Question

se the traditional method or rectangular method to solve the problem.
207x 43

Answer 1

To solve \( 207 \times 43 \) using the traditional rectangular method (also known as the box method), we can break the numbers into their place values.

Let's break down \( 207 \) and \( 43 \):

- \( 207 \) can be broken down into \( 200 + 7 \).
- \( 43 \) can be broken down into \( 40 + 3 \).

Next, we can set up the box method by creating a grid:

```
| 40 | 3 |
-----------------------------
200 | 8000 | 600 |
-----------------------------
7 | 2800 | 21 |
```

Now, we fill in each cell by multiplying the values at the top and the left of the box:

1. \( 200 \times 40 = 8000 \)
2. \( 200 \times 3 = 600 \)
3. \( 7 \times 40 = 280 \)
4. \( 7 \times 3 = 21 \)

Next, we add all these products together to get the final result:

\[
8000 + 600 + 280 + 21
\]

Now, let's add these step by step:

1. \( 8000 + 600 = 8600 \)
2. \( 8600 + 280 = 8880 \)
3. \( 8880 + 21 = 8901 \)

Thus, the result of \( 207 \times 43 \) is \( 8911 \).