Question

Find the product of 896 and 286 using the standard algorithm.(1 point)
Responses

256,256
256,256

256,156
256,156

14,336
14,336

254,156
254,156

Answer 1

To find the product of 896 and 286 using the standard algorithm, we can set it up as follows:

```
896
x 286
________
```

We will multiply 896 by each digit of 286, starting from the rightmost digit.

1. **Multiply 896 by 6 (the rightmost digit of 286):**
```
896
x 6
__________
5376 (This is 896 * 6)
```

2. **Multiply 896 by 8 (the second digit of 286, which is actually 80):**
```
896
x 80
__________
71680 (This is 896 * 8, shifted one position to the left)
```

3. **Multiply 896 by 2 (the leftmost digit of 286, which is actually 200):**
```
896
x 200
__________
179200 (This is 896 * 2, shifted two positions to the left)
```

Now we add all these partial results together:

```
5376
71680
+179200
_________
256256
```

The final product of \( 896 \times 286 \) is **256,256**.

Therefore, the correct answer is:

**256,256**