Question

What fraction of one metre is \[10\ cm\] ?
A. \[\dfrac{1}{10}\]
B. \[\dfrac{1}{100}\]
C. \[\dfrac{100}{100}\]
D. \[\dfrac{9}{100}\]

Answer 1

Hint:In this question, we need to find \[10\] cm is what fraction of one metre . First, let us know the concepts and definition of metre and centimetre. All we need to remember is the conversion from one unit to the other unit . We know that there are \[100\] centimetres in a meter that is \[1\] metre is equal to \[100\] centimetre. By using this, we can convert \[10\] cm into meters.

Complete step by step answer:
Here we need to find \[10\] cm is what fraction of one metre. First, let us know about meters and centimetres.The metre (m) is nothing but the base unit of length in the International System of Units (SI). In other words, it is a measurement of length. The centimetre (cm) is nothing but a unit of length in the metric system which is equal to ten millimetres. In other words, it is the unit of distance. The relationship between metre and centimetre is given by \[1\] metre is equal to \[100\] centimetre.That is \[1\ m = 100\ cm\]

On dividing both sides by \[100\] we get,
\[\dfrac{1}{100}\,cm = \dfrac{100}{100}\,m\]
We need to note that on dividing by the number \[100\] on both sides, units are also changed to meters. On simplifying we get,
\[\dfrac{1}{100}cm = 1\ m\]
Thus \[1\ m = \dfrac{1}{100}\ cm\]
Now we need to convert \[10\ cm\] to meters .
\[\Rightarrow \ 1\ m = \dfrac{1}{100} \times 10\ cm\]
On simplifying, we get,
\[1\ m = \dfrac{1}{10}\ cm\] which is in fraction form.
That is \[10\ cm\] is \[\dfrac{1}{10}\] of \[1\ m\].

Therefore, the correct answer is option A.

Note:In order to solve these types of questions , we need to know the conversion from one unit to the other and also must always remember the correct conversion scale in the conversion from one unit to the other and we should not get confused in the conversion scale with some other scale . Mathematically, kilometre (km), meter (m), and centimetre (cm) are the commonly used units of length and also any of these measurements can be easily converted to other measurements using certain formulas.