Question

practice
for exercises 1-4, find the quotient.

1. $\frac{-24}{8}$
2. $\frac{98}{-7}$
3. $\frac{-41.4}{9}$
4. $\frac{-86.1}{7}$

for exercises 5-8, write a division expression to represent each situation. then answer the question.

1. carlos has an auto-pay feature set up on his bank account to pay his phone bill. over the last 8 months, a total of $320 dollars was paid out for this bill. what value describes the change in his account balance each month after his phone bill is paid?
2. a charity currently has 2,560 pounds of food in their food pantry. they distribute the same amount of food each week for 16 weeks. what value describes the change in the total amount of food in the pantry each week?
3. rileys dad pays for rileys weekly sessions at a batting cage using his debit card. after 8 weeks, he has spent $34. what value describes how much riley has to pay her dad each week to pay him back?
4. nadir received a $45 fine for parking his car at an expired meter for 3 hours. what value represents how much nadir owes for each hour he was parked at the meter?

Explanation:

Step1: Divide negative by positive

$\frac{-24}{8} = -3$

Step2: Divide positive by negative

$\frac{98}{-7} = -14$

Step3: Divide negative by positive

$\frac{-41.4}{9} = -4.6$

Step4: Divide negative by positive

$\frac{-86.1}{7} = -12.3$

Step5: Set up monthly change expression

$\frac{-320}{8} = -40$

Step6: Set up weekly food change expression

$\frac{-2560}{16} = -160$

Step7: Set up weekly repayment expression

$\frac{34}{8} = 4.25$

Step8: Set up hourly fine expression

$\frac{45}{3} = 15$

Answer:

1. $-3$
2. $-14$
3. $-4.6$
4. $-12.3$
5. Division expression: $\frac{-320}{8}$; Monthly account balance change: $-\$40$
6. Division expression: $\frac{-2560}{16}$; Weekly food amount change: $-160$ pounds
7. Division expression: $\frac{34}{8}$; Weekly repayment amount: $\$4.25$
8. Division expression: $\frac{45}{3}$; Hourly owed amount: $\$15$