Question

The decimal expansion of 23/2^5 ×5^2 Will terminate after how many places of decimal

Answer 1

Answer:

52 decimal expansion places of decimal

Answer 2

The decimal expansion is 0.02875

Step-by-step explanation:

To find : The decimal expansion of  $\dfrac{23}{2^5 \times 5^2}$

As we know that the denominator is of the form $2^m\times 5^n$ therefore it is terminating.

Now

For making the denominator as the power of 10's we will

multiplying the numerator and denominator by 5³

we get

$\dfrac{23}{2^5 \times 5^2 } \times \dfrac{5^3}{5^3} = \dfrac{23\times 125}{2^5\times5^5} = \dfrac{2875}{10^5} = 0.02875$

Therefore the decimal expansion is 0.02875

#Learn more

Write the decimal expansion of the following 17/8

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