(i@oPYTHIS COURSE WILL ENABLE
6YOU TO IDENTIFY APPLICATIONS OF THE FIELD AXIOMS.
<I WILL ASK YOU SOME QUESTIONS TO FIND OUT WHAT YOU KNOW
         
-4 + 3 =


RIGHT.
PLEASE SEE YOUR TEACHER
 5 X (-7) =

CORRECT
PLEASE SEE YOUR TEACHER
 ( 2 + 3 ) + 4 = 

B

 OKAY
PLEASE SEE YOUR TEACHER
 ( 5 X 6 ) X 7 = 

DRFINE
PLEASE SEE YOUR TEACHER
3 X ( 5 + 7 ) =

CKEEP IT UP
PLEASE SEE YOU TEACHER
 ( 3 X 5 ) + ( 3 X 7 ) =

C
CHECK
PLEASE SEE YOUR TEACHER
 5 + 0 =

A
RIGHT
PLEASE SEE YOUR TEACHER
 8 X 1 =

BGOOD
PLEASE SEE YOUR TEACHER
 5 + ( -5 ) =

YES
PLEASE SEE YOUR TEACHER
 8 X 1/8 =

@PLEASE SEE YOUR TEACHER
@NOW THAT YOU HAVE SATISFACTORILY COMPLETED THE TEST ON BASIC
BOPERATIONS WITH INTEGERS, LET'S SEE HOW WELL YOU CAN IDENTIFY
THE FIELD AXIOMS. 
USE THE FOLLOWING CODE:
(AS - ASSOCIATIVE AXIOM FOR ADDITION
,   -      "        "    " MULTIPLICATION
$CL - CLOSURE AXIOM FOR ADDITION
*     "        "    "    MULTIPLCATION
(CO - COMMUTATIVE AXIOM FOR ADDITION
.   -      "        "    "  MULTIPLICATION
DI - DISTRIBUTIVE AXIOM
&ID - IDENTITY ELEMENT OF ADDITION
,   -    "        "    "  MULTIPLICATION
IN - ADDITIVE INVERSE
    - MULTIPLICATIVE INVERSE
N  - NO
Y  - YES
<LET US CONSIDER ADDITION AND MULTIPLICATION OF INTEGERS.
(-5) X 7 = -35
0WHICH AXIOM IS ILLUSTRATED IN THIS EXAMPLE?
CL
LET I BE AN INTEGER.
(-14) + (-28) = I
6STATE THE AXIOM WHICH JUSTIFIES THIS STATEMENT?/.
CL
GOOD
LET I BE AN INTEGER.
(-14) + (-28) = I
0STATE WHICH AXIOM JUSTIFIES THIS STATEMENT.
CL
FYOU SEEM TO BE HAVING TROUBLE. LET'S SPEND A LITTLE TIME EXAMINING
ONE OF THE AXIOMS.
0THE SUM A + B REPRESENTS A UNIQUE INTEGER. 
6THE PRODUCT,AB  ALSO REPRESENTS A UNIQUE INTEGER.
0WHICH AXIOM JUSTIFIES THESE TWO STATEMENTS?
CL

RIGHT

BQ,18
U
>YOU SEEM TO BE HAVING TROUBLE. LET'S SPEND A FEW MINUTES 
EXAMINING THE AXIOMS.
TYPE C TO CONTINUE.
C
CLOSURH AXIOM JUSTIFIES THIS STATEMENT.
CL
FYOU SEEM TO BE HAVING TROUBLE. LET'S SPEND A LITTLE TIME EXAMINING
ONE OF THE AXIOMS.
0THE SUM A + B REPRESENTS A UNIQUE INTEGER. 
6THE PRODUCT,AB  ALSO REPRESENTS A UNIQUE INTEGER.
0WHICH AXIOM JUSTIFIES THESE TWO STATEMENTS?
CL

RIGHT

BQ,18
U
>YOU SEEM TO BE HAVING TROUBLE. LET'S SPEND A FEW MINUTES 
EXAMINING THE AXIOMS.
TYPE C TO CONTINUE.
C