Use the standard algorithm to find the product of 853 and 59. Record the product of multiplying by the ones digit, the product of multiplying by the tens digit, and the final product.(2 points)

Answer 1

To find the product of 853 and 59 using the standard algorithm, we will multiply 853 by each digit of 59 separately and then add the results.

1. Multiply by the ones digit (9): $$853\times 9=7677$$

2. Multiply by the tens digit (5) (remember to shift one position to the left because it's actually 50): $$853\times 5=4265\text{(Then shift left: 4265 becomes 42650)}$$

3. Add the two products together: $$7677+42650=50327$$

Thus, the products recorded are:

• Product of multiplying by the ones digit (9): 7677
• Product of multiplying by the tens digit (5): 42650
• Final product of multiplying 853 and 59: 50327