Which of the following rational numbers have terminating decimal expansion:

\frac{3}{8}

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\frac{229}{400}

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4 \frac{1}{5}

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\frac{2}{11}

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\frac{8}{125}

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Solution

The correct options are
A $\frac{3}{8}$
B $\frac{229}{400}$
C $4 \frac{1}{5}$
E $\frac{8}{125}$
(a) $\frac{3}{8} = 0.375$ Teminating

(b) $\frac{229}{400} = 0.5725$ Teminating

(c) $4 \frac{1}{5} = \frac{21}{5} = 4.2$ Teminating

(d) $\frac{2}{11} = 0. ¯ 18$ Non-teminating

(e) $\frac{8}{125} = 0.064$ Teminating

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(i)

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(ii)

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(iii)

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Q. Write the following rational number in decimal form and also state either it is terminating or non terminating, repeating decimal:

\frac{229}{400}

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Which of the following rational numbers have terminating decimal expansion:

The correct options are A 38 B 229400 C 415 E 8125(a)38=0.375 Teminating(b)229400=0.5725 Teminating(c)415=215=4.2 Teminating(d)211=0.¯18 Non-teminating(e)8125=0.064 Teminating