What property of addition is shown by 5+2=2+5

Associative
Distributive
commutative or
Identity

http://www.algebra.com/algebra/homework/Distributive-associative-commutative-properties/change-this-name23395.lesson

identity property

The property of addition that is shown by the equation 5 + 2 = 2 + 5 is the commutative property.

The commutative property of addition states that the order in which numbers are added doesn't affect the sum. In other words, when adding two numbers, you can switch their positions and still get the same result.

To understand why 5 + 2 = 2 + 5 is an example of the commutative property, we can analyze it step by step:

1. Start with the given equation: 5 + 2 = 2 + 5.

2. According to the commutative property, we can switch the positions of the two numbers on either side of the addition sign without changing the sum. So, we can rewrite the equation as: 2 + 5 = 5 + 2.

3. By comparing the rewritten equation with the original one, we can see that they are identical. Therefore, the equation 5 + 2 = 2 + 5 satisfies the commutative property of addition.

It is worth noting that the commutative property only applies to addition and multiplication, not to subtraction or division.

Commutative means you just switch the numbers around and get the same answer.