Question

Which of the following numbers is rational?

-9

0
all of the above

Answer 1

think what does ratinal mean

Answer 2

Natural Numbers: \(\tiny \\[0.5em]\)
\(\color{#000000 }{ \displaystyle 1,~~2,~~3,~~4,~~5,~~6,~~~~{\bf ...~}{\rm so~on~forever} }\)


Whole Numbers: \(\tiny \\[0.5em]\)
\(\color{#000000 }{ \displaystyle 0,~~1,~~2,~~3,~~4,~~5,~~6,~~~~{\bf ...~}{\rm so~on~forever} }\)
(You can see that the whole numbers conatin "0", but the rest of them are the same.)

Integers \(\tiny \\[0.5em]\)
\(\color{#000000 }{ \displaystyle {\rm \longleftarrow}~{\bf .....~}-3,~~-2,~~-1,~~~~0,~~~~1,~~~~2,~~~~3,~{\bf .....~}{\rm \longrightarrow} }\)
(Extends both ways. So -1023 or 600 (for instance are also integers).

\(\color{#0fd0f0 }{ \displaystyle \bf (See~~that~~each~~set~~adds~~on~~more~~to~~previous?) }\)

Answer 3

And,


Rational Numbers: \(\tiny \\[0.5em]\)
are numbers that can be recorded as a ratio of p/q, where p and q are both integers.

Answer 4

For example,

9=9/1 =integer/integer
0.4/0.99=40/99 =integer/integer

Answer 5

Also,

-5.2 = -52/10
= integer/integer

Answer 6

So those numbers are rationals