Question

#9 click the circle to select the type of each number. select all that apply. 15 points rational number integer whole number 4 -5 0 3.14 -5.5 5.5 500 1,800 -1/2 -8/8

Explanation:

Step1: Recall number - type definitions

Rational numbers are numbers that can be written as a fraction $\frac{a}{b}$ where $b
eq0$. Integers are whole numbers and their negatives. Whole numbers are non - negative integers starting from 0.

Step2: Analyze each number

• For 4: It can be written as $\frac{4}{1}$, so it is a rational number. It is an integer and a whole number.
• For - 5: It can be written as $\frac{-5}{1}$, so it is a rational number and an integer, but not a whole number (whole numbers are non - negative).
• For 0: It can be written as $\frac{0}{1}$, so it is a rational number, an integer, and a whole number.
• For 3.14: It can be written as $\frac{314}{100}$, so it is a rational number, but not an integer or a whole number.
• For - 5.5: It can be written as $\frac{-11}{2}$, so it is a rational number, but not an integer or a whole number.
• For 5.5: It can be written as $\frac{11}{2}$, so it is a rational number, but not an integer or a whole number.
• For 500: It can be written as $\frac{500}{1}$, so it is a rational number, an integer, and a whole number.
• For 1800: It can be written as $\frac{1800}{1}$, so it is a rational number, an integer, and a whole number.
• For $-\frac{1}{2}$: It is a rational number, but not an integer or a whole number.
• For $-\frac{8}{8}=-1$: It can be written as $\frac{-1}{1}$, so it is a rational number and an integer, but not a whole number.

Answer:

4: Rational Number, Integer, Whole Number

• 5: Rational Number, Integer

0: Rational Number, Integer, Whole Number
3.14: Rational Number

• 5.5: Rational Number

5.5: Rational Number
500: Rational Number, Integer, Whole Number
1800: Rational Number, Integer, Whole Number
$-\frac{1}{2}$: Rational Number
$-\frac{8}{8}$: Rational Number, Integer