Adding and Subtracting Integers

Vocab

100

Absolute Value

The distance of a number from zero

200

Integer

The set of whole numbers and their opposites.

300

Opposite

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

400

Additive Inverse

What are two numbers that add up to 0?

500

6 and -6

Opposites

Adding Integers

100

-6 + 2

-4

200

-14 + 7

-7

300

-16 + (-17)

-33

400

How do you find the sum of numbers with different signs

Subtract and take the sign of the bigger number

500

-16+18+-17

-15

Subtracting Integers

100

-4 - 6

-10

200

4 - 9

-5

300

15 - (-7)

22

400

How do you change addition to subtraction?

You keep the first number,  Change the operation to addition, and finally Find the opposite of the second number

500

-8 - ( -3)

5

Mix

100

-6 - 2

-8

200

-10 + 30

20

300

21 - (+5)

16

400

Subtracting a negative is the same thing as...

Adding a positive

500

-10 + (-2) - 5

-17

Word Problems

100

You are 5 dollars in debt. You borrow 12 dollars more. What is the total amount of your debt?

-$17

200

An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane descends 150 feet.  What is the airplane's current height?

2350 feet

300

The record high temperature for Massachusetts is 104 degrees Fahrenheit. The record low is -18 degrees Fahrenheit. What is the difference between high and low?

122 degrees

400

On a cold February morning, Colton checked the temp on his phone and saw that it was 3^oC.                  When he checked again after school, the temperature had dropped 3^oC.                                                 What was the temperature after school? 

-3 -  3 = -6

500

Amanda is playing her new video game, Track Runner.  At first, she earned 20 points for winning a sprint. Then in the next race, she got –25 points when she knocked over most of her hurdles. What is Amanda's total score now? 

-5 points