Question

How do you convert \[2.392\] hectolitres to litres?

Answer 1

Hint: In order to find the solution of the given question that is to convert \[2.392\] hectolitres to litres apply the concept that the word “Hecto” in hectolitre means \[100\] units and each hectolitre represents \[100\] litres. Using this concept, convert the given number in hectolitres to litres.

Complete step by step solution:
According to the question, given amount in the question is as follows:
\[2.392\] hectolitres.
To convert the given amount into litres, apply the concept that the word “Hecto” in hectolitre means \[100\] units and each hectolitre represents \[100\] litres. In other words, we can say that:
\[\Rightarrow 1\] hectolitre \[=100\] litre.
Therefore, we can use this result in the given amount, we will have:
\[\Rightarrow 2.392\] hectolitres \[=100\times 2.392\] litres.
We can rewrite the above equation as follows:
\[\Rightarrow 2.392\] hectolitres \[={{10}^{2}}\times 2.392\] litres.
We know that when we multiply a decimal by a power of \[10\], we simply move the decimal place to the right as many places as there are \[0\]s in the power of \[10\].
Therefore, in the above equation there are \[2\] zeroes in the power of \[10\], hence we will move the decimal place to the right by \[2\] places in the term \[2.392\], then we will get the final answer as follows:
\[\Rightarrow 2.392\] hectolitres \[=239.2\] litres.

Therefore, \[2.392\] hectolitres are equal to \[239.2\] litres.

Note: Students make mistakes while multiplying a decimal by a power of \[10\], they move the decimal place to the left as many places as there are \[0\]s in the power of \[10\]. This is completely wrong and leads to the wrong answer. These are two different answers. It’s important to remember that when we multiply a decimal by a power of \[10\], we simply move the decimal place to the right as many places as there are \[0\]s in the power of \[10\] and when we divide a decimal by a power of \[10\], we simply move the decimal place to the left as many places as there are \[0\]s in the power of \[10\].