Answer
a. Natural Numbers: 1, 3
b. Whole Numbers: 0, 1, 3
c. Integers: -6, 0, 1, 3
d. Rational Numbers: -6, 0, 1, $1\frac{1}{2}$, 3, 9.62
e. Irrational Numbers: $\pi$
f. Real Numbers: -6, 0, 1, $1\frac{1}{2}$, 3, $\pi$, 9.62
Work Step by Step
Set given {-6, 0, 1, $1\frac{1}{2}$, 3, $\pi$, 9.62}
a. Natural Numbers {1, 2, 3, 4, 5, 6,...}
b. Whole Numbers {0, 1, 2, 3, 4, 5,...}
c. Integers {..., -3, -2, -1, 0, 1, 2, 3,...}
d. Rational Numbers - commonly referred to as fractions. Every integer is also a rational number since each integer can be written as a quotient of integers. i.e. $5=\frac{5}{1}$
e. Irrational Numbers - can be written as a decimal number, but the irrational number will neither terminate nor repeat. i.e. $\pi$
f. Real Numbers - all numbers (rational and irrational alike) that correspond to points on a number line.
