Q12 of 123 Page 3

For the binary operation multiplication modulo 10(×10) defined on the set S = {1, 3, 7, 9}, write the inverse of 3.

From the definition of multiplication modulo

a*b = (m is the base of the modulo)


Here the base is 10 and the set is S = {1,3,7,9}


So, We can make the composition table as :-



The identity element is 1.


So, the inverse element of 3 is 7.


More from this chapter

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10

Define identity element for a binary operation defined on a set.

 11

Write the composition table for the binary operation multiplication modulo 10(×10) on the set S = {2, 4, 6, 8}.

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For the binary operation multiplication modulo 5(×5) defined on the set S = {1, 2, 3, 4}. Write the value of (3 ×5 4–1)–1.

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Write the composition table for the binary operation ×5 (multiplication modulo 5) on the set S = {0, 1, 2, 3, 4}.