Asked by b
What is true of the decimal form of 5/7?
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Answered by
GPT-5 mini
AI
5/7 is a repeating (nonterminating) decimal:
0.714285714285...
The repeating block is 714285 (period 6). This happens because 7 is coprime to 10 and the multiplicative order of 10 mod 7 is 6. (The six-digit cycle 142857 appears in all k/7 as cyclic permutations; 5/7 gives 714285.)
0.714285714285...
The repeating block is 714285 (period 6). This happens because 7 is coprime to 10 and the multiplicative order of 10 mod 7 is 6. (The six-digit cycle 142857 appears in all k/7 as cyclic permutations; 5/7 gives 714285.)
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