If one number leaves a remainder of \( 3\) and another leaves a remainder of \( 5\) when both are divided by \( 7\), what remainders will be left when their sum, difference, and product are divided by \( 7\)?
 
Answer:
 
The remainder when their sum is divided by \(7\) \(=\) .
 
The remainder when their difference is divided by \(7\) \(=\) .
 
The remainder when their product is divided by \(7\) \(=\)