Properties of Whole Numbers

Whole Numbers

Definition

• A whole number is a number that is not a fraction or decimal.
• It is a positive integer, including 0.

Properties of Whole Numbers

• Closure Property: 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 of addition or multiplication.
• 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 over addition is equal to the sum of the products.

Operations on Whole Numbers

• Addition: Combining two or more whole numbers to get a total or a sum.
  • Example: 2 + 3 = 5
• Subtraction: Finding the difference between two whole numbers.
  • Example: 5 - 2 = 3
• Multiplication: Repeated addition of a whole number.
  • Example: 2 × 3 = 6
• Division: Sharing a whole number into equal parts or groups.
  • Example: 6 ÷ 2 = 3

Examples of Word Problems

• Addition: If I have 5 pencils in my pencil case and my friend gives me 2 more, how many pencils do I have now?
• Subtraction: If I have 8 crayons in my box and I give 2 away, how many crayons do I have left?
• Multiplication: If I have 3 groups of 4 toys each, how many toys do I have in total?
• Division: If I have 12 cookies and I want to share them equally among 4 of my friends, how many cookies will each friend get?

Practice Questions

1. 4 + 2 = ?
2. 7 - 1 = ?
3. 3 × 4 = ?
4. 9 ÷ 3 = ?
5. If I have 15 marbles and I add 7 more, how many marbles do I have now?

Whole Numbers

Definition

• A whole number is a positive integer, including 0, and is not a fraction or decimal.

Properties of Whole Numbers

• Closure Property: 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 of addition or multiplication.
• 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 over addition is equal to the sum of the products.

Operations on Whole Numbers

• Addition: Combining two or more whole numbers to get a total or a sum, example: 2 + 3 = 5.
• Subtraction: Finding the difference between two whole numbers, example: 5 - 2 = 3.
• Multiplication: Repeated addition of a whole number, example: 2 × 3 = 6.
• Division: Sharing a whole number into equal parts or groups, example: 6 ÷ 2 = 3.

Examples of Word Problems

• Addition: If I have 5 pencils in my pencil case and my friend gives me 2 more, I have 5 + 2 = 7 pencils now.
• Subtraction: If I have 8 crayons in my box and I give 2 away, I have 8 - 2 = 6 crayons left.
• Multiplication: If I have 3 groups of 4 toys each, I have 3 × 4 = 12 toys in total.
• Division: If I have 12 cookies and I want to share them equally among 4 of my friends, each friend will get 12 ÷ 4 = 3 cookies.