Which of these nonterminating decimals can be converted into a rational number?

(1 point)
Responses

0.874387438743 . . .
0.874387438743 . . .

0.0000100020003 . . .
0.0000100020003 . . .

5.891420975 . . .
5.891420975 . . .

10.07401259 . . .

1 answer

A nonterminating decimal can be converted into a rational number if it eventually becomes a repeating decimal.

Out of the options given, the only nonterminating decimal that repeats is:

0.874387438743 . . .

Therefore, the answer is:

0.874387438743 . . .
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