# Associative Property of Multiplication

Associative property of multiplication:

huge color(purple)(a times (b times c)=(a times b) times c)

As with commutative property order is not important.

Indeed, you can make sure on a couple of examples, that it is correct.

Example.

From one side, we have that 3*(4*5)=3*20=60.

From another side, we have that (3*4)*5=12*5=60.

Warning. This doesn't work with division.

However, associative property of multiplication works for negative numbers (in fact, for real numbers) as well.

Example 2. 5 times (3 times (-4))=(5 times 3) times (-4)=-60.

Example 3. (-5.89) times (2.51 times (-3.4))=((-5.89) times 2.51)times(-3.4)=50.26526.

Example 4. (5/8 times 3) times 1/2 =5/8 times (3 times 1/2)=15/16.