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In the long division of 2 by 11 shown, the remainders keep repeating. What is the decimal form of the quotient?

Class 8Rational Numbers as DecimalsRational Numbers

A $0. \overline{18}$
B0.18
C $0. \overline{2}$
D $0. \overline{81}$

Step-by-Step Solution

20 ÷ 11 = 1 rem 9; 90 ÷ 11 = 8 rem 2; then 20 again. The digits 1, 8 repeat:

\frac{2}{11} = 0. \overline{18}

.

Answer: A)

0. \overline{18}

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