Whole Numbers and Decimals Unit Test 8 of 148 of 14 Items 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.(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 .
To find the product of 355 and 893, we can use the standard algorithm as follows:
355
× 893
_________________
First, we multiply 355 by the ones digit of 893, which is 3:
355
× 893
_________________
2665
Next, we multiply 355 by the tens digit of 893, which is 9, and shift the product one place to the left:
355
× 893
_________________
26795
Finally, we multiply 355 by the hundreds digit of 893, which is 8, and shift the product two places to the left:
355
× 893
_________________
284400
The product is 284400. So, the answers are:
The product of multiplying by the ones digit is 2,665.
The product of multiplying by the tens digit is 26,795.
The product of multiplying by the hundreds digit is 284,400.
The final product is 284,400.
To find the product of 355 and 893 using the standard algorithm, we follow these steps:
Step 1: Start by multiplying 355 by the ones digit of 893 (which is 3).
355 × 3 = 1065
The product of multiplying by the ones digit is 1065.
Step 2: Next, multiply 355 by the tens digit of 893 (which is 9).
355 × 9 = 3195
The product of multiplying by the tens digit is 3195.
Step 3: Now, multiply 355 by the hundreds digit of 893 (which is 8).
355 × 8 = 2840
The product of multiplying by the hundreds digit is 2840.
Step 4: Finally, add up all the products.
1065 + 3195 + 2840 = 7100
The final product is 7100.
To summarize:
The product of multiplying by the ones digit (3) is 1065.
The product of multiplying by the tens digit (9) is 3195.
The product of multiplying by the hundreds digit (8) is 2840.
The final product is 7100.
To find the product of 355 and 893 using the standard algorithm, follow these steps:
Step 1: Set up the multiplication problem vertically:
```
355
× 893
```
Step 2: Start by multiplying the ones digit (3) of 355 by each digit in 893.
- Multiply 3 by the ones digit, 3, in 893: 3 × 3 = 9. Write down the product, which is 9.
```
355
× 893
9
```
Step 3: Move to the next digit, which is in the tens place of 355.
- Multiply 5 by the ones digit, 3, in 893: 5 × 3 = 15. Write down the product, which is 15.
```
355
× 893
59
```
Step 4: Move to the next digit, which is in the hundreds place of 355.
- Multiply 5 by the ones digit, 3, in 893: 5 × 3 = 15. Write down the product, which is 15.
```
355
× 893
515
```
Step 5: Add up the products to get the final product.
```
355
× 893
+ 515
-------
316915
```
Therefore, the product of multiplying by the ones digit is 9, the product of multiplying by the tens digit is 15, the product of multiplying by the hundreds digit is 515, and the final product is 316915.