Whole Numbers and Decimals Unit Test
8 of 158 of 15 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 using the standard algorithm, we start by multiplying 355 by the ones digit of 893, which is 3:
355
x 3
------
1065
Next, we multiply 355 by the tens digit of 893, which is 9. However, let's temporarily ignore the zero in the tens place and just multiply 355 by 9:
355
x 9
------
3195
Now, we need to account for the zero in the tens place by multiplying the result by 10:
3195
x 10
------
31950
Lastly, we multiply 355 by the hundreds digit of 893, which is 8:
355
x 8
------
2840
Now, we add up all the products we obtained:
1065 (ones digit product)
+ 31950 (tens digit product)
+ 2840 (hundreds digit product)
------
34955
Therefore, the product of 355 and 893 is 34955.
To find the product of 355 and 893 using the standard algorithm, we can start by multiplying 355 by the ones digit in 893.
The ones digit in 893 is 3. So, we can do the following multiplication:
355
× 3
-----
1065
The product of multiplying by the ones digit is 1065.
Next, we can multiply 355 by the tens digit in 893.
The tens digit in 893 is 9. So, we can do the following multiplication:
355
× 90
-----
31950
The product of multiplying by the tens digit is 31,950.
Finally, we can multiply 355 by the hundreds digit in 893.
The hundreds digit in 893 is 8. So, we can do the following multiplication:
355
× 800
-----
284000
The product of multiplying by the hundreds digit is 284,000.
To find the final product, we can add the products of each multiplying through by each place value:
1065 + 31,950 + 284,000 = 316,015.
Therefore, the product of 355 and 893 using the standard algorithm is 316,015.
To find the product of 355 and 893 using the standard algorithm, you need to multiply each digit in 893 by each digit in 355 and then add them up.
Here's how you can do it step by step:
Step 1: Multiply 355 by the ones digit of 893.
5 (ones digit) × 355 = 1775
Step 2: Multiply 355 by the tens digit of 893 and add a zero at the end.
9 (tens digit) × 355 = 3195 (add a zero at the end to get 31950)
Step 3: Multiply 355 by the hundreds digit of 893 and add two zeros at the end.
8 (hundreds digit) × 355 = 2840 (add two zeros at the end to get 284000)
Step 4: Finally, add up the products from steps 1, 2, and 3.
1775 (ones digit) + 31950 (tens digit) + 284000 (hundreds digit) = 316725
Therefore, the product of 355 and 893 is 316725.
So, the products of multiplying through each place value in 893 are as follows:
- The product of multiplying by the ones digit is 1775.
- The product of multiplying by the tens digit is 31950.
- The product of multiplying by the hundreds digit is 284000.
- The final product is 316725.