Enter the missing values in the area model to find 6, ×, 2346×234.

Question

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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