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Like Signs

100

Turn this equation from subtraction to addition

-8 - 5

-8 + (-5)

200

Turn this equation from subtraction to addition:

22 - (-8)

22 + 8

300

Change the equation to addition and solve:

- 20 - 7 - 10

-20 + (-9) + (-10) = -39

400

Change the equation to addition and solve:

30 + 15 + 16 - (-15) - (-10)

30 + 15 + 16 + 15 + 10 = 86

500

Change the equation to addition and solve:

- 15 - 6 - 20 - 15 - 30 - 15

-15 + (-6) + (-20) + (-15) + (-30) + (-15) = -101

Opposite Signs

100

When combining 2 integers with opposite signs, should you use addition or subtraction?

Subtraction

200

Change the following equation to addition:

5 -7 + 15 

5 + (-7) + 15

300

Change the following equation to addition and solve:

12 - 7 + 8 - 15

12 + (-7) + 8 + (-15) = -2

400

Change the following equation to addition and solve:

-12 - (-12) + 14 + 10 - 14 

-12 + 12 + 14 + 10 + (-14) = 10

500

1.Change the following equation to addition.

2. Use the communicative property to reorder integers so that like signs are together

3. Then, use the associative property to bracket equations with like signs.

-a + b - c + d - (-e) - f

-a + b + (-c) + d + e + (-f)

-a + (-c) + (-f) + b + d + e

[-a + (-c) + (-f)] + [b + d + e]

Change

100

What is the formula for finding the change between 2 integers?

Final ____ - Intial ______ = Change

200

the average temperature in January was 15 degrees F.  The average temperature in February was 22 degrees F.  Which integer represents the final temperature?

22 degrees F is the final temperature

300

Bob had $70 in his bank account at the start of the week.  Later in the week he went on shopping spree and had $15 left in his account.  What is the change in Bob's bank account?

15 - 70 = 15 + (-70) = -55

400

Kim dove into the pool from the high dive board 20 ft from the surface of the pool.  She ended her dive 35 feet below the surface of the water.  What was the change in elevation?

-35 - 20 = -35 + (-20) = -55

500

The Chicago Bears began the second half down 37 points.  By the end of the game they were up by 21 points.  What was the change in the Bear's points from the half to the end of the game?

21 - (-37) = 21 + 37 = 58

Properties

100

Name the property demonstrated here:

a + b = b + a

Communicative

200

Name the property represented here:

(a + b) + c = a + (b + c)

associative

300

Describe the property that is represented here:

8 + (-4) + 7 = 8 + 7 + (-4)

Communicative

400

What property is represented here?"

-7 + (-6) + (-9) + 2 + 3 

[-7 + (-6) + (-9)] + [2 + 3]

Associative

500

Rewrite this expression using both the communicative and associative properties to order and combine like signs 

-2 + 3 + (-6) + 2 + (-8)

[-2 + (-6) + (-8)] + [3 + 2]

Integers

100

What is the additive inverse of -12?

12

200

What is the absolute value of -100?

100

300

What is the sum of all additive inverse pairs?

0

400

If the temperature changes from - 3 to - 15, is the change positive or negative?

negative

500

What is the name for the value of an integer relative to its distance from zero, regardless of the integer's sign?

Absolute value