Question

In the proof that the product of a/b
and c/d
, where a, b, c, and d are integers and b and d are non-zero, what does the Closure Property tell you about the products a⋅c
and b⋅d
? Enter 1 for option 1 and 2 for option 2.

Option 1: They are both imaginary numbers.

Option 2: They are both integers.

Answer 1

2

Reason: The integers are closed under multiplication, so a·c and b·d are both integers.