Final answer:
To multiply using the vertical multiplication method, line up the numbers vertically and multiply each place value separately. The product of 32 and 51 is 1,632.
Step-by-step explanation:
To multiply using the vertical multiplication method, line up the numbers vertically so that the ones place of the second number is under the ones place of the first number. Multiply 2 (ones place of 32) by 1 (ones place of 51) to get 2. Write this as the ones place of your product. Now, multiply 2 (ones place of 32) by 5 (tens place of 51) to get 10. Since this is a two-digit number, write the 0 in the tens place and carry over the 1 to the next column.
Then, multiply 3 (tens place of 32) by 1 (ones place of 51) to get 3. Write this as the tens place of your product. Finally, multiply 3 (tens place of 32) by 5 (tens place of 51) to get 15. Add the carried over 1 to get 16. Write this as the hundreds place of your product. Therefore, the product of 32 and 51 is 1,632.