Identify the property of real numbers shown in each situation.

Question

The Cost of one item sold for $14.50 is $14.50. Identify the property of real numbers shown in each solution.

Answer 1

Cost of n items = (number of items)(cost per item)

 

So, the cost of 1 item = (1)(14.50) = 14.50, by the identity property of multiplication (also known as the multiplication property of 1).  

Answer 2

One item is sold for $14.50

 

Two items are sold for twice the price of one item  ---->    2(14.50)

 

Three items are sold for three times the price of one item  ---->    3(14.50)

 

Four items are sold for four times the price of one item  ---->    4(14.50)

 

 

We are distributing the varying number of items into the price of one item to find the cost of varying quantities.  I would say we are using distributive property.