Question

Which is greater: 0.7 or 0.5?

Answer 1

Hint:
Here, the given values to be compared are 0.7 and 0.5.
Firstly, we will write the given values in the form of ${\displaystyle \frac{p}{q}}$.
Now that we have the values in ${\displaystyle \frac{p}{q}}$ form, we will compare the values and see which one of the values is greater than the other remaining value.
Thus, we will get the required answer.

Complete step by step solution:
The given values are 0.7 and 0.5.
Now, we will write the given decimal values in the rational form of ${\displaystyle \frac{p}{q}}$.
Therefore, 0.7 can be written as ${\displaystyle \frac{7}{10}}$ and 0.5 can be written as ${\displaystyle \frac{5}{10}}$.
Thus, we have the values $0.7={\displaystyle \frac{7}{10}}$ and $0.5={\displaystyle \frac{5}{10}}$.
Now, we will compare the numerators of the numbers as their denominators have the same value i.e. 10.
Here, we can see that, the numerator of ${\displaystyle \frac{7}{10}}$ is greater than the numerator of ${\displaystyle \frac{5}{10}}$, i.e. 7 is greater than 5.
So, it is clear that the value of ${\displaystyle \frac{7}{10}}$ is greater than the value of ${\displaystyle \frac{5}{10}}$ .

Hence, we come to a conclusion that 0.7 is greater than 0.5.

Note:
The alternate approach to solve the given question can be done by putting the given values on the number line and checking which one of the given numbers lies to the rightest part of the number line.
To do so, convert the numbers in ${\displaystyle \frac{p}{q}}$ form i.e. $0.7={\displaystyle \frac{7}{10}}$ and $0.5={\displaystyle \frac{5}{10}}$ .
Now, the denominators are the same, so we will put the numerators on the number line and check the bigger value.
Thus, we will get the required answer.