Whole Numbers Properties

Whole Numbers

Definition

• A whole number is a positive integer, including 0, without fractions or decimals.
• Examples: 0, 1, 2, 3, ...

Properties

• Closure: The result of adding or multiplying two whole numbers is always a whole number.
• Commutative Property: The order of whole numbers does not change the result when adding or multiplying.
• Associative Property: The order in which whole numbers are added or multiplied does not change the result.
• Distributive Property: The multiplication of a whole number and a sum is equal to the sum of the products.

Operations

• Addition: Combining two or more whole numbers to get a total or a sum.
• Subtraction: Finding the difference between two whole numbers.
• Multiplication: Repeated addition of a whole number.
• Division: Repeated subtraction of a whole number, resulting in a quotient and a remainder.

Types of Whole Numbers

• Even numbers: Whole numbers that are divisible by 2, ending in 0, 2, 4, 6, or 8.
• Odd numbers: Whole numbers that are not divisible by 2, ending in 1, 3, 5, 7, or 9.
• Prime numbers: Whole numbers greater than 1 that have only two factors: 1 and themselves.
• Composite numbers: Whole numbers that have more than two factors.

Applications

• Counting and measurement
• Basic arithmetic operations
• Real-world problems, such as calculating quantities or amounts

Whole Numbers

Definition

• A whole number is a positive integer, including 0, without fractions or decimals.
• Examples of whole numbers include 0, 1, 2, 3, and so on.

Properties of Whole Numbers

• The closure property states that adding or multiplying two whole numbers always results in a whole number.
• The commutative property states that the order of whole numbers does not change the result when adding or multiplying.
• The associative property states that the order in which whole numbers are added or multiplied does not change the result.
• The distributive property states that the multiplication of a whole number and a sum is equal to the sum of the products.

Operations on Whole Numbers

• Addition combines two or more whole numbers to get a total or a sum.
• Subtraction finds the difference between two whole numbers.
• Multiplication is repeated addition of a whole number.
• Division is repeated subtraction of a whole number, resulting in a quotient and a remainder.

Types of Whole Numbers

• Even numbers are whole numbers that are divisible by 2, ending in 0, 2, 4, 6, or 8.
• Odd numbers are whole numbers that are not divisible by 2, ending in 1, 3, 5, 7, or 9.
• Prime numbers are whole numbers greater than 1 that have only two factors: 1 and themselves.
• Composite numbers are whole numbers that have more than two factors.

Applications of Whole Numbers

• Whole numbers are used for counting and measurement.
• They are used for basic arithmetic operations.
• Whole numbers are used to solve real-world problems, such as calculating quantities or amounts.