Properties of multiplication

key notes:

✅ Commutative Property

🔹 Order of numbers does not change the product.
✨ a × b = b × a
🧮 Example: 4 × 6 = 6 × 4

🔁 Associative Property

🔹 When multiplying 3 numbers, you can group them in any way.
✨ (a × b) × c = a × (b × c)
🧮 Example: (2 × 3) × 5 = 2 × (3 × 5)
➡️ 6 × 5 = 2 × 15
➡️ 30 = 30

🔢 Identity Property of Multiplication

🔹 Multiplying any number by 1 keeps the number the same.
✨ a × 1 = a
🧮 Example: 9 × 1 = 9

🅾️ Zero Property of Multiplication

🔹 Any number multiplied by 0 is always 0
✨ a × 0 = 0
🧮 Example: 8 × 0 = 0

🧠 Distributive Property

🔹 Break a big multiplication into smaller parts using addition.
✨ a × (b + c) = a × b + a × c
🧮 Example:
7 × (3 + 2)
= 7 × 3 + 7 × 2
= 21 + 14 = 35

🎯 Why Learn These Properties?

💡 Makes multiplication easier
📐 Helps solve mental math quickly
🧠 Builds strong math skills
🚀 Saves time in calculations

Learn with an example

✈️ Which equation shows the commutative property of multiplication?

  • 1 × 4 = 4
  • 8 × 2 + 8 × 1 = 8 × (2 + 1)
  • 7 × 2 = 2 + 2 + 2 + 2 + 2 + 2 + 2
  • 3 × 1 = 1 × 3
  • 3 × 1 = 1 × 3
  • This equation shows the commutative property. The order of the factors is changed.

✈️ Which property of multiplication is shown?

✈️ (7 × 3) × 6 = 7 × (3 × 6)

  • associative
  • zero
  • commutative
  • identity
  • (7 × 3) × 6 = 7 × (3 × 6)
  • This equation shows the associative property. The grouping of the factors is changed.

✈️ Which equation shows the associative property of multiplication?

  • 7 × 3 − 0 × 3 = (7 − 0) × 3
  • (5 × 1) × 9 = 5 × (1 × 9)
  • 7 × 9 + 1 = 63 + 1
  • 6 + 6 + 6 = 3 × 6
  • (5 × 1) × 9 = 5 × (1 × 9)
  • This equation shows the associative property. The grouping of the factors is changed.

Let’s practice!🖊️