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The Commutative Property Quick Check

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The Commutative Property is a fundamental property in mathematics that applies to addition and multiplication. It states that the order of the numbers does not change the result. Here’s a quick overview:

Commutative Property of Addition

  • Definition: a + b = b + a
  • Example: 3 + 5 = 5 + 3, both equal 8.

Commutative Property of Multiplication

  • Definition: a × b = b × a
  • Example: 4 × 6 = 6 × 4, both equal 24.

Quick Check Questions:

  1. What is the sum of 7 + 2?

    • Now rearrange: what is 2 + 7?

  2. Calculate 9 × 5.

    • What is 5 × 9?

  3. Is it true that 10 + 15 = 15 + 10?

    • Explain your reasoning.

  4. Does 8 × 3 = 3 × 8?

    • Show your work.

Answers:

  1. 7 + 2 = 9, and 2 + 7 = 9 (Commutative Property holds).
  2. 9 × 5 = 45, and 5 × 9 = 45 (Commutative Property holds).
  3. Yes, 10 + 15 = 25 and 15 + 10 = 25 (True).
  4. Yes, 8 × 3 = 24 and 3 × 8 = 24 (Commutative Property holds).

Feel free to ask if you need further clarification or additional practice!