In the proof that the sum of rational numbers ab

Question

 and  cd
, 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+bc
and  bd
are integers. Enter 1 for option 1, 2 for option 2, and 3 for option 3.

Option 1: Associative Property

Option 2: Closure Property

Option 3: Commutative Property

Answer 1

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

2 (Closure Property)