Binary Operations

Easy Peasy

100

a * b = 3a + b 

Find 4 * 6

18

200

a * b = 3a + b 

Find 5 * 6

21

300

a * b = a + b 

Find -1 * 8

7

400

a * b = 2ab 

Find 2 * 3

12

Moving Mountains

100

1. a * b = 3a + b 

   Find 4 * (6 * 2)

32

200

a * b = 3ab 

Find (1 * 3) * 4

108

300

a * b = a + b 

Find (2 * 3) * 4

9

400

a * b = 4ab 

Find 0 * (1 * 2)

0

Challenge

100

p * q =  p² +  q2

Find 1 * 2

5

200

p * q =  p² q²

Find 1 * 2

4

300

p * q =  p² +  q2

Find 1 * 2 and 2 * 1

Is * Commutative?

5 

Yes * is Commutative 

400

p * q =  p2 +  q2

Find (1 * 2) * 3  and 1 * (2 * 3) 

Is * Associative?

No * is not Associative.