Question

match each expression on the left with an equivalent expression on the right. some answer choices on the right will not be used.
$(5 \cdot 3) \cdot 12$
$(7 + 12) + 8$
$5 + 12 + 3$
$3 + 5 + 12$
$2 \cdot 7 \cdot 8$
$(3 + 5) \cdot 12$
$7 + (12 + 8)$
$5 \cdot (3 \cdot 12)$
$2 + (8 \cdot 7)$
$8 \cdot 2 \cdot 7$
click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. your answer will change. need help? watch this video.

Explanation:

Step1: Match associative property of multiplication

$(5 \cdot 3) \cdot 12$ matches $5 \cdot (3 \cdot 12)$

Step2: Match commutative property of addition

$5 + 12 + 3$ matches $3 + 5 + 12$

Step3: Match commutative property of multiplication

$2 \cdot 7 \cdot 8$ matches $8 \cdot 2 \cdot 7$

Step4: Match associative property of addition

$7 + (12 + 8)$ matches $(7 + 12) + 8$

Answer:

• $(5 \cdot 3) \cdot 12$ ↔ $5 \cdot (3 \cdot 12)$
• $5 + 12 + 3$ ↔ $3 + 5 + 12$
• $2 \cdot 7 \cdot 8$ ↔ $8 \cdot 2 \cdot 7$
• $7 + (12 + 8)$ ↔ $(7 + 12) + 8$

Unused right-side expressions: $(3+5) \cdot 12$, $2 + (8 \cdot 7)$