To multiply 789 and 75 using the standard algorithm, we can break it down as follows:
-
Multiply 789 by 5 (the units digit of 75):
- \( 789 \times 5 = 3945 \)
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Multiply 789 by 70 (the tens digit of 75, which is 7 and represents 70):
- \( 789 \times 7 = 5523 \)
- Since this is actually 70, we include a zero: \( 55230 \)
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Add the two products together: \[ 3945
- 55230 \] \[ = 59175 \]
Thus, \( 789 \times 75 = 59175 \).
The correct response is 59,175.