Question

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

Answer 1

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

1. **Set up the numbers for multiplication**:
```
896
× 286
```

2. **Multiply 896 by each digit of 286, starting from the right (the units place)**:

- Multiply 896 by 6 (the units place of 286):
```
896
× 6
------
5376 (this is 6 × 896)
```

- Multiply 896 by 8 (the tens place of 286) and remember to add a zero at the end:
```
896
× 80
------
71680 (this is 80 × 896, or 8 × 896 with a zero added)
```

- Multiply 896 by 2 (the hundreds place of 286) and add two zeros at the end:
```
896
× 200
------
179200 (this is 200 × 896, or 2 × 896 with two zeros added)
```

3. **Now, add all the products together**:
```
5376
+71680
+179200
---------
256256
```

Thus, the product of 896 and 286 is **256256**.