Adding Integers

Class definition for Zeroation:

-When +/- integers cancel each other out and doesn't affect the net value
-The chips being cancelled out have to have the same absolute value
-A way to solve a problem visually-doesn't affect answers.


The class made predictions:

What happens if you add:

2 positives
*Bigger number  +
*Greater absolute value

1 negative and 1 positive
*Maybe 0
*Depends if + or - has greater absolute value which ever is greater is the sign of the answer.
*First zeroation than leftovers is answer

2 negatives
*negative answer
*answer smaller
*absolute value bigger
(Answer further from 0)

Show with the red and black chips:
2+3=
-3+2=
5+-2=
-4+-5=
-4+9=
-10+3=
2+8=
-3+-7=

Let's make some generalizations. Could we write a rule?

1. The sign of the number that has the larger absolute value
2. Difference between those 2 positive numbers

Public Record for Adding

positive  plus positive
-Get a bigger positive

negative plus negative
-Get a bigger negative or smaller number or bigger absolute value. 

positive plus negative 
-convert both numbers to positive and find their difference. The answer ad the sign of the # with the longer absolute value. 

-4+3=>3+-4
             3-4

Commutative property-