Operations with Rational Numbers

Add

100

(1 2/3) + (- 2 1/2 ) 

- 5/6  

200

- 6.2 + 3.1

- 3.1

300

-6 3/4 + 1 1/6

- 5 7/12

400

7.02 + ( - 9 )

- 1.98

500

12.02 + ( - 18 7/8 )

- 6.855  or  

- 6 171/200

Subtract

100

3 5/8 - ( - 1 1/12)

4 17/24

200

- 13.09 - ( - 10.1)

-2.99

300

-7 1/3 - 3 1/2

-10 5/6

400

-13.3 + 1 5/8

-11.675  or  

27/40

500

5 1/6  -  10.5

- 5 1/3

Multiply

100

(4/5)(-1 2/3)

- 1 1/3

200

4 x (-2.09)

-8.36

300

(-4 3/5)(-2 1/46)

9 3/10

400

(-4 1/5)(1.5)

-6.3 or -6 3/10

500

(3/8)(-2/9)(-2.7)

9/40

Divide

100

(-1 1/5)/(4/9)

-2 7/10 or -2.7

200

(1.809)/(-0.3)

-6.03

300

(-2 1/6)/(-3 1/4)

2/3

400

(-2.5)/(1 1/5)

-3

500

(1/6 - 4/9)/(2/3 + (-1/2)

-1 2/3

Properties

100

2 + 3 = 3 + 2

Commutative of Addition

200

(1/3)(1) = 1/3

Identity of Multiplication

300

4+ ( 5 + 6 )  = ( 4 + 5 ) + 6

Associative of Addition

400

(-9)(0) = 0

Zero Property

500

8x - 10  =  2(4x - 5)

Distributive Property