Physics, asked by sahid2645, 1 year ago

Write the decimal expansion of 23 by 2 power 3 into 5 power 2

Answers

Answered by sahil43574
7

Answer:

can. not understand..

Answered by harendrachoubay
29

The decimal expansion of \dfrac{23}{2^3\times 5^{2} } is equal to 0.115.

Explanation:

We have,

\dfrac{23}{2^3\times 5^{2} }

To find, the decimal expansion of \dfrac{23}{2^3\times 5^{2} } = ?

\dfrac{23}{2^3\times 5^{2} }

= \dfrac{23}{8\times 25 }

=\dfrac{23}{200}

Multiplying numerator and denominator by 5, we get

=\dfrac{23\times 5}{200\times 5}

=\dfrac{115}{1000}

= 0.115

∴ The decimal expansion of \dfrac{23}{2^3\times 5^{2} } = 0.115

Thus, the decimal expansion of \dfrac{23}{2^3\times 5^{2} } is equal to 0.115.

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