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If a, b and c are rational numbers then a x (b x c) = (a x b) x c

How can we use the Commutative and Associative Properties to transform the expression 25 x (-16 x -4) into (25 x -4) x -16?. In this lesson you will learn to solve multiplication problems by using the Commutative and Associative P roperties. Associative Property of Multiplication.

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If a, b and c are rational numbers then a x (b x c) = (a x b) x c

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  1. How can we use the Commutative and Associative Properties to transform the expression 25 x (-16 x -4) into (25 x -4) x -16?

  2. In this lesson you will learn to solve multiplication problemsby using the Commutative and Associative Properties.

  3. Associative Property of Multiplication If a, b and c are rational numbers then a x (b x c) = (a x b) x c

  4. Commutative Property of Multiplication If aand b are rational numbers then a x b = b x a

  5. 25 x (-16 x -4) = (25 x -4) x -16

  6. Multiply inside the parentheses • Multiply

  7. Apply Commutative Property • Apply Associative Property Multiply inside the parentheses • Multiply

  8. Multiply first two numbers • Multiply

  9. Apply Associative Property • Apply Associative Property • Apply Commutative Property

  10. Multiply inside the parentheses • Multiply • Multiply

  11. Multiply inside the parentheses • Multiply

  12. Apply Commutative Property • Apply Associative Property Multiply what’s in the parentheses • Multiply

  13. Multiply inside the parentheses • Multiply

  14. Apply Commutative Property • Apply Associative Property Multiply inside the parentheses • Multiply

  15. In this lesson you have learned to solve multiplication problems by using the Commutative and Associative Properties.

  16. 1. Using the Commutative and Associative Properties, solve the following problem:

  17. 2. Using the Commutative and Associative Properties, solve the following problem:

  18. 1. Show each step and name the properties that transform 19 x -4 x 5 to 5 x -4 x 19.

  19. 2. Use the commutative and associative properties to transform a x b x x d into d x c x b x a.

  20. 1. Using the associative property, solve the following problem: 2. Using the associative property, solve the following problem:

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