Given:
The four values are \(50.111..., -\dfrac{50}{2},-50.1,\sqrt{50}\).
To find:
The number that does not belong with the other three.
Solution:
Rational number: If a number can be defined in the form of \(\dfrac{p}{q}\), where \(p,q\) are integers and \(q
eq 0\), then it is called a rational number.
For example: \(3, -0.5,\dfrac{1}{5}\) etc.
Irrational number: If a number cannot be defined in the form of \(\dfrac{p}{q}\), where \(p,q\) are integers and \(q
eq 0\), then it is called an irrational number.
For example: \(\sqrt{7}, -\sqrt{2}\) etc.
We know that the numbers with recurring (repeating) decimals are rational numbers. So, 50.1 repeating 1 is a rational number.
Clearly, \(-\dfrac{50}{2},-50.1\) are also rational numbers.
\(\sqrt{50}=\dfrac{2\times 25}\)
\(\sqrt{50}=5\dfrac{2}\)
We know that \(\sqrt{2}\) is an irrational number, so \(\sqrt{50}\) is also an irrational number.
The number \(\sqrt{50}\) does not belong with the other three because it is irrational number and other three are rational numbers.
Learn more:
https://brainly.com/question/13948223
