Question

write the following rational numbes in their decimal form and also state which are terminating and which are non termijnating 8/125\

Answer 1

Answer:

$125 = 5 \times 5 \times 5 \\ 125 = 5 {}^{3 } \\ 125 = 2 {}^{0} \times 5 {}^{3}$

Hence,

$it \: is \: in \: the \: form \: of \: 2 {}^{m} \times 5 {}^{n}$

$\frac{8}{125} = terminating \: number$

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Note :

•If we can write the denominator in the form of 2^m×5^n , then the number is terminating, Otherwise, it's no non-terminating