Operations with Rational Numbers

Grab Bag

100

Part 1 - what is the sign of the sum of 2 negative numbers? 

Part 2 - what is the sign of the sum of 2 positive numbers?

Part 1- A negative

Part 2- A positive

200

How can you know what sign will be for the sum of a negative and a positive number?

The sum takes the sign of the number with the larger absolute value.

300

Subtraction is the same as......

adding the opposite!

400

order the numbers from least to greatest |14/2| , |-11/2| , |4.3|

|4.3| , |-11/2| ,  |14/2|

OR

|4.3| , |-5.5| ,  |7|

4.3 , 5.5 ,  7

500

use > = or < to compare -|4.1| |-9/2|

-|4.1| < |-9/2|

MMM Math

100

-2(-8 + -2) + 10

30

200

-0.5(10.5 +6 - 0.5)

-8

300

Factor a -7 out of this expression:

(49 + 70 - 7)

-7(-7 + -10 +1)

OR 

-7(-7 - 10 +1)

400

Evaluate if c= -1 and y = -3

(2y) + c - (2c)

-6 + -1 - (-2)

-6 + -1 + 2

-7 + 2

-5

500

Evaluate if x = 1 and y =-1

-2(10) + (x - 11) + y³

-20 +-10 + -1

-31

Change to Addition

100

Change to addition and solve:

-8 - -5 =

-8 + 5 = -3

200

Change to addition and solve:

7.7 - 4

7.7 + (-4) = 3.7

300

Change to addition and solve:

-1/2 - 1/2 

-1/2 + - 1/2 = -1

400

Change to addition and solve:

187 - 240 

187 + -240 = -53

500

Change to addition and solve:

-3.45 - (5 x -3) 

-3.45 - -15

-3.45 + 15 = 11.55

Multiplication

100

Evaluate if r = -2

(-10)(r+2)(-4)(-8)

0

200

List the four multiplication rules:

1. Positive x positive =

2. Negative x negative =

3. Positive x negative =

4. Negative x positive =

1. Positive x positive = positive

2. Negative x negative =positive

3. Positive x negative = negative

4. Negative x positive = negative

300

Keep this as a fraction!

(-1/2)(3/9)

-3/18 or -1/6

400

Evaluate if r = -2

(-10)(2r)(r+1)

(-10)(-4)(-1)=-40

500

1. Find the product of (-1)⁶

2. Find the product of (-1)¹³³

1. 1

2. -1

Division

100

List the four division rules:

1. Positive / positive =

2. Negative / negative =

3. Positive / negative =

4. Negative / positive =

1. Positive / positive = positive

2. Negative / negative = positive

3. Positive / negative = negative

4. Negative / positive = negative

200

Find the percent error:

The airline estimated that the flight would take 37 minutes. However, the actual flight took 50 minutes.

(50 - 37)/ 50 = 26% error

300

Find the percent error:

Harvest Hall estimated that 156 students would eat the soup. However, only 150 students actual ate the soup. 

(150-156)/150 = -4% error

400

Evaluate if y=-8

(-10 + 98)/y

-11

500

Evaluate if y= 5

(-100 + y²)/5

-15