Question

Express the length of 5 cm in meter and kilometer.

Answer 1

Hint: Meter and kilometer are the units of length. If we want to convert a length from one unit to another unit, we have to multiply or divide it by some constant. To convert the length cm to meter, we divide the length in cm by 100. To convert a length given in cm to kilometer, we have to divide the length in cm by 100000.
Complete step-by-step answer:
Before proceeding with the question, we must know all the formulas that will be required to solve this question.
To convert a length $l$ given in cm to meter, we have to divide the length l in cm by 100 to convert in meter. Mathematically, we have,
$l$ (in cm) = $\dfrac{l}{100}$ (in meter) $..............\left( 1 \right)$
To convert a length l given in cm to kilometer, we have to divide the length l in cm by 100000 to convert in kilometer. Mathematically, we have,
$l$ (in cm) = $\dfrac{l}{100000}$ (in kilometer) $..............\left( 2 \right)$
In the question, we are given a length 5 cm which we are required to convert into meters and kilometers.
Using formula $\left( 1 \right)$, the length 5 cm in meter is equal to,
$\begin{align}
  & \dfrac{5}{100}m \\
 & \Rightarrow 0.05m \\
\end{align}$
Using formula $\left( 1 \right)$, the length 5 cm in kilometer is equal to,
$\begin{align}
  & \dfrac{5}{100000}km \\
 & \Rightarrow 0.00005km \\
\end{align}$
So, the length in meters is equal to 0.05 and the length in kilometers is equal to 0.00005.

Note: There is a possibility that one may commit a mistake while converting the length from cm to meter. It is a common mistake that one divides the length by 1000 instead of 100 to convert the length from cm to meter which can lead us to an incorrect answer.