Question

The decimal expansion of 18/125 will terminate after how many places of decimal?

Answer 1

Answer: after 3 decimal places

Step-by-step explanation:

18/125

=18/5³×2^0

= 0.144

Since the denominator is in the form of 5ⁿ and 2ⁿ with highest power 3, so the decimal expansion of 8/125 will be 3.

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Answer 2

Answer:

The decimal expansion of 8/125 will terminate after 3 decimal places.

Step-by-step explanation:

$\dfrac{18}{125}\\\\\text{One of its equivalent fractions can be obtained by multiplying it by \dfrac{8}{8} .}\\\\\dfrac{18}{125} \times \dfrac{8}{8} = \dfrac{144}{1000} = \bold{0.144}$

Thus, the decimal expansion of 8/125 will terminate after 3 decimal places.