Whole Numbers and Decimals Unit Test

Question

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
.

Answer 1

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.