Question

what is sqrt{2} ? and 8/9 ?
*natural #
*whole #
*integer
*rational #
*irrational #
*real #

Answer 1

the square-root of 2 is irrational

Answer 2

And I think 8/9 is a rational number.
Also this is a pretty good math website,
http://www.purplemath.com/modules/numtypes.htm

Answer 3

Some definitions:
\[ \quad \textbf{Natural: } \text{the "counting" numbers} \\
\qquad \{1, 2, 3, ...\} \\
\quad \textbf{Whole: } \text{Natural numbers including 0} \\
\qquad \{0, 1, 2, 3, ...\} \\
\quad \textbf{Integers: } \text{The whole numbers and their opposites} \\
\qquad \{..., -2, -1, 0, 1, ...\} \\
\quad \textbf{Rationals: } \text{The set of all fractions of two integers} \\
\qquad \{\frac{p}{q}, p \text{ and } q \text{ are integers} \} \\
\quad \textbf{Irrationals: } \text{Basically not rational / cannot be expressed as fraction .} \\
\quad \textbf{Reals: } \text{The entire set of rationals and irrationals} \\
\]

Yeah, \(\sqrt{2}\) is irrational and real. \( \frac{8}{9} \) is rational and real.

Answer 4

"Whole" is not an accepted mathematical definition....