UPSKILL MATH PLUS
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Learn moreIf a rational number can be expressed in the form of , where and , the rational number will have terminating decimal expansion. Otherwise, the rational number will have non-terminating and recurring decimal expansion.
Example:
Verify the following have terminating decimals or non-terminating and recurring decimal expansion.
1.
.
Thus, the given rational number follows the pattern .
Therefore the number have terminating decimal expansion.
2.
.
Thus, the given rational number follows the pattern .
Therefore the number have terminating decimal expansion.
3.
.
Thus, the given rational number does not follow the pattern .
Therefore the number does not have terminating decimal expansion. It has a non-terminating and recurring decimal expansion.
4.
.
.
Thus, the given rational number does not follow the pattern .
Therefore the number does not have terminating decimal expansion. But it has a non-terminating and recurring decimal expansion.