Question

Which one is greater \[5000\;cm\] or \[5m\]\[?\]

Answer 1

Hint: In the given question we can see it is asked to compare between two values of length having different units. Length is a measure of distance. It is commonly understood to mean the most extended dimension of a fixed object. Length is a measure of one dimension.
There are many units for measuring length. The units are:-
Kilometer \[(km)\]
Hectometer \[(hm)\]
Decameter \[(dam)\]
Meter \[(m)\]
Decimeter \[(dm)\]
Centimeter \[(cm)\]
Millimeter \[(mm)\]
Among them, the S.I. (International system of units) unit to measure length is meter.
We know \[1\]meter=\[100\]centimeter
The abbreviated form of meter is \[m\] and the abbreviated form of centimeter is \[\;cm\] .
To denote the greater quantity we have to write the greater quantity, then the greater than sign \[\left( > \right)\]and then the lesser quantity.

Complete step-by-step answer:
Given quantities are \[5000\;cm\] and \[5m\] .
We have to compare between them to show which one is greater and which one is smaller.
So, we know that
 \[1\] meter \[ = \] \[100\] centimeter
 \[ \Rightarrow 1m = 100\;cm\]
( Meter can be written as \[m\] and centimeter can be written as \[\;cm\] )
So now we have to either convert \[5000\;cm\] into \[m\] or \[5\;m\] into \[\;cm\] .
Converting \[5m\] into \[\;cm\] , we get,
As, \[1m = 100\;cm\]
So, \[5\;m = 5 \times 100 = 500\;cm\]
Hence it is clear that \[5000\;cm\] is greater than \[500\;cm\] .
So \[5000\;cm\] is greater than \[5\;m\] .
\[\therefore 5000cm > 5m\]
So, the correct answer is “ 5000 cm > 5 m”.

Note: One should have a clear concept about units and their conversion. To convert a higher unit to a lower unit i.e. from meter to centimeter one must multiply the higher unit by \[100\] and to convert the lower unit to higher unit i.e. from centimeter to meter, one must divide the lower unit by \[100\] .