Define integers and write the properties of addition and subtraction of integers
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Integer Property Addition Subtraction
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 – 0 = x ≠ 0 – x
Closure Property x + y ∈ Z x – y ∈ Z
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An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.
Commutative Property
addition: x + y = y+ x
subtraction : x – y ≠ y – x
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