Multiply 789 and 75 using the standard algorithm. What is the product? (1 point)
9,468
58,175
59,175
56,975
The product of 789 and 75 using the standard algorithm is 59,175.
To multiply 789 and 75 using the standard algorithm, follow these steps:
Step 1: Write the numbers vertically, aligning the rightmost digits:
789
x 75
_______
Step 2: Start by multiplying the digit in the ones place of the bottom number (5) with each digit in the top number. Write each product below the line, starting from the rightmost column:
789
x 75
_______
3945
Step 3: Multiply the digit in the tens place of the bottom number (7) by each digit in the top number. Write each product below the line, shifted one place to the left from the previous step:
789
x 75
_______
3945
5523
Step 4: Multiply the digit in the hundreds place of the bottom number (0) by each digit in the top number. Write each product below the line, shifted two places to the left from the previous step:
789
x 75
_______
3945
5523
+ 0
Step 5: Add up the products from each column:
789
x 75
_______
3945
+ 5523
+ 0000
_________
5925
The product of 789 and 75 using the standard algorithm is 5,925. Therefore, the correct answer is option D: 56,975.