Whole numbers
Whole numbers are the set of counting numbers (1, 2, 3, ...) plus zero, representing complete quantities with no fractional or decimal parts. In 4th grade math with Saxon Math Intermediate 4, Chapter 1, students formally define whole numbers as the foundation of their number system study. Whole numbers are used for counting discrete objects, ordering, and performing the four basic operations. Understanding the whole number set is the starting point for extending to integers (adding negatives), fractions, and rational numbers in later grades.
Key Concepts
Property Whole numbers are the counting numbers and the number zero. $$0, 1, 2, 3, 4, 5, \ldots$$.
Example The number 42 is a whole number. The number 987 is a whole number. The number 0 is a whole number.
Explanation Imagine you're counting treasures in a chest—one, two, three... those are counting numbers! Now, what if the chest is empty? You'd have zero treasures. Whole numbers are simply all your counting numbers plus their buddy, zero. They represent complete items without any messy fractions or decimal parts involved, keeping your math clean and simple.
Common Questions
What are whole numbers?
Whole numbers are the counting numbers (1, 2, 3, 4, ...) and zero. They have no fractional or decimal parts and represent complete quantities. The set of whole numbers is: 0, 1, 2, 3, 4, 5, and so on without end.
Is zero a whole number?
Yes. Zero is a whole number. The counting numbers start at 1, but whole numbers include zero. Zero represents none of something — an empty set — and is the boundary between positive and negative numbers.
Are negative numbers whole numbers?
No. Negative numbers (-1, -2, -3, ...) are integers but not whole numbers. Whole numbers are only 0 and the positive counting numbers.
What is the difference between whole numbers and natural numbers?
Natural numbers (also called counting numbers) start at 1: 1, 2, 3, ... Whole numbers include zero in addition: 0, 1, 2, 3, ... The difference is whether zero is included.
When do 4th graders learn about whole numbers?
In Saxon Math Intermediate 4, Chapter 1, Lessons 1-10, whole numbers are formally defined as the first topic, establishing the number set for all arithmetic covered in 4th grade.
How do whole numbers relate to fractions and decimals?
Whole numbers are a subset of fractions (any whole number n can be written as n/1) and decimals (any whole number n can be written as n.0). Understanding whole numbers first makes it easier to extend to these more complex number forms.