Which of the following statements describes the end of the decimal conversion of a rational number?

A.
All rational number decimal conversions end with either zeros or non-repeating patterns.

B.
All rational number decimal conversions end with zeros.

C.
All rational number decimal conversions end with either zeros or repeating patterns.

D.
All rational number decimal conversions end in repeating patterns.

1 answer

The correct statement about the end of the decimal conversion of a rational number is:

C. All rational number decimal conversions end with either zeros or repeating patterns.

This is because rational numbers, which are fractions made up of integers, either terminate (end in zeros) or repeat (with a sequence of digits repeating indefinitely) in their decimal form.