Binary Operations Worksheet

                    Lesson 1

                                                            

                                                            A binary operation is a set of rules for combining two objects of the same type.

                                                                                                              

                                                            Problem:       

19887358_thb.jpg

D

U

C

K

D

U

D

K

C

U

D

U

C

K

C

K

C

U

D

K

C

K

D

U

                                                                                               

                                                            Find the table above to find the number of possible outcomes.

                                                            Step 1:                    This table shows the operation 19887358_thb.jpg (Duck)

                             

                     

                                                                                Solution                          Match the column and rows to determine the outcome i.e.

 Step 2:                        

                                    D 19887358_thb.jpg U = D,  U 19887358_thb.jpg C = C,  C 19887358_thb.jpg D = K,  K 19887358_thb.jpg C = D

 

                                                We can see that there are 16 possible outcomes

 

                                                             Solution                    The answer is:  16

 Step 3:                                                                      

                                                                    

                                                                                                                                                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Do the following:

 

                                                                                                A.  Name the identity element.

 

 

                                                                                                B.  D 19887358_thb.jpg (U19887358_thb.jpg  C) = (D19887358_thb.jpg  C) 19887358_thb.jpg U    

 

 

 

        

 

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