Integers and Absolute Value

Absolute Value

100

What does absolute value mean?

A number's distance from zero

200

What is the absolute value of -48?

48

300

What is the absolute value of 0?

0

400

Absolute Value is always written as a ______ number.

Positive

500

Put these in order from GREATEST to LEAST.

-12, l4l, l-3l, 7, -4

7, l4l, l-3l, -4, -12 

Adding & Subtracting Integers

100

7 - (-22) = 

29

200

-14 + 5

-9

300

-35 - (-14) =

-21

400

While on vacation in Hawaii, you book an island tour in a helicopter. The helicopter takes off from a rooftop that is 20 meters above sea level. From there you ascend 64 meters to view the volcanos, then descend 75 meters to get a good look at the beaches. After seeing the beaches, you fly back up 36 meters to reach your cruising altitude. What is your cruising altitude?

45 meters

500

A diver is 12 meters below sea level studying the coral reefs. He dives 16 meters more and finds a watch someone must have dropped. He then dives 7 meters to see a school of fish swimming through the reef. On his way back up, he passes an archway that was 10 meters above the school of fish. At what depth did the diver see the archway?

25 meters below sea level

Multiplying Integers

100

8 * (-7) =

-56

200

0 * 2 * (-2) = 

0

300

-52 * (-4) =

208

400

2 * (-2) * 2 * (-2)

16

500

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A student answered 5 questions incorrectly. How many points did the student lose?

-5 points

Dividing Integers

100

16 ÷ 4 =

4

200

16 ÷ (-4)

-4

300

-36 ÷ (-9) ÷ 2

2

400

-54 ÷ 27 ÷ (-2)

1

500

A penalty in Meteor-Mania is -5 seconds. A penalty in Cosmic Calamity is -7 seconds. Yolanda had penalties totaling -25 seconds in a game of Meteor-Mania and -35 seconds in a game of Cosmic Calamity. In which game did Yolanda receive more penalties ?

Received 5 penalties in both games

Integer Rules

100

Rule for adding integers with the SAME SIGN

Add and keep the sign

200

Rule for adding integers with DIFFERENT SIGNS.

Subtract and keep the sign of the larger number

300

What kind of answer would you get from subtracting a positive - positive?

Can be positive or negative, depends on the order.

400

What special rule takes place when you subtract a negative number. Ex.: 3 - (-5)

Double Negative - Bonus points to tell what that you do with a double negative

500

Rule for Multiplying/Dividing integers with different signs

Different signs - always a negative answer