Question

jordan is helping organize a classroom math board. he needs to place different numbers into the correct categories: whole numbers, integers, and rational numbers. one of the numbers he finds is -4.5. question 1 which best describes the number -4.5? integer irrational number rational number whole number question 2 jordan also finds the number \\(\sqrt{25}\\). which category or categories does this number belong to?

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 are numbers that can be written as a fraction $\frac{a}{b}$ where $a$ and $b$ are integers and $b
eq0$. Irrational numbers cannot be written as a fraction.

Step2: Analyze - 4.5

The number - 4.5 can be written as $-\frac{9}{2}$, where $a=-9$ and $b = 2$ are integers and $b
eq0$. So it is a rational number. It is not an integer because integers are whole numbers and their negatives without a fractional part. It is not a whole number because whole numbers are non - negative. It is not an irrational number since it can be written as a fraction.

Step3: Analyze $\sqrt{25}$

We know that $\sqrt{25}=5$ (since $5\times5 = 25$). 5 is a non - negative integer, so it is a whole number. Since integers are whole numbers and their negatives, 5 is also an integer. And since 5 can be written as $\frac{5}{1}$, it is a rational number.

Answer:

Question 1: C. Rational number
Question 2: Whole number, Integer, Rational number