Question

When the division of two integers results in a decimal, the actual remainder must be...

A) less than 1.
B) greater than 1.
C) equal to the quotient.
D) a non-integer.

Answer 1

Option (A), When dividing two integers that result in a decimal, the actual remainder must be less than 1 because it represents what is left after dividing and cannot be larger than the divisor.

Step-by-step explanation:

When dividing two integers that result in a decimal, the actual remainder must be less than 1. This is because a remainder is what is left over after dividing the dividend by the divisor, and it cannot be larger than the divisor, which in the case of division resulting in a decimal is at least 1. Therefore, the answer to the question is A) less than 1.

For example, if we divide 7 by 3, the quotient is 2 with a remainder of 1, because 3 goes into 7 twice with 1 left over. If we were to express the quotient as a decimal we would get 2.333..., where the '.333...' represents the infinite decimal expansion of the remainder over the divisor (1/3).