Question

which property of addition is shown below?

(a + b + c + d = a + c + b + d)

• identity property
• associative property
• commutative property
• inverse property

Explanation:

⚡ Using what you learned: using properties of operations

Step 1: Analyze the given equation

The equation shown in the image is:

$$ a + b + c + d = a + c + b + d $$

Step 2: Identify the change

Observe the order of the terms on both sides of the equation:

• Left side: \( a, b, c, d \)
• Right side: \( a, c, b, d \)

The positions of \( b \) and \( c \) have been swapped (reordered).

Step 3: Match with the correct property

The property that allows numbers to be added in any order without changing the sum is the commutative property of addition.

Answer:

commutative property