Final answer:
The correct expression that shows the division problem 564 divided by 5 equals 112 with a remainder of 4 is (112×5)+4 = 564.
Step-by-step explanation:
The student is asking which expression shows that the division problem 564 divided by 5, equals 112 with a remainder of 4, is correct. Looking at the options, we need to find an expression that accounts for both the quotient and the remainder. The correct expression for this division problem is option C, which can be written mathematically as:
(112×5)+4 = 564
This expression means that you multiply the quotient, 112, by the divisor, 5, and then add the remainder, 4, to get back to the original number, 564. None of the other options account for both the quotient and remainder correctly when reconstructing the original number from the result of the division.