Use the standard algorithm to multiply 475×96 . Record the product of multiplying by the ones digit, the product of multiplying by the tens digit, and the final product.(2 points)

1 answer

To multiply 475 by 96 using the standard algorithm, follow these steps:

  1. Multiply by the ones digit (6):

    \[ 475 \times 6 = 2850 \]

  2. Multiply by the tens digit (9) (this represents 90, so we will add a zero to the result):

    \[ 475 \times 9 = 4275 \] Now, we add a zero, making it: \[ 4275 \text{ (with the added zero)} = 42750 \]

  3. Add the two products together:

    Now we add the two results together: \[ 2850 + 42750 = 45600 \]

Thus, the products are as follows:

  • The product of multiplying by the ones digit (6): 2850
  • The product of multiplying by the tens digit (9): 42750
  • The final product of \( 475 \times 96 \): 45600