Question

How do you convert \[100cm\] to meters?

Answer 1

Hint: The given question is totally based upon conversion of units from one type to another type. And the given units i.e. \[cm\] and \[meters\] are the units of distance. So you should know about the relations between different units. As \[1cm\] is equal to \[\dfrac{1}{100}th\] of a meter. By using this relation you will surely get your answer.

Complete step-by-step answer:
There are several units to measure length like kilometer \[(km)\] , meter \[(m)\] , centimeter \[(cm)\] , feet, inches, yards, miles, and many more. These all units are accepted as reference standards for measurement of the length. The meter is the basic unit in the SI system while centimeter is the basic unit in the CGS system. But for this question we have to use only two of them and they are meter \[(m)\] and centimeter \[(cm)\] .
Now, before moving to the question we must know the basic relation between meter and centimeter
To convert from \[cm\] to \[m\] we should multiply or divide with \[{{10}^{2}}\] i.e. \[100\] .
Now it’s time to decide whether we have to divide by \[100\] or to multiply with \[100\] . When \[100cm\] combine, they form a \[1m\] , this simply means that \[m\] is a larger unit than the \[cm\] . So, to get the solution of this question we have to convert a smaller unit into a larger unit. For such kind of operation we always divide by the powers of \[10\] .
Now, According to the given question we have to convert \[100cm\] into meters.
So, now, we know that:
 \[1cm=\dfrac{1}{100}m\]
Now you have the value of \[1cm\] in terms of meter. From this relation you can convert from centimeter to meter.
As per the question we need to find how many meters are there in \[100cm\] .
 \[\begin{align}
  & 1cm=\dfrac{1}{100}m.............(1) \\
 & 100cm=? \\
\end{align}\]
Multiply by \[100\] on both the side of equation \[(1)\] , we get:
 \[100\times 1cm=100\times \dfrac{1}{100}m\]
By simplifying the above equation (cancelling the 100 from numerator and denominator present in the right hand side of the above equation \[)\] , we get:
 \[100cm=1m\]
Therefore, from the above expression we got our final answer which is \[1m\] .
Hence, \[100cm\] is always equal to \[1m\] .
So, the correct answer is “ \[1m\] ”.

Note: We can also convert meter to centimeter by just multiplying by \[100\] . If you want to convert \[3m\] into \[cm\] then simply multiply by \[100\] and you will get \[300cm\] as your answer. The centimeter is usually used to measure the length which is too big for millimeters but too small for meters.