Draw the multiplication table of 3,5,7,9 in modulo 12.
From the table calculate i) (3×5) ×(5×9)
ii) (5×9) × (7×9)
Answers
Given : {3, 5, 7, 9}
To Find : Draw the multiplication table in Modulo 12
Solution:
3 5 7 9
3 9 15 21 27
5 15 25 35 45
7 21 35 40 63
9 27 45 63 81
Now using Modulo 12
9 Modulo 12 = 9
15 Modulo 12 = 3
21 Modulo 12 = 9
27 Modulo 12 = 3
25 Modulo 12 = 1
35 Modulo 12 = 11
45 Modulo 12 = 9
40 Modulo 12 = 4
63 Modulo 12 = 3
81 Modulo 12 = 9
multiplication table on p=(3, 5, 7, 9) in modulo 12
3 5 7 9
3 9 3 9 3
5 3 1 11 9
7 9 11 4 3
9 3 9 3 9
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