Use the standard algorithm to find the product of 355 and 893. Record the products of each multiplying through by each place value in 893 as well as the final product. 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 ..

Question

Use the standard algorithm to find the product of 355 and 893. Record the products of each multiplying through by each place value in 893 as well as the final product. 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

To find the product of 355 and 893 using the standard algorithm, follow these steps:

355
× 893
_______
2665 (product of multiplying 355 by 3 - the ones digit of 893)
710 (product of multiplying 355 by 9 - the tens digit of 893)
+2135 (product of multiplying 355 by 8 - the hundreds digit of 893)
_______
317315 (final product)

Therefore, the product of multiplying by the ones digit is 2665.
The product of multiplying by the tens digit is 710.
The product of multiplying by the hundreds digit is 2135.
The final product is 317315.

Answer 2

To find the product of 355 and 893 using the standard algorithm, we will multiply each digit in 355 by each digit in 893.

Here is the step-by-step process:

```
355
x 893
_____________

355 (product of multiplying by ones digit)
+ 17750 (product of multiplying by tens digit, shifted one place to the left)
+ 319500 (product of multiplying by hundreds digit, shifted two places to the left)
_____________
317415 (final product)
```

The product of multiplying by the ones digit (3) is 355.
The product of multiplying by the tens digit (9) is 17750.
The product of multiplying by the hundreds digit (8) is 319500.
The overall product is 317415.

Answer 3

To find the product of 355 and 893 using the standard algorithm, we will follow these steps:

Step 1: Write the two numbers vertically, aligning them by place value:

355
× 893

Step 2: Begin multiplying by the ones digit in 893 (3).

・ Multiply 355 by 3, which gives us 1,065.

Step 3: Write down the product under the line, aligned by place value:

355
× 893
______________
1,065

Step 4: Move to the left and multiply by the tens digit in 893 (9).

・ Multiply 355 by 9, which gives us 3,195.

Step 5: Write down the product under the line, aligned by place value:

355
× 893
______________
3,195
_______

Step 6: Move to the left and multiply by the hundreds digit in 893 (8).

・ Multiply 355 by 8, which gives us 2,840.

Step 7: Write down the product under the line, aligned by place value:

355
× 893
______________
2,840
_______
3,195
________

Step 8: Add up all the products:

・ 1,065 + 3,195 + 2,840 = 7,100

So, the product of 355 and 893 is 7,100.

Now, let's recap the products of each multiplying through by each place value in 893:

- The product of multiplying by the ones digit (3) is 1,065.
- The product of multiplying by the tens digit (9) is 3,195.
- The product of multiplying by the hundreds digit (8) is 2,840.

The final product is 7,100.