Question

a1: super sets
real numbers
rational numbers
irrational numbers
integers
whole numbers
natural numbers

1. which of the following numbers is an integer?

a. $-6$
b. $sqrt{32}$
c. $0.25$
d. $4\frac{1}{5}$

Explanation:

Step1: Define integers

Integers are whole numbers (positive, negative, zero) with no fractional/decimal part.

Step2: Analyze Option A

$-6$ is a negative whole number, fits integer definition.

Step3: Analyze Option B

$\sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2} \approx 5.656$, non-integer irrational number.

Step4: Analyze Option C

$0.25 = \frac{1}{4}$, a fractional decimal, non-integer.

Step5: Analyze Option D

$4\frac{1}{5} = \frac{21}{5} = 4.2$, a mixed fraction, non-integer.

Answer:

A. $-6$