Combining 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

|-6|

Absolute value of -6 = 6

500

6 and -6

Opposites

Adding Integers

100

-5 + 9

4

200

-12 + 5

-7

300

-16 + 17

1

400

Adding a negative is the same thing as...

Subtraction

500

-6 + 7 -1

0

Subtracting Integers

100

-4 - 6

-10

200

4 - 11

-7

300

15 - -7

22

400

-11 - -3

-8

500

-10 - 11 - -3

-18

Mix

100

-2 - 3

-5

200

-10 + 30

20

300

21 - +5

16

400

Subtracting a negative is the same thing as...

Addition

500

-10 -2 - 5

-17

Word Problems

100

The temperature was -8 degrees at midnight and then decreased 13 degrees by morning.  What was the temperature in the morning?

-8 - 13 = -21 degrees

200

A scuba diver was 38 feet below the surface.  He swam up 12 feet.  Where is he now?

-26 feet or 26 feet below the surface

300

A football team gained 14 yards on the play and then lost 20 yards on the second.  What was the total change in yards?

14 - 20 = -6 yards

400

Maggie currently has a balance of -$15 in her bank account.  She deposits $11 into her account. How much money does she have in her account?

-15+11=-$4

500

A bird starts 13 feet above sea level and then descends 15 feet to catch a fish.  The bird then flies 8 feet to sit on a rock.  How high is the bird?

13 - 15 + 8 = 6 feet