Please tell me about properties of integers
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Properties Of Integers

Properties Of Integers
There are a few properties of integers which determine its operations. These principles or properties help us to solve many equations. To recall, integers are any positive or negative numbers, including zero. Properties of these integers will help to simplify and answer a series of operations on integers quickly.
All properties and identities for addition, subtraction, multiplication and division of numbers are also applicable to all the integers. Integers include the set of positive numbers, zero and negative numbers which are denoted with the letter Z.
Z = {……….−5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5,………}

Properties Of Integers
Properties of Integers
Integers have 5 main properties of operation which are:
Closure Property
Associative Property
Commutative Property
Distributive Property
Identity Property
Integer PropertyAdditionMultiplicationSubtractionDivisionCommutative Propertyx + y = y+ xx × y = y × xx – y ≠ y – xx ÷ y ≠ y ÷ xAssociative Propertyx + (y + z) = (x + y) +zx × (y × z) = (x × y) × z(x – y) – z ≠ x – (y – z)(x ÷ y) ÷ z ≠ x ÷ (y ÷ z)Identity Propertyx + 0 = x =0 + xx × 1 = x = 1 × xx – 0 = x ≠ 0 – xx ÷ 1 = x ≠ 1 ÷ xClosure Propertyx + y ∈ Zx × y ∈ Zx – y ∈ Zx ÷ y ∉ ZDistributive Propertyx × (y + z) = x × y + x × z
x × (y − z) = x × y − x × z
Answer:
properties of integers
Integer Property Addition Multiplication
Commutative Property x + y = y+ x x × y = y × x
Associative Property x + (y + z) = (x + y) +z x × (y × z) = (x × y) × z
Identity Property x + 0 = x =0 + x x × 1 = x = 1 × x
Closure Property x + y ∈ Z x × y ∈ Z
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