The decimal expansion of 189 125 will terminate after

Asked by admin @ in Math viewed by 484 People

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

Answered by admin @


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.

#Learn more

In decimal expansion of 9/125 will terminate after​

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