Question

Think about the commutative property of real-number operations as it applies to addition and subtraction of functions. How do you think this property might extend to multiplication and division of functions?

Answer 1

-Variables represent real numbers,so they should have their properties.
-Commutative property applies for multiplication.
-Commutative property does not apply for division.

Answer 2

The commutative property applies to addition but not subtraction. It states that we can add numbers in any order and get the same answer. However if we write a subtraction problem as addition of negatives, this means that we can use the commutative property.

The commutative property also states that we can multiply numbers in any order. This does not work with division; however, if we write division as multiplication of fractions, the commutative property would apply.