Combining positive and negative integers

Vocab

100

What is an integer

A counting number

200

What is a negative integer?

An integer below 0

300

What is absolute value?

A numbers distance from 0

400

What is a zero pair?

2 numbers when added together make 0 (for example: 5 + -5 = 0)

500

When adding a positive and negative integer, how do you know if the answer will be positive or negative?

Whichever integer (positive or negative) has the larger absolute value

Pos. + Pos. and Neg. + Neg.

100

-5 + (-3)

What is -8

200

-10 + (-3)

What is -13

300

-21 + (-10)

What is -31

400

-31 + (-9)

What is -40

500

-15 - ( -21)

What is 6

Adding Positive and Negative Integers

100

2 + -2

0

200

3 + -5

-2

300

10 + -4

6

400

-12 + 7

-5

500

-20 + 27

7

Adding 3 or more integers

100

(-5) + 3 + (-2)

-4

200

(-10) + 5 + (-6)

-11

300

6 + (-10) + 1

-3

400

(-13) + 5 + (-6) + 6

-8

500

21 + 10 + (-10) + (-21) + 5

47

Story problems

100

Diesel has 5 dollars. He gave 3 to Emmy. How many dollars does Diesel have now?

2 dollars

200

Heidi went to a lake. She climbed up a rock which was 8 feet tall, and then jumped down 10 feet into the water. If her starting height was 0, what is her height now?

-2

300

Stormy opened a tutoring business. She started with 50 dollars. She spent 20 dollars on supplies, and made 70 dollars from her services. How much money does Stormy have now?

100 dollars

400

Maui went outside in the winter. The weather started at -5 degrees, warmed up 15 degrees, and then cooled off 3 degrees. What is the temperature now?

7 degrees

500

Diego and Aashon went skydiving together. They started on a hill (20 feet tall), went up and jumped 200 feet, and pulled their parachute after 100 feet of free falling. How high up were Diego and Aashon when they pulled their parachute?

120 feet