Identify the number that does not belong with the other three. explain your reasoning. 50.1 repeating 1, negative 50 over 2, negative 50.1, square root 50

Given:

The four values are .

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 , where are integers and , then it is called a rational number.

For example: etc.  

Irrational number: If a number cannot be defined in the form of , where are integers and , then it is called an irrational number.  

For example: etc.

We know that the numbers with recurring (repeating) decimals are rational numbers. So, 50.1 repeating 1 is a rational number.

Clearly, are also rational numbers.

We know that is an irrational number, so is also an irrational number.

The number does not belong with the other three because it is irrational number and other three are rational numbers.

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