Question

chapter 1 & 2 review
question 34 of 34 (1 point) | question attempt: 1 of unlimited
place the numbers in the correct regions.
names of the sets
numbers
14
-28
-20
-9.53
0
rational numbers
integers
whole numbers

Explanation:

Step1: Recall number set definitions

• Whole numbers: Non - negative integers (0, 1, 2, 3,...).
• Integers: Whole numbers and their negatives (... - 3, - 2, - 1, 0, 1, 2, 3,...).
• Rational numbers: Numbers that can be expressed as a fraction $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b

eq0$ (includes integers, terminating decimals, repeating decimals).

Step2: Classify each number

• 14:
• Whole number (since $14\geq0$ and is an integer), so it goes in the intersection of Whole numbers and Integers (and thus in Rational numbers).
• - 28:
• Integer (negative of a whole number), so it goes in the part of Integers that is not Whole numbers (but still in Rational numbers).
• - 20:
• Integer (negative of a whole number), so it goes in the part of Integers that is not Whole numbers (but still in Rational numbers).
• - 9.53:
• Rational number (terminating decimal, can be written as $\frac{-953}{100}$), but not an integer (since it has a decimal part), so it goes in the part of Rational numbers that is not Integers.
• 0:
• Whole number (and integer), so it goes in the intersection of Whole numbers and Integers (and thus in Rational numbers).

Answer:

• Whole numbers (and Integers, Rational numbers): 14, 0
• Integers (but not Whole numbers, and Rational numbers): - 28, - 20
• Rational numbers (but not Integers): - 9.53