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

Answer 1

Without solving, will the sum of 4.2+36−−√
be rational or irrational? Enter 1 for rational. Enter 2 for irrational. (1 point)

Answer 2

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

**2**