Yes.
Rational numbers are closed under multiplication, because if you multiply any rational number you will get a pattern. Rational numbers also have a pattern or terminatge, which is good to keep in mind.
Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.
The set of whole numbers is not closed under division (by non-zero whole numbers).
No. To say a set is closed under multiplication means that if you multiply any two numbers in the set, the result is always a member of the set. If, say, the 2 numbers are radical 2 and radical 2 we have (1.4142...)(1.4142...) which by definition equals 2. The result is not an irrational number, so the set is not closed.
If you can never, by multiplying two whole numbers, get anything but another whole number back as your answer, then, YES, the set of whole numbers must be closed under multiplication.
Yes.
Yes.
l think multiplication
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
Yes. That means that the product of two whole numbers is defined, and that it is again a whole number.
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
They form a closed set under addition, subtraction or multiplication.
Yes, it is closed. This means that if you multiply two even number, you again get a number within the set of even numbers.
Because if X and Y are any two whole number, then X*Y is also a whole number. Always.
No.
Yes.natural numbers are closed under multiplication.It means when the operation is done with natural numbers in multiplication the sum of two numbers is always the natural number.