Question

Enter the missing values in the area model to find 6, ×, 2346×234.
+
+
6
Hundreds
Tens
Ones
Answer

Answer 1

To complete the area model for the multiplication \(6 \times 2346\), we can break it down as follows:

1. **Understand the number 2346**:
- 2346 consists of 2 thousands (2000), 3 hundreds (300), 4 tens (40), and 6 ones (6).
- This can be visually represented in an area model.

2. **Set up the area model**:
We can assign labels to each box in the area model based on the place values:
- Thousands: \(2000\)
- Hundreds: \(300\)
- Tens: \(40\)
- Ones: \(6\)

3. **Calculate each multiplication**:
- \(6 \times 2000 = 12000\)
- \(6 \times 300 = 1800\)
- \(6 \times 40 = 240\)
- \(6 \times 6 = 36\)

4. **Organize the area model**:

```
| 2000 | 300 | 40 | 6 |
-------------------------------------
6 | 12000 | 1800 | 240 | 36 |
-----------|-------|------|-----|-----|
Answer: | 12000 + 1800 + 240 + 36 |
```

5. **Add the areas to find the total**:
- First add \(12000 + 1800 = 13800\)
- Next add \(13800 + 240 = 14040\)
- Finally, add \(14040 + 36 = 14076\)

Thus, the total area, \(6 \times 2346\), results in:

**Answer: 14076**

So the final area model includes:
- In the hundreds box: 12000
- In the tens box: 1800
- In the ones box: 240
- In the answer box: 14076