Question

How do you convert \[1000\] cm to meters?

Answer 1

Hint: Problems like these are very easy to solve when we know the underlying concept or the formula. There are different units that we use in our day to day problem solving life. Some of them are the FPS system, CGS system, SI system and many more. The most common of them all, which is more used than the rest of the others is the SI system. It is known as the Standard International System. However we can easily convert from one particular system to another, by multiplying any one of them by some suitable multiplying factor. In the SI system, we must know that the units of length are defined as kilometre, hectometre, decametre, metre, decimetre, centimetre and millimetre. In each of the transitions from left to right, the multiplying factor for the conversion is \[10\] .

Complete step by step solution:
Now we start off with the solution to our given problem by writing it as, we know that in each of the transitions from left to right in kilometre, hectometre, decametre, metre, decimetre, centimetre and millimetre, the multiplying factor for the conversion is \[10\] . Thus to convert from metres to centimetres, the conversion factor is \[10\times 10=100\] .
Now, we can say that the converse is also true, i.e. when we go from right to left the multiplying factor for conversion is \[\dfrac{1}{10}\] . Thus to convert from centimetres to metres, the multiplying factor is \[\dfrac{1}{10}\times \dfrac{1}{10}=\dfrac{1}{100}\]
Hence to convert \[1000\] cm to meters, we multiply it with \[\dfrac{1}{100}\] . Thus the required answer in metres is,
\[1000\times \dfrac{1}{100}=10\] Metres.

Note: For these types of sums, we first of need to know which system we are using. If we are using any other system than the S.I. System, then first we need to convert our problem to the SI system. After that we need to remember the series of length in the SI system or else we might forget the multiplying factor. After we have found out the multiplying factor, we need to multiply it with the given number to get the desired answer.