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Construct the composition table for ×5 on set Z5 = {0, 1, 2, 3, 4}
Construct the composition table for ×5 on set Z5 = {0, 1, 2, 3, 4}
Binary Operations | CBSE | Class 12 | Exercise 3.5 | Maths | RD Sharma
Construct the composition table for ×5 on set Z5 = {0, 1, 2, 3, 4}

Answer:

1 ×5 1 = remainder obtained by dividing 1 × 1 by 5

= 1

3 ×5 4 = remainder obtained by dividing 3 × 4 by 5

= 2

4 ×5 4 = remainder obtained by dividing 4 × 4 by 5

= 1

Composition table:

×5 0 1 2 3 4
0 0 0 0 0 0
1 0 1 2 3 4
2 0 2 4 1 3
3 0 3 1 4 2
4 0 4 3 2 1
i

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