Question
Look at several examples of rational numbers in the form , where and are integers with no common factors other than and having terminating decimal representaions (expansions). Can you guess what property must satisfy?
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Text solutionVerified
The property that must satisfy in order that the rational numbers in the
from , where and are integers with no
common factor other than , have maintaining decimal representation is
prime factorization of has only powers of or power of or both .
i.e , where or
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Question Text | Look at several examples of rational numbers in the form , where and are integers with no common factors other than and having terminating decimal representaions (expansions). Can you guess what property must satisfy? |
Answer Type | Text solution:1 |
Upvotes | 150 |