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



(1 point)

Answer 1

The property that states that $ad+bc$ and $bd$ are integers, when $a,b,c,$ and $d$ are integers and $b$ and $d$ are non-zero, is the Closure Property. This property indicates that the sum and product of integers are also integers.

So, the correct answer is:

2