Final answer:
By applying division rules for signs, we can determine that the quotients of -125 and 5, and 0 and -350 are negative, while the quotients of -264 and -12, and 276 and 8 are positive.
Step-by-step explanation:
To determine the signs of the quotients, we will apply the rules for division which are similar to multiplication regarding signs:
- When two positive numbers are divided, the answer has a positive (+ve) sign.
- When two negative numbers are divided, the answer also has a positive (+ve) sign.
- When two numbers with opposite signs are divided, the answer has a negative (-ve) sign.
- The division of zero by any nonzero number is always zero.
Now, let's apply these rules to the given quotients:
- The quotient of -125 and 5 is -25, a negative number (-ve) because the signs are opposite.
- The quotient of -264 and -12 is 22, a positive number (+ve) because both numbers are negative.
- The quotient of 0 and -350 is 0, since zero divided by any number is always zero.
- The quotient of 276 and 8 is 34.5, a positive number (+ve) because both numbers are positive.