Question

The Closure Property states that...(1 point) Responses the sum or product of any two numbers from the same subset will result in a number from the same subset. the sum or product of any two numbers from the same subset will result in a number from the same subset. the quotient of two rational numbers will be an irrational number. the quotient of two rational numbers will be an irrational number. the sum or product of any two numbers from the same subset will result in a number from a different subset. the sum or product of any two numbers from the same subset will result in a number from a different subset. Check Answer Question 2 Read each statement carefully. Then select if the result of the statement will be rational or irrational. (4 points) Rational Irrational The sum of two rational numbers is always a(n) _________. The sum of a rational and irrational number will result in a(n) ___________. The product of a nonzero rational number and an irrational number will result in a(n) ____________________. The product of two rational numbers is always a(n) ______________.

Answer 1

**Question 1: The Closure Property**
- The correct response is: **the sum or product of any two numbers from the same subset will result in a number from the same subset.**

The Closure Property refers to the idea that performing a specific operation (like addition or multiplication) on elements from a set yields results that are also within that set.

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**Question 2: Classifying Results as Rational or Irrational**
1. The sum of two rational numbers is always a(n) **Rational**.
2. The sum of a rational and irrational number will result in a(n) **Irrational**.
3. The product of a nonzero rational number and an irrational number will result in a(n) **Irrational**.
4. The product of two rational numbers is always a(n) **Rational**.

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