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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?

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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:

[tex]3+5+8=8+3+5=16[/tex]

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:

[tex]3\times4\times10=120[/tex] or [tex]10\times3\times4=120[/tex]

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.

The commutative property doesn't work for subtraction and division but it works for addition and multiplication.

       This deals with commutative property in arithmetic involving real numbers.

  • Now, the commutative property of addition states that any amount of numbers can be added in any order and yet the result will still remain the same.

  • The commutative property doesn't work with subtraction because one can get different results if the order of subtraction is changed. For example, we have; 7 - 5 = 2

If we change the order to 5 - 7, we will get -2. Thus, this commutative property doesn't work with subtraction.

  • The commutative property of multiplication states that any amount of numbers can be multiplied in any order and yet the result will still remain the same.

  • Whereas in division, this commutative property cannot work because like we see in subtraction, if we change the order of division, the result will be different. For example, if we have; 12 ÷ 3 = 4

If we change the order, we will get:

3/12 = 1/4 which is a different result.

        In conclusion, the commutative property doesn't work for subtraction and division but it works for addition and multiplication.

Read more at; brainly.com/question/2475734

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