Name: _______________________________________

Investigation 3 Quiz Multiplying and Dividing Rational Numbers

MASTERY OPPORTUNITY

I can solve operations composed of rational numbers with an understanding of their properties

Answer all of the following questions. You may NOT use a calculator. If you got ANY part of Questions 1 - 2 incorrect, please revise and correct your answer AND answer the following mastery question. QUESTION 1 – 2 MASTERY QUESTION: How are the multiplication and addition operations similar? How are they different? 1) Use the following situation to answer the questions below:

Aiden and Henry were running a relay race using the “track” below. Henry passed the 0 mark running to the left at 5 m/s. Where will he be 6 seconds from now?

a) Write a number sentence to represent the situation above (remember negatives!):

___________ x ___________ = ____________

b) Use the number line below to create a visual for Henry’s relay race.

2) Tell whether the following statements are true or false. Give an example to prove how you know.

a. Multiplication is commutative. TRUE or FALSE? ____________________

Give an example to prove how you know:

b. Division is commutative. TRUE or FALSE? ______________________ Give an example to prove how you know:

If you got ANY part of Questions 3 – 9 incorrect, please revise and correct your answer AND answer the following mastery question.

QUESTION 3-9 MASTERY QUESTION: Explain how you can predict the sign of the product or quotient of a multiplication or division problem. GIVE EXAMPLES! 3) Without doing any calculations, tell whether each product is greater than zero (POSITIVE) or less

than zero (NEGATIVE). Explain how you know.

a) 8.25 × -12.2 _______________________ because:

b) − 4

7 × −

1

3 _______________________ because

For exercises 4-7, find the product or quotient. Show your work if necessary.

4) -3 × (-8) _________ 6) –12 ÷ (4) _________

5) 1.5 × (- 8) _________ 7) 3 ÷ 1

2 _________

For exercises 8-9, fill in the blanks to make each statement true. Then draw a visual to help represent the problem. 8) 3 x (-10) means: “Starting at zero, add __________ ____________ times.” Answer: _________

Visual (number line or integer chips):

9) -40 ÷ 5 means: “Start with ____________, then split it into ______________ groups.” Answer: ___________

Visual (number line or integer chips): 9) Find integers that make each number sentence true:

a) __________ x __________ = -12 Explain how you know your answer is correct:

b) _________ ÷ _________ = -5 Explain how you know your answer is correct:

If you got ANY part of Questions 10 incorrect, please revise and correct your answer AND answer the following mastery question.

QUESTION 10 MASTERY QUESTION: Define the 4 different properties we discussed in class and provide examples of each property. 10) Fill in the blanks to make each statement true.

a) -3 x _____ = 1 because of the multiplicative ___________________ property.

b) -3 + _____= 0 because of the additive ___________________ property.