Social Icons

Pages

Sunday, January 12, 2014

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

1 comment:

  1. Great job! i really like your explanation, i really understand what you're explaining. i also like how you used verities of questions, great effort and it really helps if anyone doesn't understand. your video is great too! i dont know why but it's educational and it made me laugh! great job!

    ReplyDelete

 

Wikipedia

Search results

Creative Commons License