1. The problem is to construct a multiplication table modulo 5. 2. Modulo operation means we take the remainder when dividing by 5. 3. The table will have rows and columns from 0 to 4. 4. Each cell is calculated as $ (row \times column) \bmod 5 $. 5. For example, $3 \times 4 = 12$, and $12 \bmod 5 = 2$. 6. Constructing the table: | \times | 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 | 7. This table shows multiplication results modulo 5 for all pairs from 0 to 4.