Communicate Mathematical Ideas Two integers, a and b, have different signs. The absolute value of integer a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers. Show your work.

For any two nonzero integers, the product and quotient have the same sign.

Any nonzero integer divided by 0 equals 0.

Multi-step A perfect score on a test with 25 questions is 100. Each question is worth the same number of points.
a. How many points is each question on the test worth?

b. Fred got a score of 84 on the test. Write a division sentence using negative numbers where the quotient represents the number  of questions Fred answered incorrectly.

Persevere in Problem Solving Colleen divided integer a by -3 and got 8. Then she divided 8 by integer b and got -4. Find the quotient of integer a and integer b.

Justify Reasoning The quotient of two negative integers results in an integer. How does the value of the quotient compare to the value of the original two integers? Explain.