Question

2. How are the rules for division of signed numbers similar to the rules for multiplication of signed numbers?

Answer 1

same thing. division is the same as multiplying by the reciprocal.

Answer 2

Recall a positive and a negative number are said to have opposite signs.

Rules for multiplication:

If two numbers have the same sign their product is positive.
If two numbers have opposite signs their product is negative.

Rules for division:

If two numbers have the same sign thier quotient is positive.
If two numbers have opposite signs their quotient is negative.