Question

Use properties of operations to integers.

Answer 1

+ and - when combined becomes -

- and - when combined becomes +

and the same signes combined the sign remains the same

these are the basics of integer......

Answer 2

Properties of Integers

Integers have 5 main properties of operation which are:

•    Closure Property
•    Associative Property
•   Commutative Property

•    Distributive Property
•    Identity Property

Integer Property  Addition  Multiplication  Subtraction  Division

• Commutative Property  x + y = y+ x  x × y = y × x  x – y ≠ y – x  x ÷ y ≠ y ÷ x
• Associative Property  x + (y + z) = (x + y) +z  x × (y × z) = (x × y) × z  (x – y) – z ≠ x – (y – z)  (x ÷ y) ÷ z ≠ x ÷ (y ÷ z)
• Identity Property  x + 0 = x =0 + x  x × 1 = x = 1 × x  x – 0 = x ≠ 0 – x  x ÷ 1 = x ≠ 1 ÷ x
• Closure Property  x + y ∈ Z  x × y ∈ Z  x – y ∈ Z  x ÷ y ∉ Z
• Distributive Property  x × (y + z) = x × y + x × z
• x × (y − z) = x × y − x × z