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Sunday, January 12, 2014

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 )

1 comment:

  1. Great scribe post, you really went into detail and explained every step! You mentioned "negative" instead of "remove" in some of the questions by the way! (Question 5 #1) Owe 7 negative Owe 7 = 0. It was supposed to be Owe 7 remove owe 7.

    ReplyDelete

 

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