Question: Compute $17\times 23$ and $13\times 13$. Just the numbers.
1. We are asked to compute the products $17\times 23$ and $13\times 13$.
2. Recall the multiplication operation: multiplying two numbers means adding one number to itself as many times as the other number indicates.
3. Calculate $17\times 23$:
$$17 \times 23 = 17 \times (20 + 3) = 17 \times 20 + 17 \times 3 = 340 + 51 = 391$$
4. Calculate $13\times 13$:
$$13 \times 13 = 169$$
5. Final answers:
- $17\times 23 = 391$
- $13\times 13 = 169$