The Closure Property refers to a set being closed under a specific operation, meaning that when you perform that operation on members of the set, the result is also a member of the same set.
In this case, if we are considering the product of a number (which is not specified) and 15, we would need to know which set the initial number belongs to (like integers, whole numbers, rational numbers, etc.) to determine the type of number resulting from the product.
For the scenario where the initial number is an integer:
- The product of any integer and 15 will also be an integer, as integers are closed under multiplication.
If the number belongs to another set, such as the set of rational numbers, the result would still be a rational number since the product of two rational numbers is also rational.
So, to answer your question regarding "the product of a number and 15":
- If the number is an integer, the product is an integer.
- If it's a rational number, the product is a rational number.
Without specific information about the initial number, we cannot definitively classify the product; we can only specify based on whether it belongs to a general set. If you have a specific type of number in mind (like an integer, rational number, etc.), please specify, and I can provide a more precise answer.
1 answer