- Commutative: 3 + 5 = 5 + 3 or 2 × 4 = 4 × 2
- Associative: (2 + 3) + 4 = 2 + (3 + 4) or (2 × 3) × 4 = 2 × (3 × 4)
- Additive Identity: Adding 0 to any value will not change the value. Identity means 0. Example: 7 + 0 = 7
- Additive Inverse: A number which on getting added to the original number results in zero. Example: 5 + (-5) = 0
- Multiplicative Identity: Multiplying any value by 1 will not change the value. Example: 9 × 1 = 9
- Multiplicative Inverse: Multiplying by the reciprocal of any value will result in the value 1. Example: 4 × 1/4 = 1
- Symmetric: The left and right side of an equal sign are the exact same. Example: If a = b, then b = a
- Transitive: You can replace given value with an equivalent value. Example: If a = b and b = c, then a = c
- Reflexive: A value equals itself. Example: 6 = 6
- Distributive: Multiply a value by an expression inside parentheses. Example: 3 × (4 + 5) = (3 × 4) + (3 × 5)
Parent Tip: Review the logic above to help your child master the concept of the real number math worksheet.