Identify the most specific set to which each of the following numbers belongs:(5 points) P

√ 144
0.121212...
0
√ 47
-9
irrational number
whole number
natural number
rational number
integer

5 answers

√ 144 - rational number, whole number, natural number, integer
0.121212... - rational number, decimal number
0 - rational number, decimal number, whole number, natural number, integer
√ 47 - irrational number
-9 - rational number, integer
one def per number
√144: rational number - because the square root of 144 is 12, which can be expressed as the ratio of two integers (12/1).

0.121212...: rational number - because this decimal can be expressed as the repeating fraction 12/99, which is a ratio of two integers.

0: rational number - because it can be expressed as the fraction 0/1, where 0 is an integer and 1 is a non-zero integer.

√47: irrational number - because the square root of 47 is a non-repeating, non-terminating decimal that cannot be expressed as a ratio of two integers.

-9: rational number - because it can be expressed as the fraction -9/1, where -9 is an integer and 1 is a non-zero integer.
a word can only be used once
√144: rational number - because the square root of 144 is 12, which can be expressed as the ratio of two integers (12/1).

0.121212...: irrational number - because this decimal is a non-repeating, non-terminating decimal that cannot be expressed as a ratio of two integers.

0: integer - because it is a whole number and can be expressed without any fractional or decimal part.

√47: irrational number - because the square root of 47 is a non-repeating, non-terminating decimal that cannot be expressed as a ratio of two integers.

-9: integer - because it is a whole number and can be expressed without any fractional or decimal part.