🔢 Laboratory Work

Commutative Property of Multiplication

Learning that a × b = b × a

📚 Theoretical Material

What is the commutative property of multiplication?

The commutative property of multiplication means that changing the order of factors does not change the product.

a × b = b × a
Examples:
3 × 4 = 12 4 × 3 = 12 ✅ Same result!
7 × 5 = 35 5 × 7 = 35 ✅ Same result!
2 × 8 = 16 8 × 2 = 16 ✅ Same result!

Visual Representation

3 × 4 = 12

3 rows of 4 dots = 12 dots

4 × 3 = 12

4 rows of 3 dots = 12 dots

Pay attention: In the first case, we have 3 rows of 4 dots (3×4 rectangle), and in the second - 4 rows of 3 dots (4×3 rectangle). The number of dots is the same (12), but the arrangement is different!

✏️ Practical Tasks

Task 1: Check the commutative property

Choose two numbers and verify that their product does not depend on the order of factors.

Task 2: Create your own examples

Think of three pairs of numbers and write their products in both orders.

× = ?
× = ?
× = ?
× = ?
× = ?
× = ?

🧪 Knowledge Check

Test with 10 questions on the commutative property of multiplication

Ready for the knowledge check?

The test has 10 questions. Read the tasks carefully and choose the correct answers.