Question

Is \[0.5\] greater than or less than \[\dfrac{6}{10}\] ?

Answer 1

Hint: In this question, we need to solve the given number to get the number in decimal form and then need to compare the two numbers which are in the decimal form to find which is greater one. The symbol used for greater than is \[>\] and less than is \[<\] . Mathematically, equality and inequality symbols are used to compare the two given numbers. Decimal numbers are nothing but the numbers are in fraction which are written in the special form.

Complete step by step solution:
Given two numbers, \[0.5\] and \[\dfrac{6}{10}\] .
First we need to convert the fraction term \[\dfrac{6}{10}\] into decimal.
\[\dfrac{6}{10} = 0.6\]
Now we need to compare \[0.5\] and \[0.6\] ,
By comparing,
We get,
\[0.5\] is lesser than \[0.6\]
\[\Rightarrow \ 0.5 < 0.6\]
And also we can tell that \[0.6\] is greater than \[0.5\] .
\[\Rightarrow \ 0.6 > 0.5\]
Thus \[0.5\] is less than \[\dfrac{6}{10}\]
\[0.5\] is less than \[\dfrac{6}{10}\]

Note:
Mathematically, while comparing two or more numbers symbols play a major role. The two symbols which are used while comparing these numbers are equality and inequality symbols. Symbols such as Less than symbol , greater than symbol, less than or equal to, greater than or equal to symbol belong to inequality symbols. When numbers or values are equal, we use an equality symbol. A simple example for decimal numbers is that we can write \[0.5\] instead of writing \[\dfrac{1}{2}\] . We need to know that \[0.5\] is the same as \[\dfrac{5}{10}\] .