F4 Math Binary Operations

What is the commutative property of multiplication?

• For any numbers a and b, a x b = b x a

• For any numbers a, b, and c, a x (b + c) = ab + ac

• For any numbers a, b, and c, a x (b x c) = (a x b) x c d.

• For any numbers a, b, and c, a x b = a x c

(5 + 3) + 2 = 5 + (3 + 2)

• Commutative  Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Tags

CCSS.6.EE.A.3

If $p\infty q\ =\ 2p\ +q$ , calculate the value of  $3\infty4$  .

• 10

• 11

• 24

• 16

If $p\infty q\ =\ \frac{pq}{p}$ , calculate the value of  $\left(4\infty3\right)\infty2$  .

• 10

• 12

• 2

• 6

If  $a\ \Delta\ b\ =\ a^2b$  , calculate the value of  $-2\ \Delta\ 3$  .

• -12

• 12

• 6

• -6

Given  $a\ \Delta\ b\ =\ b\ +\ 3a\ -ab^2$ and  $3\ \Delta\ -2\ =\ -5$  , which of the following will you have to calculate to determine if the operation  $\Delta$  is commutative? 

•  $-2\Delta3$  
  

•  $3\Delta-2$  

•  $-3\Delta2$  
  

•  $3\Delta2$  
  

An operation  $\perp$  is defined by  $x\ \perp\ y\ =\ 2xy\ +\ x\ -\ y$  .  Find the value of  $2\ \perp\ \left(1\ \perp\ 2\right)$  .  Write your answer in the space provided.