Use the standard algorithm to find the product of 765 and 222. Record the products of each multiplying through by each place value in 222 as well as the final product. (2 points)
To find the product of 765 and 222 using the standard algorithm, we would multiply each digit of 765 by each digit of 222 and then add up the products.
First, let's multiply 765 by the ones digit of 222:
765 × 2 = 1530
Next, let's multiply 765 by the tens digit of 222, which is 20 but represented as 2 since we are using the decimal system:
765 × 20 = 15300
Finally, let's multiply 765 by the hundreds digit of 222, which is 200 but represented as 2 since we are using the decimal system:
765 × 200 = 153000
Now, let's add up the partial products:
1530 + 15300 + 153000 = 169830
Therefore, the product of 765 and 222 is 169830.