Numbers and Decimals

Basic Arithmetic

Number Line and Comparing Numbers

Place Value and Rounding Numbers

Basic Arithmetic and Inverse Operations

BIDMAS - Order of Operations

Commutative Property and Associative Property

Distributive Property

Column Addition and Column Subtraction

Long Multiplication

Factors and Multiples

Divisibility and Divisibility Rules

Prime Numbers and Prime Factorization

Powers and Roots

Powers and Indices

Basics of Square Roots

Multiplying and Dividing Square Roots

The nth Root and Fractional Indices

Laws of Indices (Same Base, Same Indices)

Negative Exponents and Power of a Power

Decimals

Decimals and Fractions

Comparing and Rounding Decimals

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Commutative Property and Associative Property

Numbers and Decimals Commutative Property and Associative Property

Courses Overview

🎬 Video Tutorial

(0:24) Commutative Property: Allows numbers to be swapped in addition or multiplication without changing the result.
(1:26) Associative Property: Lets you group numbers differently in addition or multiplication, keeping the result the same.
(2:29) Examples of Applying Both Properties: Use the commutative property to swap numbers and the associative property to group strategically, making calculations simpler.

📂 Revision Cards

The Commutative Property allows swapping numbers in addition and multiplication, shown with examples, but does not apply to subtraction or division. — 1) The Commutative Property

Examples of the commutative property in addition, 77 + 246 + 23, and multiplication, 25 * 19 * 4 with step-by-step calculations. — 2) Commutative Property Example

The Associative Property allows grouping numbers when adding or multiplying, but does not apply to subtraction or division. — 3) The Associative Property

Examples of the Associative Property in addition, (127 + 48) + 52, and multiplication, 5 * (2 * 228) with step-by-step calculations. — 4) Associative Property Example

Applying step by step both the commutative and associative properties in addition, 32 + (115 + 68), and multiplication, 20 × (48 × 5). — 5) Combining Commutative and Associative Properties

🍪 Quiz

0%

Commutative and Associative Laws

1 / 6

Q: Which of the following operations does the commutative law apply to?

$3 + 5 \quad \text{and} \quad 5 + 3$

$9 - 4 \quad \text{and} \quad 4 - 9$

$6 \div 2 \quad \text{and} \quad 2 \div 6$

Feedback: Not quite! The commutative law applies to addition and multiplication. Division and subtraction do not follow this law.

Feedback: Well done! The commutative law applies to addition and multiplication. Division and subtraction do not follow this law.

2 / 6

Q: $60 + 35 + 55 = ?$

155

145

140

150

Feedback: Not quite! Adding the numbers step by step gives 60 + 35 = 95, and then 95 + 55 = 150.

Feedback: Well done! Adding the numbers step by step gives 60 + 35 = 95, and then 95 + 55 = 150.

3 / 6

Q: $25 \times 48 \times 4 = ?$

5,000

4,500

4,800

4,000

Feedback: Not quite! Start by calculating 25 × 4= 100. Then, multiply 48 × 100 = 4800.

Feedback: Well done! Start by calculating 25 × 4 = 100. Then, multiply 48 × 100 = 4800.

4 / 6

Q: $36 + 100 + 64 = ?$

220

190

200

210

Feedback: Not quite! Start by adding 36 + 100 = 136. Then, add 136 + 64 = 200.

Feedback: Well done! Start by adding 36 + 100 = 136. Then, add 136 + 64 = 200.

5 / 6

Q: $50 + 225 + 175 = ?$

440

450

460

430

Feedback: Not quite! Adding the numbers step by step gives 50 + 225 = 275, and then 275 + 175 = 450.

Feedback: Well done! Adding the numbers step by step gives 50 + 225 = 275, and then 275 + 175 = 450.

6 / 6

Q: $250 \times 3 \times 4 \times 2 = ?$

6,000

5,000

4,500

7,000

Feedback: Not quite! Using step-by-step multiplication: 250 × 3 = 750, then 750 × 4 = 3000, and finally 3000 × 2 = 6000.

Feedback: Well done! Using step-by-step multiplication: 250 × 3 = 750, then 750 × 4 = 3000, and finally 3000 × 2 = 6000.

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