Adding and Subtracting Integers

Vocab

100

Descend

Moving in the negative direction.

200

Debt or Overdrawn

In a bank account to owe money (negative value)

300

Opposite

The opposite of a number is the same distance from zero as the original number on the other side of the number line. 

400

Integer

All positive and negative numbers and zero.

500

Rational Number

A number that can be written as a ratio (a fraction) of two integers as long as the denominator is not zero.

Adding Integers

100

-5 + 9

4

200

-12 + 5

-7

300

-19 + (-12)

-31

400

-16+18+-17

-15

500

-19 + 20 - 8 + 4

-3

Subtracting Integers

100

-4 - 6

-10

200

4 - 11

-7

300

15 - (-7)

22

400

-27 - (-3)

-24

500

-10 - 11 - (-3)

-18

Word Problems

100

Sarah owes $52 for a phone bill and then she pays $52 for a phone bill. Write an equation to represent this situation and solve.

0

200

A diver is at 30 meters below the surface of the water. He goes up 18 meters. What is is final location written as an integer

-12

300

The temperature is 4°C at noon. The temperature decreases 11°C  at 2:00 in the morning, then it goes up 6°C at 6:00. What is the final temperature at 6:00 in the morning?

-1

400

Lacey parked in a downtown underground parking lot on level 5. She then went above the street level to her favorite store on the third floor of a building.  How far did she travel? 

8 floors

500

A mountain climber starts at sea level (0). The climber then ascends 450 m, descends 620 m, then ascends 210 m. What integer represents her final elevation?

40

Expressions with Integers

100

Simplify:  5a + (-2a)

3a

200

-7h + (-4h)

-11h

300

Evaluate:  if a = -12 and b = 8

a - b

-20

400

Simplify:

9g - (-5g) - 4g

10g

500

Evaluate if r = -9 and t = 11

1 + t - r - 13

8