have 4. Now you take the Negative 2 away and you are left with 2 extra positives. Now your final answer should be Positive 7.

Our Last Question: -5-3= +8
 Now First Step: Write it down in words.
Owe 5 and Owe 3

 Second Step: Use Pictures.
+ = Positive
- = Negative
-----    ---
So, you owe 5 you have 5 negative tiles and 3 negative tiles. This is an easy one, you just add the two integers together. Since they are both negative the Final answer has to be a Positive. 5+3= +8
--------


Hope You Guys Liked My Scribe! ;).
P.S. My First Scribe noo hatee pls. ;)

Sherilyn's Scrible Post

1. (-1) + 6 = (-2) 

How I got the answer:

2.  (-1) + (+3) = (-4)

How I got the answer:

3. (-4) + (-2)= (-6) 

How I got the answer:

4. 7 + (-3) = (+4)

How I got the answer:

5. 7 - 4 = (+3)

How I got the answer: 

Other side of the paper 

6.  - 1 - -2 = (-1)

How I got the answer:

7. 4 - -1 = (-3) 

How I got the answer:

8.  -5 - -9 = (-4)

How I got the answer

9. -5 - -8 = ( - 3) 

How I got the answer:

10. - 3 - -6 = (-3)
How I got the answer:

Subtracting Integers Scribe Post

When using integers, an easy way to understand the process of adding and subtracting them are by using the words remove, and, owe and have. Remove represents the subtraction sign (-). And represents the addition sign (+). Owe represents negative integers (-4) and have represents positive integers (+4 or 4).

-1 - (-4) =

To solve this equation, it would be best to first write out the equation in words.

owe 1 remove owe 4 =

Next would be to draw the equation using integer chips.
_  _ _ _ _

Now since you cannot subtract negative integers, you must make a zero pair.
_ _ _ _
+ + + +

Now that you have a zero pair, you may now remove the negative integers.

+ + + +

Now all that's left is the 4 positive integers and 1 negative integer.
_
+ + + +

Once again you must remove the zero pairs which will leave you with the answer.

+ + +

-1 - (-4) = 3

Here are the steps altogether.

To know whether it is an addition equation or a subtraction equation, just remember that if 2 subtraction signs are beside each other, it is a subtraction equation.

Here is a video to further understand subtracting integers.

Jonathan's integer scribe post

We are going to learn how to deal with integers with ''-'' symbol. That symbol means ''remove''.

first problem: 5-(-2)=
First we have to write it in words for this problem
                                                                         5-(-2)=
                                                            have 5 remove owe 2
Then we look at the last integer which is -2. All integer number always start off with positive and negative signs that are the same amount as the integer number. so -2 is actually>++
                                                                                                           - -
After that you take away the sign that the integer has->  -2  ++
                                                                                         (--)>this leaves
Now you are left with ++ which means you basically turned -2 into a +2.
The ''remove'' sign turns into an ''and'' sign after you change the the last integer into the opposite of what it is.
The last thing you do is to combine it all together which gives you +7      

To see if there is a remove sign all you have to do is look if to signs are right next to each other between two of the numbers and have the same sign (also counts with brackets).  ex. 6--2=                         6-(-2) =


Here are ten questions with answers to see that you know how to do removing integers:
1. (-7)-(-5)= -2                                            - - - - - - ->     combine    < +++++      
owe 7 remove owe 5                                                                          (- - - - -)>this leaves
2. 8-(-5)= 13                                                ++++++++>   combine    <+++++
have 8 remove owe 5                                                                       ( - - - - -)>this leaves
3. 5-(-2)=7                                              +++++>          combine     <++
have 5 remove owe 7                                                                         (- -)>this leaves
4. 1-(-2)= 3                                                     +>          combine     <++
have one remove owe 2                                                                      (- -)>this leaves
5. (-5)-(-4)= -1                                       - - - - ->        combine     <++++
owe 5 remove owe 4                                                                       (- - - -)>this leaves

Now lets switch the strategy up and do negative integers another way. All we have to do is change the last number into the opposite sign and make the remove sign into a combine sign. ex. 5-(-2)=5+2=7
Now lets do them on the last 5 questions.
6. (-6)-(-8)= -6+8= -2
owe 6 remove owe 8
7. (-7)-(-2)= -7+2= -5
owe 7 remove owe 2
8. (-4)-(-9)= -4+9= 5
owe 4 remove owe 9
9. (-2)-(-6)= -2+6= 4
owe 2 remove owe 6
10. (-1)-(-2)= -1+2= 1
 owe 1 remove owe 2

Here is a video that will help you understand removing integers better.

Subtracting Integer Scribe Post

Subtracting Integers
Integers are negative and positive numbers. You can use terms as "have" and "owe" instead of saying positive and negative, think of it money wise. When adding integers you would say "and" instead of saying plus and when subtracting integers you would say "remove" instead of subtract. I'm going to be explaining 2 different questions for subtracting integers.

The first question is (-5) - (-4) =
 As a sentence: owe 5 remove owe 4 =

To answer this question there's a little rhyme for it "To subtract what isn't there, you must add a zero pair" so that's what you need to do. To make a zero pair you need to add 4 positives to -4 because -4 and +4 equal 0, that's how you make zero pairs (add the opposite integer). Once you made your zero pair, you get rid of your negative numbers. So in this case you'll get rid of the -4 and you'll have +4 left over. (You always convert your second number the zero pair). Once you have your number, you're going to subtract the first number (-5) to the number you now have after making your zero pair (+4).
For this question, the answer will be -1.

The second question is: 1 - (-2) =
As a sentence: have 1 remove owe 2 =

Once again you need to make zero pairs to the second number.So you add +2 to -2 and that makes zero, which is a zero pair. Now you remove -2 because you have +2 now. Once you're done that, you remove your new answer which is +2 from 1 (when there's no symbol in front of the number it's a positive).
For this answer your answer will be 3 or +3.

YouTube Video
1:39 - 3:31 (zero pairs)



Integer game link:
http://www.xpmath.com/forums/arcade.php?do=play&gameid=49