Overview
Basic Arithmetic

Commutative and Associative Laws

 Video Tutorial

Key Aspects:
  • Commutative Law in Addition and Multiplication
  • Associative Law for Simplifying Calculations
  • Applying the Commutative and Associative Laws
  • Limitations of the Commutative and Associative Laws
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 Revision Cards

1) The Commutative Law

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

2) Example of the Commutative Law

Examples of the commutative law in addition, 77 + 246 + 23, and multiplication, 25 * 19 * 4 with step-by-step calculations.

3) The Associative Law

The Associative Law allows grouping numbers when adding or multiplying, but does not apply to subtraction or division.

4) Example of the Associative Law

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

5) Combining the Commutative and Associative Laws

Applying step by step both the commutative and associative law in addition, 32 + (115 + 68), and multiplication, 20 × (48 × 5).

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 Exercises

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