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Integers
Whole numbers, both positive and negative, including zero
Notation
Symbol Z represents integers
Operations
Include addition, subtraction, multiplication, and division for integers
Properties
Closure under addition and multiplication, commutative and associative properties, identity elements (0 for addition, 1 for multiplication)
Number line
Representation of integers on a line for comparison
Comparing integers
Greater than (>), less than (<), equal to (=)
Absolute value
The distance of a number from zero
Applications
Integers in temperature scales, bank account balances, counting objects, and representing opposite directions