Properties on Operations of Integers

1. (-7) + 0 = -7

• Additive Identity

• Additive Inverse

• Multiplicative Identity

• Multiplicative Inverse

2. 6 (3 - 5) = 6(3) - 6(5)

• Associative

• Closure

• Distributive

• Multiplicative Inverse

3. (-8) + (-7) = (-7) + (-8)

• Associative

• Closure

• Commutative

• Distributive

4. (-13) x 1 = -13

• Additive Identity

• Multiplicative Indentity

• Additive Inverse

• Multiplicative Inverse

5. (-4) (-1/4) = 1

• Additive Identity

• Additive Inverse

• Multiplicative Identity

• Multiplicative Inverse

6. 2 x (4 x 7) = (2 x 4) x 7

• Associative

• Closure

• Distributive

• Multiplicative Inverse

7. 11 + (-11) = 0

• Additive Identity

• Additive Inverse

• Multiplicative Identity

• Multiplicative Inverse

8. 3(5) = 5(3)

• Associative

• Closure

• Commutative

• Distributive

9. 2/5 • 5/2 = 1

• Additive Identity

• Additive Inverse

• Multiplicative Identity

• Multiplicative Inverse

10. (-3) (5 + 9) = (-3) (5) + (-3) (9)

• Associative

• Closure

• Commutative

• Distributive