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Construct the Composition Table for +5 on Set S = {0, 1, 2, 3, 4}. - Mathematics

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Question

Construct the composition table for +5 on set S = {0, 1, 2, 3, 4}.

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Solution

1 \[+_5\] 1 = Remainder obtained by dividing 1 + 1 by 5

= 2

3 \[+_5\] 4 = Remainder obtained by dividing 3 + 4 by 5
           = 2

4 \[+_5\] 4 = Remainder obtained by dividing 4 + 4 by 5
             = 3

So, the composition table is as follows :

+5 0 1 2 3 4
0 0 1 2 3 4
1 1 2 3 4 5
2 2 3 4 0 1
3 3 4 0 1 2
4 4 0 1 2 3

 

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Chapter 3: Binary Operations - Exercise 3.5 [Page 33]

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RD Sharma Mathematics [English] Class 12
Chapter 3 Binary Operations
Exercise 3.5 | Q 2 | Page 33

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