Question

without actually long division state wether 23/8 terminating decimal expansion or non terminating. decimal expansion​

Answer 1

it is terminating decimal

Answer 2

$\frac{23}{8}$ decimal expansion is non-terminating.

Step-by-step explanation:

Given : Expression $\frac{23}{8}$

To find : Whether expression is terminating decimal expansion or non terminating ?

Solution :

When the decimal denominator is in the form $2^n\times 5^m$

Writing the expression in factories form,

$\frac{23}{8}=\frac{23}{2^3}$

There is missing of $5^m$ term.

So, It is non-terminating.

Therefore, $\frac{23}{8}$ decimal expansion is non-terminating.

#Learn more

Terminating or non terminating

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