identify the property (x+3) -2 =(3+x) -2 commutative, associative, distributive?
To identify the property in the equation (x+3) - 2 = (3+x) - 2, we need to examine the properties of addition and subtraction.
1. Commutative Property: This property states that the order of addition or multiplication does not affect the result. In other words, changing the order of the operands does not change the outcome. For example, a + b = b + a.
2. Associative Property: This property states that the grouping of the numbers being added or multiplied does not affect the result. In other words, changing the grouping of the operands does not change the outcome. For example, (a + b) + c = a + (b + c).
3. Distributive Property: This property describes the relationship between addition and multiplication. It states that when a number is multiplied by a sum or difference, it can be distributed to each term inside the parentheses. For example, a * (b + c) = (a * b) + (a * c).
Now, let's analyze the given equation: (x+3) - 2 = (3+x) - 2.
If we simplify both sides, we have: x + 3 - 2 = 3 + x - 2.
Since both sides are already in their simplest form, we can identify the property exhibited in this equation by comparing the expressions.
In this case, we can see that the order of the terms changes on both sides of the equation. Earlier, x was added to 3 on the left side, while on the right side, 3 was added to x. Therefore, the property used in this equation is the Commutative Property of addition, as the order of addition was reversed without affecting the result.