Use the indicated property to write an expression that is equivalent to the following expression. (5 .12).17
((associative property of multiplication)
It is standard practise to use the * to indicate multiplication, so....
(5*12)*7 = 5*(12*7) = 5*12*7
This is the Associate Property for Multiplication
To apply the associative property of multiplication, we can rearrange the order of the numbers being multiplied without changing the value of the expression. This property states that for any three numbers a, b, and c, (ab)c is equal to a(bc).
In the given expression, (5.12).17, we have three numbers: 5, 12, and 17. To apply the associative property of multiplication, we can rearrange the order of these numbers. Let's group 12 and 17 first:
5.(12.17)
Now we can multiply 12 by 17:
5.(204)
The answer is 2045.