Question

After how many decimal expansion will 13/125 terminate

Answer 1

It will terminate after 3 places of decimals

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Answer 2

The decimal expansion will $\frac{13}{125}$ terminate after 3 decimal places.

Step-by-step explanation:

To find : After how many decimal expansion will $\frac{13}{125}$ terminate ?

Solution :

We can re-write the number as,

$\frac{13}{125}=\frac{13}{5 \times 5 \times 5}$

$\frac{13}{125}=\frac{13\times 2^3}{2^3\times 5^3}$

$\frac{13}{125}=\frac{13\times 8}{(2\times 5)^3}$

$\frac{13}{125}=\frac{104}{(10)^3}$

$\frac{13}{125}=0.104$

The decimal expansion will $\frac{13}{125}$ terminate after 3 decimal places.

#Learn more

Write a decimal expansion of3/13 and what kind of decimal expansion is this

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