List the following subsets of the real numbers in order from least inclusive to most inclusive.(1 point)
rational numbers, natural numbers, whole numbers, integers
whole numbers, natural numbers, integers, rational numbers
natural numbers, whole numbers, integers, rational numbers
natural numbers, whole numbers, rational numbers, integers
The subsets of the real numbers in order from least inclusive to most inclusive are:
1. natural numbers
2. whole numbers
3. integers
4. rational numbers
To order the given subsets of the real numbers from least inclusive to most inclusive, we need to understand the definitions of each subset.
1. Natural numbers: These are the counting numbers, starting from 1 and going infinitely: 1, 2, 3, 4, 5, ...
2. Whole numbers: Whole numbers include zero along with the natural numbers: 0, 1, 2, 3, 4, ...
3. Integers: Integers include both positive and negative whole numbers, along with zero: ..., -3, -2, -1, 0, 1, 2, 3, ...
4. Rational numbers: Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. This includes all integers and fractions: -3, -2, -1, 0, 1/2, 2/3, 3/4, ...
Now, let's arrange the subsets starting with the least inclusive to the most inclusive:
1. Natural numbers: This subset includes only positive integers starting from 1.
2. Whole numbers: This subset includes all natural numbers along with zero.
3. Integers: This subset includes all whole numbers, including negative integers.
4. Rational numbers: This subset includes all integers and fractions that can be expressed as a ratio of two integers.
Therefore, the correct order from least inclusive to most inclusive is:
natural numbers, whole numbers, integers, rational numbers.
So, the correct answer is "natural numbers, whole numbers, integers, rational numbers."
least: natural
and all rationals are real, so what do you think?