Adding & Subtracting Rational Numbers

Properties & Number Lines

100

What property of addition is shown? 

(3+8)+2 = 3+(8+2)

Associative Property of Addition

200

Write the addition equation shown on a number line that starts at -4 and moves 6 units to the right. 

-4+6=2

300

What property states that changing the order of addends does not change the sum? 

5+8=8+5

Commutative Property of Addition

400

Write an addition equation for a number line starting at 3 and then moving left 7 units.

3+(-7)=-4

Sign Checks

100

Is the value of -8 - 5 positive or negative? 

Negative (-13) 

200

Is the solution to -6 - 4 +15 positive or negative? 

Positive (5) 

300

Is the solution to -9 - (-12) + (-5) positive or negative? 

Negative (-2) 

400

is -15.8 + 20.2 positive or negative? 

Positive (4.4)

Rational number problems

100

Evaluate: 

-15.5 + (-4.5)

-20

200

Evaluate: 

8.4 - (-3.2)

11.6

300

Evaluate: 

-2/5 + 4/5

2/5

400

Evaluate: 

-1/3 - 1/2

-5/6

Multi-Step

100

Evaluate: 

-10 +18 - 5

3

200

Evaluate: 

15 - 28 + 12 - 8

-9  

300

Evaluate: 

-14.8 - (-3.6) + (-12)

-23.2

400

Evaluate: 

-2 1/4 + 5 3/4 - (-2.25) 

5.75 or 5 3/4

Final Jepordy

100

A trail mix recipe calls for 1 3/4 cups of raisins. The recipe requires 3/8 cup less pecans than raisins and 7/8 cup more granola than raisins. How many cups of ingredients are in this recipe?

5 3/4 cups total 

Raisins: 1 6/8

Pecans: 1 3/8

Granola: 2 5/8

1 6/8 + 1 3/8 + 2 5/8 = 5 3/4 cups total