Question

What is 0.25kilometers expressed in centimeters?

Answer 1

Hint: We will first convert the value in kilometers to meters. Then we will convert the value in meters to centimeters. We know that one kilometer is $1000$ meters and one meter is $100$ centimeters.

Complete step-by-step solution:
When we are asked to convert a value in kilometers to centimeters, we will first convert the value to meters. Then, we will convert the value to centimeters. So, first we should know how we can convert a value from kilometers to meters.
Now, we know that one kilometer is equal to $1000$ meters. That can be written as $1km=1000m$
So, to convert a value in kilometers to a value in meters, we need to multiply the value with $1000.$
So, if we need to convert the given value to meters, we need to multiply it with $1000.$
So, we can convert it as $0.25km=0.25\times 1000=250m.$
Now that we have obtained the value in meters, we are going to convert it to centimeters. In order to convert a value in meters to a value in centimeters, we need to know that one meter is equal to $100$ centimeters. We can write it as $1m=100cm.$
So, we need to multiply the value in meters with $100$ to convert it to centimeters.
When we multiply the obtained value with $100,$ we will get $250\times 100=25000.$ So, we will have $250m=25000cm.$
Therefore, we get $0.25km=25000cm.$
As we can see, we have multiplied the given value with $1000$ and then $100.$
So, we can conclude that a value given in kilometers can be converted to meters by multiplying it with $100000.$
Hence, we have $0.25km=25000cm.$

Note: From what we have seen, we can deduce that we can convert the values in centimeters to kilometers by reversing the process we have done here. But here, we will use division instead of multiplication. That is, we will first divide the value in centimeters by $100$ and then by $1000.$