Question

The decimal expansion of 189 by 125 will terminate after how many places of decimal

Answer 1

Answer:

After 3 d.p.

Step-by-step explanation:

Solution is as follows

Hope it will help you

Answer 2

After 3 decimal places the decimal will terminate.

Step-by-step explanation:

Given : The decimal expansion of 189 by 125 will terminate.

To find : After how many places of decimal ?

Solution :

To determine the decimal place we write the denominator in the form of $2^n\times 5^m$.

Factories the denominator,

$\frac{189}{125}=\frac{189}{5\times 5\times 5}$

Multiply and divide by $2^3$,

$\frac{189}{125}=\frac{189\times 2^3}{5^3\times 2^3}$

$\frac{189}{125}=\frac{189\times 8}{(5\times 2)^3}$

$\frac{189}{125}=\frac{1512}{10^3}$

$\frac{189}{125}=1.512$

Therefore, after 3 decimal places the decimal will terminate.

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