Question

answer choices: drag the answer choices to the correct category over here! 0.125 $\frac{pi}{2}$ $-\frac{3}{4}$ 0.666... $sqrt{36}$ -7 7 $sqrt{11}$ 0 whole numbers integers rational numbers irrational numbers

Explanation:

Step1: Recall number - type definitions

Whole numbers are non - negative integers (0, 1, 2, 3, …). Integers are whole numbers and their negatives (…, - 2, - 1, 0, 1, 2, …). Rational numbers can be written as a fraction $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b
eq0$. Irrational numbers cannot be written as a fraction.

Step2: Analyze each number

• For $0.125=\frac{1}{8}$, it is a rational number.
• $\frac{\pi}{2}$ is an irrational number since $\pi$ is irrational.
• $-\frac{3}{4}$ is a rational number.
• $0.666\cdots=\frac{2}{3}$ is a rational number.
• $\sqrt{36} = 6$, so it is a whole number, an integer, and a rational number.
• $-7$ is an integer and a rational number.
• $7$ is a whole number, an integer, and a rational number.
• $\sqrt{11}$ is an irrational number.
• $0$ is a whole number, an integer, and a rational number.

Answer:

Whole Numbers: $\sqrt{36}$, $7$, $0$
Integers: $\sqrt{36}$, $-7$, $7$, $0$
Rational Numbers: $0.125$, $-\frac{3}{4}$, $0.666\cdots$, $\sqrt{36}$, $-7$, $7$, $0$
Irrational Numbers: $\frac{\pi}{2}$, $\sqrt{11}$