time to waste some time on the homework of random strangers again. :D
a) 10/-5, -12/2, 2/-3
b) they must have different signs
c) 10/5, -12/-2, 2/3
d) the must have the same sign
1) A quotient is negative is the divisor and the dividend have different signs
2) A quotient is positive if the divisor and the dividend have the same signs
3) no, sometimes the quotient can be a decimal or a fraction. example: 2/3, 5/2. counterexample: 10/5
4) The rules for dividing integers are similar to the rules for multiplying integers. The quotient is positive if the divisor and dividend have the same signs and negative if they have different signs.
5) gah, the phrasing is a bit odd. I'm afraid you're on your own here..
6 & 7) all three students that answered are correct
goodluck with your classwork/homework.
a good rule for this sorts of stuff in the future is same signs = positive, different signs = negative.