To multiply 789 by 75 using the standard algorithm, follow these steps:
- Write the numbers vertically, aligning them to the right:
789
× 75
- Start with the digit in the ones place of 75 (which is 5):
789
× 75
_______
3945 (this is 789 × 5)
- Now multiply by the digit in the tens place of 75 (which is 7). Since this represents 70, we will place a zero in the ones place:
789
× 75
_______
3945 (this is for 5)
+ 5523 (this is 789 × 7; note the position)
- Add the two products together:
3945
+ 55230
_______
59175
The product of 789 and 75 is 59,175.
So the correct response is: 59,175.