Final answer:
Expressions A (733÷4), C (296÷5), and D (819÷2) will have a remainder since their numerators are not completely divisible by their denominators.
Step-by-step explanation:
To determine if a division expression has a remainder, we can seek to establish if the numerator is completely divisible by the denominator. A remainder is the amount that is left over after division when one number does not divide the other exactly.
- A) 733÷4 - Since the number 4 is not a factor of 733, this expression will have a remainder.
- B) 384÷3 - The number 3 is a factor of 384 (3 x 128 = 384), so this expression will not have a remainder.
- C) 296÷5 - The number 5 is not a factor of 296, so this expression will indeed have a remainder.
- D) 819÷2 - As 2 is not a factor of 819 (an odd number), this division will have a remainder.
Therefore, expressions A, C, and D will have remainders after the division.