Can You Find Out Real Number System?

Explanation
-5 is a whole number. Whole numbers, or integers (even negative) are part of the Rational set of numbers

Explanation
Any number that can be represented in decimal form as a repeating decimal is a Rational Number

Explanation
Any number that can be represented by a decimal that terminates (just ends) is a Rational Number

Explanation
Any number that is represented by a non-terminating and non-repeating decimal is an Irrational Number

Explanation
√100 is equal to the integer 10. Integers are Rational Numbers

Explanation
The √45 represents a non-perfect square. Non-perfect squares produce non-terminating and non-repeating decimals, thus making them Irrational Numbers

Explanation
¾ produces a terminating decimal so ¾ is a Rational Number

Explanation
The given answer is "Rational." However, without any context or additional information, it is not possible to determine the exact reason behind this answer. It could be related to a mathematical concept, where a rational number is a number that can be expressed as a fraction or a ratio of two integers. Alternatively, it could be referring to a logical or reasonable explanation for something. Without further details, it is difficult to provide a specific explanation.

Explanation
The given number 0.6243987469501893... is irrational because it cannot be expressed as a fraction of two integers. Irrational numbers are numbers that cannot be written as a simple fraction or a ratio of two integers. The given number has a non-repeating and non-terminating decimal representation, indicating its irrationality.