Final answer:
To find the partial products of 52 x 16, multiply the ones digit, the tens digit, and the hundreds digit separately and then add them up.
Step-by-step explanation:
To find the partial products of 52 x 16, you can break down the multiplication into smaller steps. First, multiply the ones digit of 52 (2) by the ones digit of 16 (6), which equals 12. Write down 12. Next, multiply the tens digit of 52 (5) by the ones digit of 16 (6), which equals 30. Write down 30, but shift it one place to the left (since it represents tens). Finally, multiply the tens digit of 52 (5) by the tens digit of 16 (1), which equals 5. Write down 5, but shift it two places to the left (since it represents hundreds). Add up all the partial products: 12 + 30 + 500 = 542.