Mathematics · Number Systems
A rational number x = pq (in its lowest terms) has a terminating decimal expansion if and only if:
- 1The prime factorization of q is of the form 2n · 5m, where n and m are integers
- 2The prime factorization of q is of the form 2n · 5m, where n and m are non-negative integers✓
- 3The prime factorization of q is not of the form 2n · 5m, where n and m are integers
- 4The prime factorization of q is not of the form 2n · 5m, where n and m are non-negative integers
Correct answer
The prime factorization of q is of the form 2n · 5m, where n and m are non-negative integers
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