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What will be the value in square centimetres if the same value is given as $100m{{m}^{2}}$?
$\begin{align}
  & A.100 \\
 & B.10 \\
 & C.1 \\
 & D.0.1 \\
\end{align}$

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Last updated date: 20th Jun 2024
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Answer
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Hint: First of all let us find out the value of the millimetre and centimetre in metre. One millimetre will be equivalent to the${{10}^{-3}}m$. One centimetre will be equivalent to ${{10}^{-2}}m$.After this square this equation and convert it in terms of centimetre. This will help you in answering this question.

Complete step by step answer:
first of all let us look at the conversion of metre in to millimetre
One millimetre will be equivalent to the${{10}^{-3}}m$. This can be written as,
$1mm={{10}^{-3}}m$
Now let us look at the conversion of centimetre into metre. One centimetre will be equivalent to ${{10}^{-2}}m$. That is we can write that,
$1mm={{10}^{-2}}m$
This millimetre can be now converted into centimetre. This can be done as,
$1mm={{10}^{-1}}cm$
Now let us look at the square of millimetre converted into square of centimetre. This can be done by squaring the last obtained equation. This can be written as,
${{\left( 1mm \right)}^{2}}={{\left( {{10}^{-1}}cm \right)}^{2}}$
That is we can write that,
$1m{{m}^{2}}=\left( {{10}^{-2}}c{{m}^{2}} \right)$
Rearranging this equation in terms of centimetre can be written as,
$1c{{m}^{2}}=100m{{m}^{2}}$

So, the correct answer is “Option C”.

Note: unit conversion is a process or a method defined as the conversion between various units of measurement for the identical measurements, generally through the multiplicative conversion factors. The process of conversion is dependent on the specific conditions and the purpose. This may be done by regulation, technical specifications, contract or any other published standards. Some conversions from one system of units to another are found to be identical, without the increase or decrease in the accuracy of the first measurement. This is often known as soft conversion. This will not include varying the physical configuration of the things being measured.