Answer
a) B, C, D, F
b) A, B, C, D, F
c) D, F
d) A, B, C, D, F
e) E, F
f) D, F
Work Step by Step
a) 0 is not positive, so it is not a natural number. However, it is a whole number and an integer because there are no decimals. It is rational because it can be expressed as a fraction, and is a real number.
b) 34 is a natural number, so it is also a whole number, integer, rational number, and a real number.
c) $-\frac{9}{4}$ is not an integer, but it is rational and a real number.
d) $\sqrt 36$ simplifies to 6, so it is a natural number, and therefore a whole number, integer, rational number, and real number.
e) $\sqrt 13$ does not simplify to an integer, so it is irrational and a real number.
f) 2.16 is a terminating decimal, so it is rational and a real number.
