Whole numbers

Definition

Whole numbers are non-negative integers, including zero. They do not include fractions, decimals, or negative numbers.

5 Must Know Facts For Your Next Test

1. Whole numbers include 0, 1, 2, 3, and so on.
2. They are a subset of real numbers.
3. Whole numbers are closed under addition and multiplication.
4. The set of whole numbers is denoted by $\mathbb{W}$ or sometimes $\mathbb{N}_0$.
5. The number line representation of whole numbers starts at zero and extends infinitely to the right.

Review Questions

• What is the smallest whole number?
• Are negative integers considered whole numbers?
• Is the number line representation for whole numbers finite or infinite?

Related terms

Integers: A set that includes all positive and negative whole numbers as well as zero.

Natural Numbers: A set of positive integers starting from one. Sometimes includes zero in some definitions.

Real Numbers: All rational and irrational numbers, encompassing whole numbers, fractions, and decimals.