Sure, let's identify what the set of numbers {0, 1, 2, 3, 4...} is referred to as.
1. Rational numbers: These are numbers that can be expressed as the quotient or fraction of two integers. The set {0, 1, 2, 3, 4...} are rational numbers, but they are not the specific definition we are looking for here since rational numbers include fractions and the set given are just specific whole numbers.
2. Whole numbers: This includes all non-negative integers starting from 0 and increasing without any fractional or decimal part. The set {0, 1, 2, 3, 4...} fits perfectly into this category as these numbers are all whole and non-negative.
3. Real numbers: These include all rational and irrational numbers. This means all whole numbers, fractions, decimals, and non-ending, non-recurring decimal points are part of real numbers. While our set is within real numbers, it is not the most specific definition here.
4. Integers: Integers consist of all positive and negative whole numbers, including zero. Our set {0, 1, 2, 3, 4...} is part of the integers but does not include the negative whole numbers.
Given the specific nature of the numbers in the set {0, 1, 2, 3, 4...}, the best and most precise category is:
- Whole numbers
So, the best answer is:
2. whole numbers
