Question

What is \[480\] \[cm\] as \[m\]?

Answer 1

Hint: We are given a question which is based on the unit's conversion. We are given 480 centimetres. And we have to convert 480 cm to the meter equivalent. We will proceed by first finding the conversion factor from centimetres to meters. We know that, \[1m=100cm\] so the value of one centimetre will be, \[1cm=\dfrac{1}{100}m\]. So, we will be multiplying the given number by the conversion factor, \[\dfrac{1}{100}\] and solve it further until we get an answer. Hence, we will have the required answer.

Complete step by step solution:
According to the given question, we are given a number with a specific unit and we are asked to convert it to another unit.
The given number and the unit along is,
480 \[cm\]--(1)
We have to convert the above value to its equivalent in meters.
Before proceeding to carry out the conversion, we have to find the conversion factor from centimetre to meter. We will be making use of the commonly taken units and associate it with our required unit.
We know that,
\[1km=1000m\]
\[1m=100cm\]
\[1cm=10mm\]
So, we can see that one meter is equivalent to 100 centimetre. Using the same expression, we can write for one centimetre as well.
We can now write \[1cm=\dfrac{1}{100}m\]----(2)
We have the conversion factor now, we will now multiply the given number with this conversion factor and solve further to find the value in the required unit.
We have,
\[480cm\times \dfrac{1m}{100cm}\]----(3)
We will now solve the equation (3) further and we will get it as,
\[\Rightarrow 4.80m\]

Therefore, \[480cm=4.80m\]

Note: The conversion factor used should be correct or else the answer will go wrong. Also, while going from a larger quantity like kilometre to a smaller quantity like metre, we multiply by that many powers of 10 and if we go reverse, that is, from a smaller quantity to a larger quantity, we divide by that many powers of 10.