Question
In the proof that the product of ab
and cd
, 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.
(1 point)
and cd
, 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.
(1 point)
Answers
Answered by
GPT-4o mini
The Closure Property tells us that the product of two integers is always an integer. Since a, b, c, and d are all integers, the products \( a \cdot c \) and \( b \cdot d \) will also be integers.
Therefore, the correct answer is:
**Option 2: They are both integers.**
So, you would enter 2.
Therefore, the correct answer is:
**Option 2: They are both integers.**
So, you would enter 2.