Question

Use the standard algorithm to find the product of 319 and 384. Record the products of each multiplying through by each place value in 384 as well as the final product.(2 points) The product of multiplying by the ones digit is . The product of multiplying by the tens digit is . The product of multiplying by the hundreds digit is . The product is .

Answer 1

last one is wrong

Answer 2

To find the product of 319 and 384 using the standard algorithm, we will multiply 319 by each digit of 384, starting from the rightmost digit.

1. **Multiply by the ones digit (4)**:
\[
319 \times 4 = 1276
\]

2. **Multiply by the tens digit (8)** (Remember to shift one position to the left, or add a zero):
\[
319 \times 8 = 2552 \quad \text{(Now we add a zero: } 25520\text{)}
\]

3. **Multiply by the hundreds digit (3)** (Shift two positions to the left, or add two zeros):
\[
319 \times 3 = 957 \quad \text{(Now we add two zeros: } 95700\text{)}
\]

Now we will add all these products together to find the final product:

```
1276 (from multiplying by 4)
25520 (from multiplying by 8)
95700 (from multiplying by 3)
________
122256 (final product)
```

So, we can record our products:

- The product of multiplying by the ones digit is **1276**.
- The product of multiplying by the tens digit is **25520**.
- The product of multiplying by the hundreds digit is **95700**.
- The final product is **122256**.

Answer 3

Let’s carefully go through the multiplication of 319 and 384 again step by step.

1. **Multiply by the ones digit (4)**:
\[
319 \times 4 = 1276
\]

2. **Multiply by the tens digit (8)** (which represents 80):
\[
319 \times 8 = 2552 \quad \text{(now shift one position to the left: add a zero)} = 25520
\]

3. **Multiply by the hundreds digit (3)** (which represents 300):
\[
319 \times 3 = 957 \quad \text{(now shift two positions to the left: add two zeros)} = 95700
\]

Now, we will add these results together:

```
1276 (from multiplying by 4)
25520 (from multiplying by 80)
95700 (from multiplying by 300)
_________
122256 (final product)
```

So let's summarize:
- The product of multiplying by the ones digit (4) is **1276**.
- The product of multiplying by the tens digit (8) is **25520**.
- The product of multiplying by the hundreds digit (3) is **95700**.
- The final product is indeed **122256**.

Hence, the previous explanation is accurate as follows:
- The products recorded are correct and the final answer is confirmed as **122256**. If you found it to be incorrect, please clarify which part seems wrong according to your expectations.