Question

What is $480cm$ as $m$?

Answer 1

Hint: In this question we have been given a length which is in centimeters which we have to convert into meters. We will solve this question by first writing the relationship between centimeter and meter. We will then use the cross formula to get the value of $480cm$ as $m$.

Complete step by step answer:
We need to convert the length $480cm$ to $m$.
We know that a meter consists of $100$ centimeters.
Mathematically, we can write it as:
$\Rightarrow 100cm=1m$
Now we have been given the length $480cm$ which we have to convert to $m$.
Consider the length in meters to be $x$ therefore, we can write:
$\Rightarrow 480cm=x\text{ }m$
Now since we have the same units, we can use the cross formula and write it as:
$\Rightarrow \dfrac{100}{480}=\dfrac{1}{x}$
On transferring the term $480$ from the left-hand side to the right-hand side and $x$ from the right-hand side to the left-hand side, we get:
$\Rightarrow x\times 100=480\times 1$
On transferring the term $100$ from the left-hand side to the right-hand side, we get:
$\Rightarrow x=\dfrac{480}{100}$
On simplifying the terms, we get:
$\Rightarrow x=4.8$, which is the required length converted to meters.
Therefore, we can write:
$\Rightarrow 480cm=4.8m$, which is the required solution.

Note: During cross multiplication is to be remembered that the numerator of the left-hand side has to be multiplied with the denominator of the right-hand side, and the denominator of the right-hand side has to be multiplied with the numerator of the left-hand side. The general cross formula is used when we know the relation of two things and we have to find the corresponding value of another thing.