Question

write whether the rational numbers 51 / 1500 will have a terminating expansion or non terminating repeating lecimal expansion.​

Answer 1

Answer:

$\frac{51}{1500} = \frac{17}{500} = 0.34$

It is Terminating Exapnsion.

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Answer 2

51/1500

Simplifying = 17/500

The denominator number of any fraction which has only 2 and 5 in its factors is called a terminating fraction.

Factors of 500 = 2×2×5×5

Therefore,

17/500 or 51/1500 is a terminating fraction.

17 /500 = 0.034

0.034 has a terminating decimal expansion.

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