Practice!

Sample Problem

In what order are we applying the properties of multiplication in the following sequence of steps?

( 2u ) × 0.5 = 0.5 × ( 2u )

= ( 0.5 × 2 ) × u

= 1 × u

= u

Solution

First, we are switching the order in which this expression is being evaluated, which is the commutative property. Next, we regroup the expression by moving the parentheses, which is the associative property. Finally, we are multiplying by 1, which is the identity property.