Commutative and Associative Properties

Learn how the commutative and associative properties help you add and multiply numbers more easily. Let’s get started! 🚀

Commutative and Associative Properties - introduction visual

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The Commutative Law allows swapping numbers in addition and multiplication, shown with examples, but does not apply to subtraction or division.Examples of the commutative law in addition, 77 + 246 + 23, and multiplication, 25 * 19 * 4 with step-by-step calculations.The Associative Law allows grouping numbers when adding or multiplying, but does not apply to subtraction or division.Examples of the Associative Law in addition, (127 + 48) + 52, and multiplication, 5 * (2 * 228) with step-by-step calculations.Applying step by step both the commutative and associative law in addition, 32 + (115 + 68), and multiplication, 20 × (48 × 5).

🛎️ What is the Commutative Property?

  • The commutative property means you can swap the order of numbers
  • It works for addition and multiplication, but not for subtraction or division

🛎️ Commutative Property: Examples

  • In addition, changing the order gives the same total
  • In multiplication, changing the order gives the same product

🛎️ What is the Associative Property?

  • The associative property means you can change how numbers are grouped
  • It works for addition and multiplication, but not for subtraction or division

🛎️ Associative Property: Examples

  • In addition, regrouping numbers does not change the total
  • In multiplication, regrouping numbers does not change the product

🛎️ Using Both Properties Together

  • You can reorder and regroup numbers to make calculations easier
  • This helps you with mental maths and simplifying expressions

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