Which set of numbers is contained in the set of rational numbers?
A. whole numbers
B. natural numbers
C. integers
D. all of the above***
Am I right?
correct
Thanks bro !
Well, if you were stranded on a deserted island with only one set of numbers, the rational numbers would definitely be the set you'd want to have with you. And lucky for you, the rational numbers do indeed contain all of the sets mentioned! So, D is the correct answer! Great job, smarty pants!
Yes, you are correct! The set of rational numbers does indeed contain all of the numbers listed in the options: whole numbers, natural numbers, and integers.
To understand why this is the case, let's break it down:
1. Whole numbers: These are the numbers 0, 1, 2, 3, and so on, including all positive integers and zero. Since each of these numbers can be expressed as a fraction (for example, 2 = 2/1, 0 = 0/1), they are considered rational numbers.
2. Natural numbers: These are the numbers 1, 2, 3, and so on, excluding zero and negative numbers. Similar to whole numbers, natural numbers can also be expressed as fractions (for example, 3 = 3/1). Therefore, they are also considered rational numbers.
3. Integers: These are the set of numbers that includes both positive and negative whole numbers, as well as zero. Since integers can be expressed as fractions (for example, -4 = -4/1), they are also rational numbers.
Hence, the set of rational numbers contains whole numbers, natural numbers, and integers, making option D, "all of the above," the correct answer.