Question

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

Answer 1

50.1 repeateding because that is the only positive number

Answer 2

Answer:

The number that does not belong with the other three is √50.

Step-by-step explanation:

Consider the provided numbers.

Rational number: A number   is said to be rational, if it is in the form   of p/q. Where p and q are integer and   denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.

Irrational   number: A number is irrational if it cannot   be expressed be expressed by dividing two   integers. The decimal expansion of   Irrational numbers are neither terminate nor   periodic.

Now consider the number.

50.1 repeating 1 is a rational number as the decimal expansion is periodic.

Negative 50 over 2 can be written as: -50/2

-50/2 is a rational number as it is in the form of p/q.

Negative 50.1 can be written as: -501/10

Thus, -501/10 is a rational number as it is in the form of p/q.

√50 = 7.071067...

The number √50 is not a rational number as the decimal expansion of   number is neither terminate nor   periodic.

Hence, the number √50 is an irrational number.

The number that does not belong with the other three is √50.