Question

How many meters are there in 1.25 Kilometers?
A.10.25 m
B.125 m
C.1250 m
D.12500 m

Answer 1

Hint:From the above question we need to convert Kilometers to meters. So we need to know the conversions of length. So, from the given question the number represents the decimal system. We must remember that 1000m=1Km.

Complete step-by-step answer:
Given, 1.25 Kilometers
Definition of Kilometer: A kilometer (km) is a decimal multiple of the meter, the international standard unit of length, approximately equivalent to 39.37 inches. A kilometer is now used officially for expressing distances between two places or points.
Now, $ 1.25 $ kilometers need to be converted to meters.
Definition of meters: A meter (m) is the base unit of length in the International System of Units (SI).
Let x= 1.25 Kilometers
To convert any value in kilometers to meters, just multiply the value in kilometers by the conversion factor $ 1000 $
We know that, $ 1 $ kilometer = $ 1000 $ meters
 $ \Rightarrow $ x= $ 1.25 $ kilometers = $ 1.25 \times 1000{\text{ meters}} = 1250 $ meters
Therefore, x= $ 1250 $ meters
That is $ 1.25 $ kilometers = $ 1250 $ meters.
Different Approach:
We can calculate a kilometer value to the corresponding value in meters, just multiply the quantity in kilometers by 1000 (the conversion factor). Here is the formula:
Value of meters= Value in Kilometer $ \times 1000 $
Here, Value in Kilometer= 1.25 kilometers
 $ \Rightarrow 1 + 0.25 = 1 + \dfrac{1}{4} = 1\dfrac{1}{4} $ Kilometers
Suppose you want to convert kilometers into meters. Using the conversion formula above, you will get:
Value in meters = $ 1\dfrac{1}{4} \times 1000 $ = $ \dfrac{{\left( {4 \times 1} \right) + 1}}{4} \times 1000 = \dfrac{5}{4} \times 1000 = 5 \times 250 = 1250 $ meters


Note: We can solve this question in a different manner that is, first by converting the decimal into fraction and then solving the question. Therefore $ 1.25 $ into fraction is\[{\text{1}}{\text{.25}} \times \dfrac{{100}}{{100}} = \dfrac{{125}}{{100}}\] and then after the conversion we can multiply it with $ 1000 $ . We can also convert further into centimeters by multiplying it with 10, since 1 meter=10 centimeters