Final answer:
The phrases that alert us that dividing some number x by some number y will result in an integer are: 'The quotient is a whole number,' 'The remainder is 0,' 'Division yields a non-fractional result,' and 'No decimals are involved.'
Step-by-step explanation:
The phrases that alert us that dividing some number x by some number y will result in an integer are:
A) "The quotient is a whole number."
B) "The remainder is 0."
C) "Division yields a non-fractional result."
D) "No decimals are involved."