Case Study

Name the property shown and write its formula using aa, bb, and cc.

Case context: A student changes (25)3(2 \cdot 5) \cdot 3 to 2(53)2 \cdot (5 \cdot 3). The grouping changes, but the product stays the same.

Question: Name the property shown and write its formula using aa, bb, and cc.

Sample answer: This is the associative property of multiplication: (ab)c=a(bc)(a \cdot b) \cdot c = a \cdot (b \cdot c).

Key points:

  • Associative property of multiplication
  • Only the grouping changes
  • (ab)c=a(bc)(a \cdot b) \cdot c = a \cdot (b \cdot c)

Rubric: The answer must name the associative property of multiplication and give the correct formula.

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Updated 2026-08-30

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