If a, b and c are rational numbers then a x (b x c) = (a x b) x c
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Transcript of If a, b and c are rational numbers then a x (b x c) = (a x b) x c
![Page 1: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/1.jpg)
How can we use the Commutative and Associative
Properties to transform the expression 25 x (-16 x -4) into
(25 x -4) x -16?
![Page 2: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/2.jpg)
In this lesson you will learn to solve multiplication problems
by using the Commutative and Associative Properties.
![Page 3: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/3.jpg)
Let’s Review
If a, b and c are rational numbers then a x (b x c) = (a x b) x c
Associative Property of Multiplication
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Let’s Review
If a and b are rational numbers then a x b = b x a
Commutative Property of Multiplication
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A Common Mistake
25 x (-16 x -4) = (25 x -4) x -16
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Core Lesson
Multiply inside the parentheses
Multiply
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Core Lesson
Apply Associative Property
Multiply inside the parenthesesMultiply
Apply Commutative
Property
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Core Lesson
Multiply
Multiply first two numbers
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Core Lesson
Apply Associative Property
Apply Associative Property
Apply Commutative Property
![Page 10: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/10.jpg)
Core Lesson
Multiply inside the parentheses
Multiply
Multiply
![Page 11: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/11.jpg)
Core Lesson
Multiply inside the parentheses
Multiply
![Page 12: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/12.jpg)
Core Lesson
Apply Associative Property
Multiply what’s in the parentheses
Multiply
Apply Commutative
Property
![Page 13: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/13.jpg)
Core Lesson
Multiply
Multiply inside the parentheses
![Page 14: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/14.jpg)
Core Lesson
Apply Associative Property
Multiply inside the parentheses
Multiply
Apply Commutative
Property
![Page 15: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/15.jpg)
In this lesson you have learned to solve multiplication problems by using the
Commutative and Associative Properties.
![Page 16: If a, b and c are rational numbers then a x (b x c) = (a x b) x c](https://reader033.fdocuments.us/reader033/viewer/2022061610/56815ab5550346895dc86c0c/html5/thumbnails/16.jpg)
Guided Practice
1. Using the Commutative and Associative Properties, solve the following problem:
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Guided Practice
2. Using the Commutative and Associative Properties, solve the following problem:
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Extension Activities
1. Show each step and name the properties that transform 19 x -4 x 5 to 5 x -4 x 19.
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Extension Activities
2. Use the commutative and associative properties to transform a x b x x d into d x c x b x a.
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Quick Quiz
1. Using the associative property, solve the following problem:
2. Using the associative property, solve the following problem: