Question

When integers with the same units digit are divided by 5, the remainder...

A) is always 0
B) depends on the value of the units digit
C) is always 5
D) is always 1

Answer 1

Option (B), The remainder when integers with the same units digit are divided by 5 depends on the value of the units digit, not being constant; it can range from 0 to 4.

Step-by-step explanation:

When integers with the same units digit are divided by 5, the remainder depends on the value of the units digit. This is because the units digit determines how close the number is to the nearest multiple of 5. If the units digit is 0 or 5, the number is a multiple of 5, and the remainder will be 0.

For any other units digit, the remainder will be the units digit itself if less than 5 (1, 2, 3, or 4), or the units digit minus 5 if greater than 5 (6, 7, 8, or 9 giving a remainder of 1, 2, 3, or 4 respectively).