October 27th

Multiple Choice

Which of the following is an example of a real-world problem that involves using signed numbers?

• Calculating the total cost of groceries

• Finding the difference in temperature between two days

• Counting the number of apples in a basket

• Measuring the length of a pencil

Open Ended

Why is it important to understand how to find the quotient of integers in real-world situations?

Open Ended

You already know how to operate with integers and positive rational numbers. How can you use this knowledge to operate with all rational numbers?

Open Ended

What is the rule for multiplying integers?

Open Ended

What is the rule for dividing integers?

Multiple Select

Which of the following are true when dividing negative numbers?

• Same signs, answer is positive

• Different signs, answer is negative

• Same signs, answer is negative

• Different signs, answer is positive

Multiple Choice

Which of the following statements is true about multiplying and dividing negative numbers?

• If the signs are the same, the answer is positive.

• If the signs are different, the answer is positive.

• If the signs are the same, the answer is negative.

• If the signs are different, the answer is always zero.

Multiple Choice

What operation should be used to solve this question?

Natalia and Mario both borrowed money from Kaya. Natalia owes Kaya $25. Mario owes Kaya 3/4 of the amount that Natalia owes. How much doe Mario owe Kaya?

• Addition, because we are combining amounts that find the total.

• Subtraction, because we are comparing or finding the difference between two amounts.

• Multiplication, because we finding a fraction of a given amount.

• Division, because we are splitting the value into equal parts.

Fill in the Blanks

Mario owes Kaya 3/4 the amount that Natalia owes. If Natalia owes Kaya $25.00, how much does Mario owe Kaya?

Multiple Choice

What operation should be used to solve this question?

In 4 hours in direct sunlight the water level in a bucket changes -1/8 inch. How fast is the water level changing per hour?

• Addition, because we are combining amounts that find the total.

• Subtraction, because we are comparing or finding the difference between two amounts.

• Multiplication, because we are increasing or repeating the amount over several hours.

• Division, because we are determining the water level per hour (unit rate).

Multiple Choice

What is the algorithm (rule) for dividing fractions?

• Add the two fractions together
• Subtract the second fraction from the first
• Multiply the two fractions together
• To divide fractions, multiply by the reciprocal (flip) of the second fraction.

Fill in the Blanks

In 4 hours in direct sunlight the water level in a bucket changes -1/8 inch. How fast is the water level changing per hour?

Multiple Choice

What operation should be used to solve this question?

The temperature changes -1 3/4 degrees per hour from 10:00 p.m. to 5:30 a.m.

What is the total expected temperature change over the

time period?

• First I have to find out how many hours passed, then, addition, because we are combining amounts that find the total.

• First I have to find out how many hours passed, then subtraction, because we are comparing or finding the difference between two amounts.

• First I have to find out how many hours passed, then, multiplication, because we are increasing or repeating the amount over several hours.

• First I have to find out how many hours passed, then, division, because we are determining the water level per hour (unit rate)

Multiple Choice

The temperature changes -1 3/4 degrees per hour from 10:00 P.M. to 5:30 A.M. What is the total expected temperature change over the time period?

• -13.125 degrees
• -12.75 degrees
• -15 degrees
• -10.5 degrees

Multiple Choice

What operation should be used to solve this question?

Andrew is riding his bicycle a total of 15 miles around a 3¾-mile loop.
If it takes him 12½ minutes to ride each loop, how long does it take him to complete his ride?

• First I have to find out how many loops he rides then, addition, because we are combining amounts that find the total.

• First I have to find out how many loops he rides then, subtraction, because we are comparing or finding the difference between two amounts.

• First I have to find out how many loops he rides, then, multiplication, because we are increasing or repeating the amount over several loops.

• First I have to find out how many loops he rides, then, division, because we are determining the distance per loop (unit rate)

Multiple Choice

Andrew is riding his bicycle a total of 15 miles around a 3 3/4-mile loop. If it takes him 12 1/2 minutes to ride each loop, how long does it take him to complete his ride?

• 60 minutes
• 50 minutes
• 45 minutes
• 30 minutes

Multiple Choice

What operation should be used to solve this question?

Alejandro ordered 6 pizzas for the 17 players on his soccer team and some coaches.
He thinks each person will eat 5/16 of a pizza.
How many coaches does Alejandro think he can feed?

• Addition, because we are combining amounts that find the total.

• First I have to find out how Subtraction, because we are comparing or finding the difference between two amounts.

• Multiplication, because we are finding the total amount of pizza eaten when each person ate the same amount.

• First I have to find out how many Division, because we are determining how many groups can share a total amount.

Multiple Choice

Alejandro ordered 6 pizzas for the 17 players on his soccer team, and some of the coaches. He thinks that each person will eat 5/16 of a pizza. How many coaches does Alejandro think he can feed?

• 3
• 4
• 2
• 1

Multiple Choice

What operation should be used to solve this question?

Trung earns $17.50 per hour delivering packages.
While she is working, she pays her neighbor $3.10 per hour to watch her dog.
How much money does Trung keep after working a 5½-hour shift?

• First I have to find the difference between what Trung earns and what she pays per hour then, addition, because we are combining amounts that find the total.

• First I have to find the difference between what Trung earns and what she pays per hour then, subtraction, because we are comparing or finding the difference between two amounts.

• First I have to find the difference between what Trung earns and what she pays per hour, then, multiplication, because we are increasing or repeating the amount over several hours.

• First I have to find the difference between what Trung earns and what she pays per hour, then, division, because we are determining the amount per hour (unit rate)

Multiple Choice

Trung earns $17.50 per hour working at her job delivering packages. While she is working, she pays her neighbor $3.10 per hour to watch her dog. How much money does Trung keep after working a 5 1/2-hour shift?

• $65.50
• $72.80
• 79.20
• $85.00

Fill in the Blanks

Fill in the blank: 38.25 ÷ -4 1/2 =

Multiple Choice

What is the value of the expression: -2/5 × 2.5?

• -6.25

• 6.25

• -0.5

• 0.5

Multiple Choice

-112.6 x 1 3/4

• -197.05

• -150.75
• -200.00
• -180.25

Multiple Choice

Which of the following is the correct solution to the expression: 31.5 ÷ (7/8)?

• 36

• 28

• 35.7

• 31.1

Open Ended

Explain the steps you would take to solve the expression: 2 3/4 + (–3 1/2) – 5/8.

Open Ended

What questions do you still have about solving problems with signed numbers or the quotient of integers?

Open Ended

How can you use operations with signed numbers to solve real-world problems?

Open Ended

Does a quotient change if the negative sign is on the divisor instead of the dividend?