State the property of real numbers that is being illustrated. \( (9 \cdot 5) \cdot 8=9 \cdot(5 \cdot 8) \) Choose the correct answer below. commutative property of multiplication associative property of multiplication multiplication property of zero multiplicative identity multiplicative inverse property
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The Deep Dive
The property illustrated in the equation \( (9 \cdot 5) \cdot 8 = 9 \cdot (5 \cdot 8) \) is the associative property of multiplication. This property states that when multiplying three or more numbers, the way in which the numbers are grouped does not affect the product. To have some fun with numbers, think of them as friends at a party! Whether they choose to group together in one way or another, they all have a blast multiplying their energy (or value) together. It’s all about teamwork, and no matter how they pair up, the fun (or result) stays the same!
