Missing Digit
1. **State the problem:** We need to find the missing digit □ in the multiplication:
304
× 7□
The partial results and final sum are given:
2736 (which is 304 × 7)
+ 21280 (which is 304 × □ shifted one digit left)
= 24016
So, the addition is:
2736
+ 21280
= 24016
2. **Analyze the multiplication:** The first partial product, 2736, confirms that 7 × 304 = 2736.
3. **Analyze the second partial product:** It is 21280, which corresponds to 304 × the unknown digit □ multiplied by 10 (because it's shifted one digit left).
Let the missing digit be $x$, so:
$$304 \times x \times 10 = 21280$$
4. **Solve for $x$:**
$$304x \times 10 = 21280$$
$$3040x = 21280$$
Divide both sides by 3040:
$$x = \frac{21280}{3040} = 7$$
5. **Verify:**
Calculating $304 \times 7 = 2128$, and shifted one left (multiply by 10) is 21280, which matches the partial product.
6. **Conclusion:** The missing digit □ is 7.
**Final answer:**
The missing digit □ = 7.