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Rational numbers are closed under addition, subtraction, and multiplication but not under division.
Commutative Property For rational numbers, addition and multiplication are commutative.
This means that rational numbers are closed under addition, subtraction and multiplication.
The rational numbers are closed under addition, subtraction, and multiplication. The closure property isn't applicable for division since division by zero isn't defined.
Answer: We can say that rational numbers are closed under addition, subtraction and multiplication. For rational numbers, addition and multiplication are commutative.
Irrational numbers are not closed under addition, subtraction, multiplication, and division.
The closure property of rational numbers states that when any two rational numbers are added, subtracted, or multiplied, the result of all three cases will also be a rational number.
Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.
Closure property For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example: (7/6)+(2/5) = 47/30.
Closure property of rational numbers under subtraction: The difference between any two rational numbers will always be a rational number, i.e. if a and b are any two rational numbers, a – b will be a rational number.