Integers Subtraction and Addition :
Question 1.
91=
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 91 = +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