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Questions and Answers
What is the purpose of the distributive property in whole numbers?
What is the purpose of the distributive property in whole numbers?
What is the result of multiplying two whole numbers?
What is the result of multiplying two whole numbers?
If I have 12 pencils and I add 4 more, how many pencils do I have now?
If I have 12 pencils and I add 4 more, how many pencils do I have now?
What is the result of subtracting 2 from 9?
What is the result of subtracting 2 from 9?
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If I have 3 groups of 5 toys each, how many toys do I have in total?
If I have 3 groups of 5 toys each, how many toys do I have in total?
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What is the result of dividing 18 by 3?
What is the result of dividing 18 by 3?
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If I have 24 cookies and I want to share them equally among 6 of my friends, how many cookies will each friend get?
If I have 24 cookies and I want to share them equally among 6 of my friends, how many cookies will each friend get?
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What is the result of adding 2 and 6?
What is the result of adding 2 and 6?
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Study Notes
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
- 4 + 2 = ?
- 7 - 1 = ?
- 3 × 4 = ?
- 9 ÷ 3 = ?
- 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.
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Description
Learn about the properties of whole numbers, including closure, commutative, and associative properties. Understand how these properties apply to addition and multiplication of whole numbers.
