List the numbers in each set that are (a) Natural numbers,...

List the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers.
$B=\left\{-\frac{5}{3}, 2.060606 \ldots\right.$ (the block 06 repeats) $\left., 1.25,0,1, \sqrt{5}\right\}$

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Key Concepts

Real Numbers

Real numbers comprise all the numbers on the number line, including both rational and irrational numbers. They represent all possible magnitudes along the continuum of the number line.

Irrational Numbers

Irrational numbers are real numbers that cannot be expressed as a simple fraction of two integers. They have non-terminating, non-repeating decimal expansions, distinguishing them from rational numbers.

Natural Numbers

Natural numbers are the counting numbers used in everyday counting, usually starting from 1 (or occasionally 0, depending on context), and are positive whole numbers that do not include fractions, decimals, or negative values.

Integers

Integers include all whole numbers, both positive and negative, as well as zero. They form a complete set of numbers that do not have fractional or decimal components.

Rational Numbers

Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. This set includes integers, finite decimals, and repeating decimals since they can all be written as fractions.

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