Operations with Rational Numbers Study Guide

Jillian owes the bank $66.25. She deposits $60.00 into her account. What is the current balance of Jillian's account?

• 6.25

• -6.25

• 126.25

• -126.25

Tags

CCSS.6.EE.B.7

CCSS.6.NS.B.3

CCSS.6.NS.C.5

Which difference is represented by this number line?

• -3 - (-2)

• -3 - 2

• -5 + (-3)

• -5 + (-2)

Tags

CCSS.6.NS.C.5

CCSS.6.NS.C.6

Consider the following expression:

25 + (-12) + (-5) + 10.

Which of the following word problems could the expression represent?

• Chris owed his friend Darien $25. He paid her $12 on Monday, $5 on Wednesday, and $10 on Friday. How much money does Chris still owe Darien?

• Julia earned $25 babysitting. She bought a sweater for $12 and a book for $5. Her mom then gave her $10 for her allowance. How much money does Julia now have?

• For his birthday, Mark got $25 from his mom, $12 from his grandma, and $5 from his brother. He spent $10 on tokens at the arcade. How much money does Mark have left?

• Blaine earned $25 by walking the neighbors’ dogs. At the mall, she spent $12 on a new book and $5 on some candy. She then gave $10 to her little sister. How much money does Blaine have left?

Tags

CCSS.6.NS.C.5

What is the value of the expression:

5.4 − (−8.35)?

• -13.75

• -2.95

• 2.95

• 13.75

Tags

CCSS.6.NS.B.3

CCSS.6.NS.C.5

Which expression represents the distance between T and U on the number line?

• |−2 + −5|

• |−2 − (−5)|

• −5 − (−2)

• |−2| + |−5|

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

CCSS.6.NS.C.8

For homework, Robert has to add 2,487 + (−3,723). Robert thinks to himself, "I know the sum will be less than zero." Is Robert correct? How can you tell if the sum of a positive and a negative number will be positive or negative? Explain your answer.

• Yes, the signs are different so he would subtract and the negative number is larger than the positive number. Therefore, the answer is negative.

• No, the signs are different so he would subtract and the positive number is larger than the negative number. Therefore, the answer is positive.

• No, the signs are different so he would multiply; therefore, the answer is negative.

• Yes, the signs are different so he would multiply; therefore, the answer is positive.

Tags

CCSS.6.NS.C.5

Hailey and Leo are throwing rocks at an old soda can. Hailey’s rock landed 16 feet directly in front of the can. Leo's rock landed 21 feet directly behind the can. What is the distance, in feet, from Hailey's rock to Leo's rock?

• 5 feet

• 21 feet

• 16 feet

• 37 feet

Tags

CCSS.6.NS.C.5

CCSS.6.NS.C.6

CCSS.6.NS.C.7

Choose the best description.

the product of -16 and -7

• a negative fraction

• a positive fraction

• a positive integer

• a negative integer

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

A great white shark is 8 ft. below sea level. A drone is 364.3 ft. above sea level, and a sunken pirate ship is 386.4 ft. below sea level.

Is the shark closer to the drone or the pirate ship? _______________________

• Drone

• Pirate Ship

• Swimmer

• Great White Shark

Tags

CCSS.6.NS.C.5

CCSS.6.NS.C.6

CCSS.6.NS.C.7

A great white shark is 8 ft. below sea level. A drone is 364.3 ft. above sea level, and a sunken pirate ship is 386.4 ft. below sea level.

What is the distance between the drone and the pirate ship?______________________

• 750.7 feet

• 372.3 feet

• 394.4 feet

• 22.1 feet

Tags

CCSS.6.NS.C.5

CCSS.6.NS.C.7