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

Answer:

The commutative property of addition states that two or more numbers can be added in any order, and the results will be same.

Example:

$3+5+8=8+3+5=16$

Similarly, the commutative property of multiplication states that two or more numbers can be multiplied in any order, and the results will be same.

Example:

$3\times4\times10=120$ or $10\times3\times4=120$

Subtraction does not have a commutative property because a - b gives a different result than does b - a.

Also this does not work on divisions as a/b is not equal to b/a.

Answer 2

It is the same as commutative, just flipping the position of the numbers. For multiplication, it is the same. 3x2=2x3. But with division, you are dividing the second number from the first, so it matters what number is first and can affect it heavily.