Adding Rational Numbers & Subtracting Integers

Vocabulary

100

What is the absolute value of -27?

27

200

What is "difference?"

The answer to a subtractions problem.

300

What does adding the opposite mean?

Adding the opposite is turning subtraction problem to addition.

400

Give an example of two numbers that would be called an additive inverse.

EX: 1 and -1

*If the numbers are opposites, the numbers are called additive inverses.

500

What will the sum of additive inverses always be?

Zero, 0

Adding Integers

100

Find the sum.

- 6 + (-3)

- 9

200

Find the sum.

- 34 + (-21)

- 55

300

Simplify.

6 + (- 9)

- 3

400

Evaluate the expression 12 + y + (-8) if y = -7

-3

500

Jillian is on a submarine for a field trip. The submarine dives 106 feet below the water. Then, it rises 63 feet. Where is Jillians position relative to sea level?

-43 ft 

or 

Jillian is 43 feet below sea level.

Subtracting Integers

100

Find the difference.

- 7 - 3

-10

200

Find the difference.

- 5 - (-7)

2

300

Simplify.

- 9 - (-5) - 6

-10

400

Evaluate the expression b - a if a=5 and b=-9.

-14

500

Ricardo's bank account is overdrawn by $50. He then withdraws $20. What is the balance in his account?

-70 dollars OR 

Ricardo's account is overdrawn by $70.

Adding Rational Numbers

100

Find the sum.

-0.48 + (-2.901)

-3.381

200

1/2 + (-4/5)

- 3/10

300

Find the sum.

-6 1/8 + (-2 5/8) 

- 8 3/4

400

Simplify.

-34.9 + 5 3/10

- 29.6 or -29 3/5

500

Evaluate the expression if a = 1/2, b = -5.5, and c = -1.

b + a - (c)

-4