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closed under closure property
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The rational numbers are "closed" under addition, subtraction, and multiplication.
The natural numbers (symbol N) are the set of counting numbers {1, 2, 3, 4, 5, 6, ...}
The natural numbers (symbol N) are the set of counting numbers {1, 2, 3, 4, 5, 6, ...}• There are infinitely many numbers in this set of numbers.
The natural numbers (symbol N) are the set of counting numbers {1, 2, 3, 4, 5, 6, ...}• There are infinitely many numbers in this set of numbers.• The natural numbers are "closed" under addition and multiplication.
The whole numbers are the set of counting numbers (natural numbers) along with zero
The whole numbers are the set of counting numbers (natural numbers) along with zero {0, 1, 2, 3, 4, 5, 6, ...}
The whole numbers are the set of counting numbers (natural numbers) along with zero {0, 1, 2, 3, 4, 5, 6, ...}• There are infinitely many numbers in this set of numbers.
The whole numbers are the set of counting numbers (natural numbers) along with zero {0, 1, 2, 3, 4, 5, 6, ...}• There are infinitely many numbers in this set of numbers.• The set of whole numbers is "closed" under addition and multiplication
The integers (symbol Z) are the set of all of the natural numbers,
The integers (symbol Z) are the set of all of the natural numbers, plus their additive inverses (their negatives), and zero {...-4, -3, -2, -1, 0, 1, 2, 3, 4, ....}
The integers (symbol Z) are the set of all of the natural numbers, plus their additive inverses (their negatives), and zero {...-4, -3, -2, -1, 0, 1, 2, 3, 4, ....}• The integers are "closed" under addition, multiplication and subtraction, but NOT under division ( 9 ÷ 2 = 4½).
Irrational numbers are "not closed" under addition, subtraction, multiplication or division
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