Question

Multiply Whole Numbers Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 5 of 55 of 5 Items Question Use the standard algorithm to find the product of 2,456 and 867. Record the products of each multiplying through by each place value in 867 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

19,720

Explanation:

To find the product of 2,456 and 867 using the standard algorithm, we multiply each digit of 867 by each digit of 2,456, starting from the ones digit and moving to the left. Let's go step by step:

Step 1: Multiply the ones digit of 867 (7) by each digit of 2,456:

7 multiplied by 6 is 42. Write down the 2 and carry over the 4.

7 multiplied by 5 is 35. Add the carried over 4 to get 39. Write down the 9 and carry over the 3.

7 multiplied by 4 is 28. Add the carried over 3 to get 31. Write down the 1 and carry over the 3.

Step 2: Multiply the tens digit of 867 (6) by each digit of 2,456:

6 multiplied by 6 is 36. Write down the 6 and carry over the 3.

6 multiplied by 5 is 30. Add the carried over 3 to get 33. Write down the 3 and carry over the 3.

6 multiplied by 4 is 24. Add the carried over 3 to get 27. Write down the 7 and carry over the 2.

Step 3: Multiply the hundreds digit of 867 (8) by each digit of 2,456:

8 multiplied by 6 is 48. Write down the 8 and carry over the 4.

8 multiplied by 5 is 40. Add the carried over 4 to get 44. Write down the 4 and carry over the 4.

8 multiplied by 4 is 32. Add the carried over 4 to get 36. Write down the 6 and carry over the 3.

Step 4: Multiply the thousands digit of 867 (0) by each digit of 2,456:

Since 0 multiplied by any number is 0, we don't need to perform any calculations here.

Step 5: Add up the results from each column:

Add the numbers in the ones column: 2 + 9 + 1 + 0 = 12. Write down the 2 and carry over the 1.

Add the numbers in the tens column: 6 + 3 + 7 + 1 = 17. Write down the 7 and carry over the 1.

Add the numbers in the hundreds column: 8 + 4 + 6 + 1 = 19. Write down the 9 and carry over the 1.

Add the numbers in the thousands column: 0 (since 0 multiplied by any number is 0).

The final product is 19,720.

So, the products of each multiplying through by each place value in 867 are:

- The product of multiplying by the ones digit is 2.

- The product of multiplying by the tens digit is 7.

- The product of multiplying by the hundreds digit is 9.

- The product is 19,720.