Question

How many kilometers are there in 100 meters?

Answer 1

The above question is based on the concept of unit conversions. The main approach towards solving this is by using the conversion unit from kilometers to meters and accordingly convert in such a way that we need to shift the coefficient of kilometers onto the meter side so that we get the result in terms of one kilometer.

Complete step by step solution:
A method for converting from unit to another is called a conversion unit also called dimension analysis. Converting the units sometimes better helps us in knowing and understanding the measure of things better than the current unit being converted rather than the unit before conversion.

For example, the height of a person if expressed in feet will be a bit difficult to imagine. But if the same height is being converted into centimeters it is easy to understand the height with this unit.

Now, we know the conversion unit from kilometers to meters.
$1km = 1000m$

The kilometer is a unit of length in the metric system equivalent to one thousand meters.

So, if we want to find one kilometer into 100 meters, we need to divide by 10 so that 1000 reduces to 100.

$\dfrac{{1000}}{{10}} = \dfrac{1}{{10}}$

Therefore,we get

$100m = \dfrac{1}{{10}}km$

So, we 0.1 kilometer for 100meters.

Note: An important thing to note is that we could also have solved in the following way 1000 meters makes 1km hence 1 meter can make $\dfrac{1}{{1000}}$km. So in 100m i.e. Multiplying by 100 we get $\dfrac{1}{{10}}$ km or 0.1 kilometer.