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

A.
All rational number decimal conversions end with zeros.

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

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

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

1 answer

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

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

This is because rational numbers (which can be expressed as the ratio of two integers) can either terminate (end with zeros) or eventually enter a repeating cycle in their decimal representation.