In the proof that the sum of rational numbers& and &, where a, b, c, and d are integers and b and d are non-zero, is a rational number, name the property that states that ad + be and od are integers. Enter 1 for option 1, 2 for option 2, and 3 for option 3.

Question

Option 1: Associative Property
Option 2: Closure Property
Option 3: Commutative Property

Answer 1

The property that states that \( ad + be \) and \( bd \) are integers is the Closure Property. Therefore, the correct answer is:

2