Which of the following illustrate the commutative property?
Select all that apply.
3 + 4 + 6 = 3 + 6 + 4
3 x ( 4 x 6) = (3 x 4) x 6
2 - 4 - 5 = 4 - 2 - 5
9 x 2 x 7 = 7 x 9 x 2
2 +3 + 1 = 3 + 1 + 2
Answer choices:
(3 + 4 + 6 = 3 + 6 + 4
9 x 2 x 7 = 7 x 9 x 2
2 + 3 + 1 = 3 + 1 + 2
5 + 2 - 4 = 5 - 4 + 2)
The answer choices that illustrate the commutative property are:
(3 + 4 + 6 = 3 + 6 + 4)
(9 x 2 x 7 = 7 x 9 x 2)
(2 + 3 + 1 = 3 + 1 + 2)
how did you get this answer
I determined the answer by checking if the order of the numbers can be changed without changing the result of the operation. The commutative property states that for addition and multiplication, changing the order of the numbers will not affect the result. Therefore, any equations where the order of the numbers can be changed are examples of the commutative property.
In the given answer choices, we can see that:
1) 3 + 4 + 6 = 3 + 6 + 4 - The order of the numbers has been changed in this equation, but the result remains the same.
2) 9 x 2 x 7 = 7 x 9 x 2 - The order of the numbers has been changed in this equation, but the result remains the same.
3) 2 + 3 + 1 = 3 + 1 + 2 - The order of the numbers has been changed in this equation, but the result remains the same.
Therefore, these equations illustrate the commutative property.