Question

find the result graphically in three different ways, using the commutative property of addition. click and drag the arrows to represent each term. type in the common result.
$2 + 7 + (-6)$

Explanation:

Step1: Calculate original expression

$2 + 7 + (-6) = 9 - 6 = 3$

Step2: Use commutative property (swap 2 and 7)

$7 + 2 + (-6) = 9 - 6 = 3$

Step3: Use commutative property (swap 2 and -6)

$-6 + 7 + 2 = 1 + 2 = 3$

Step4: Graphical summary (number line)

For each form:

1. First expression: Start at 0, move right 2, right 7, left 6 → end at 3.
2. Second expression: Start at 0, move right 7, right 2, left 6 → end at 3.
3. Third expression: Start at 0, move left 6, right 7, right 2 → end at 3.

Answer:

The three equivalent expressions (using commutative property) and their common result are:

1. $2 + 7 + (-6) = 3$
2. $7 + 2 + (-6) = 3$
3. $-6 + 7 + 2 = 3$

Graphically, all three sequences of moves on the number line end at the point 3.