Question

How do you write the numbers in order from least to greatest: \[0.44,\dfrac{3}{8},0.5,\dfrac{2}{5}\]?

Answer 1

Hint: In this question we will simplify every single term into a decimal format and then arrange them into the order from least to greatest. Finally we get the required answer.

Complete step-by-step solution:
We have the given terms as:
\[0.44,\dfrac{3}{8},0.5,\dfrac{2}{5}\]
Now since the first term is $0.44$ which is in the form of a decimal number, it is in the simplified format therefore we don’t have to simplify it anymore.
Also, the number $0.5$ is in the decimal format, we don’t have to simplify the number anymore.
Now consider the term \[\dfrac{3}{8}\]:
It can be written in the fraction format as:
$ \Rightarrow \dfrac{3}{8}$
Now on simplifying the fraction we get:
$ \Rightarrow \dfrac{3}{8} = 0.375$, which is the decimal value of the fraction given.
Now consider the term \[\dfrac{2}{5}\]:
It can be written in the fraction format as:
$ \Rightarrow \dfrac{2}{5}$
Now on simplifying the fraction we get:
$ \Rightarrow \dfrac{2}{5} = 0.4$, which is the decimal value of the fraction given.
Now the original terms can be written only in the decimal format as:
$ \Rightarrow 0.44,0.375,0.5,0.4$
Now we have to arrange the numbers in the order from least to great therefore we can arrange them, and write is as:
$ \Rightarrow 0.375 < 0.4 < 0.44 < 0.5$
Now since we have all the numbers in the order from least to greatest, we will re-substitute the original values, on substituting we get:

$\dfrac{3}{8} < \dfrac{2}{5} < 0.44 < 0.5$, which is the final answer.

Note: In this question we have arranged the numbers into the ascending order which means that the numbers are arranged from the smallest one to the greatest one, the descending order is the opposite of it which arranges the number from the greatest to the least one.