Question

In the proof that the sum of rational numbers ab
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**