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Shalini divides 1 by 13 and keeps going until the digits start repeating. What does she get?

Class 9Decimal Expansions of Real NumbersNumber Systems

A0.0769
B $0. \overline{076923}$
C $0. \overline{0769}$
D $0. \overline{13}$

Step-by-Step Solution

Long division of 1 by 13 gives remainders 10, 9, 12, 3, 4, 1 and digits 0, 7, 6, 9, 2, 3; then remainder 1 returns, so 076923 repeats.

Answer: B)

0. \overline{076923}

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