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)

Answer 1

To find the product of 355 and 893 using the standard algorithm, we multiply each digit of 355 by each digit of 893 and then add the resulting products.

First, we start by multiplying 355 by the ones digit of 893, which is 3:

355
× 3
------
1065
Next, we multiply 355 by the tens digit of 893, which is 9. However, we also need to account for the place value of this digit, so we multiply it by 10:

355
× 90
------
3195
Finally, we multiply 355 by the hundreds digit of 893, which is 8. However, we need to account for the place value of this digit, so we multiply it by 100:

355
× 800
-------
284000

Now, we add up all the products we obtained:

1065
+ 3195
+284000
-------
= 288260

Therefore, the product of 355 and 893 is 288260.