Question

Which one is greater \[5000\text{ }cm\] or \[5~meters\]?

Answer 1

Hint: A metric system is a measurement system that replaced the decimalized system based on the meter that was introduced in France \[1790s\]. The history of these systems culminated in the definition of the International System of Units, which was overseen by an international standards body.

Complete answer:
Within the metric system, converting from one unit to another usually entails moving a decimal point. If you remember what the prefixes mean, you can convert within the metric system relatively easily by multiplying or dividing the number by the prefix value.
In the International System of Units, the meter is the basic unit of length (SI). \[m\] is the SI unit symbol. The SI unit symbol is \[m\]. The meter is currently defined as the length of the path taken by light in a vacuum in \[\dfrac{1}{299792458}\] a second.
The A centimeter is a metric length unit equal to one-hundredth of a meter, with centi being the SI prefix for a factor of \[\dfrac{1}{100}\]. In the now-deprecated centimeter–gram–second unit system, the centimeter was the base unit of length.
Each meter has \[100\] centimeters and therefore 5 meters are equal to \[5\times 100=500~cm\]. Hence \[5000~cm~\] is a lot greater than \[5~meters\].
We first convert them to the same units.
1 meter is equal to 100 centimeters.
So, we have:
\[5\]\[\cdot \]\[\dfrac{100~cm}{{}}\]\[=\]\[500~cm\].

Now, we see that \[5000\] is a much bigger number than \[500~cm\], and so \[5000\] centimeters are greater than \[5\] meters.

Note: Although the metric system has evolved and changed since its inception, its fundamental concepts have remained unchanged. It was intended for international use and consisted of a basic set of measurement units, now known as base units. Derived units were derived from base units through logical rather than empirical relationships, and multiples and submultiples of both bases and derived units were decimal-based and identified by a standard set of prefixes.