Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What is the commutative property of addition and multiplication?
What is the commutative property of addition and multiplication?
- The result of an operation is always a negative number.
- The order of numbers or variables does not change the result of an operation. (correct)
- The order of numbers or variables changes the result of an operation.
- The result of an operation is always zero.
What is an example of the associative property of multiplication?
What is an example of the associative property of multiplication?
- (2 + 3) × 4
- (3 × 4) × 2 (correct)
- (3 × 4) × (2 × 4)
- (2 × 3) × 4
What is the formula for the distributive property?
What is the formula for the distributive property?
- a × (b × c) = (a × b) × c
- a × (b - c) = a × b - a × c
- a × (b / c) = a × b / a × c
- a × (b + c) = a × b + a × c (correct)
What is an example of the commutative property of addition?
What is an example of the commutative property of addition?
Signup and view all the answers
What is an example of the associative property of addition?
What is an example of the associative property of addition?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Properties of Mathematics
Commutative Property
- The commutative property states that the order of numbers or variables does not change the result of an operation.
- Applies to addition and multiplication:
- a + b = b + a
- a × b = b × a
- Examples:
- 2 + 3 = 3 + 2 = 5
- 4 × 5 = 5 × 4 = 20
Associative Property
- The associative property states that the order in which numbers or variables are grouped does not change the result of an operation.
- Applies to addition and multiplication:
- (a + b) + c = a + (b + c)
- (a × b) × c = a × (b × c)
- Examples:
- (2 + 3) + 4 = 2 + (3 + 4) = 9
- (3 × 4) × 2 = 3 × (4 × 2) = 24
Distributive Property
- The distributive property states that multiplication distributes over addition.
- a × (b + c) = a × b + a × c
- Examples:
- 2 × (3 + 4) = 2 × 3 + 2 × 4 = 14
- 5 × (2 + 1) = 5 × 2 + 5 × 1 = 15
Properties of Mathematics
Commutative Property
- The commutative property states that the order of numbers or variables does not change the result of an operation.
- Applies to addition: a + b = b + a
- Applies to multiplication: a × b = b × a
- Examples: 2 + 3 = 3 + 2 = 5, 4 × 5 = 5 × 4 = 20
Associative Property
- The associative property states that the order in which numbers or variables are grouped does not change the result of an operation.
- Applies to addition: (a + b) + c = a + (b + c)
- Applies to multiplication: (a × b) × c = a × (b × c)
- Examples: (2 + 3) + 4 = 2 + (3 + 4) = 9, (3 × 4) × 2 = 3 × (4 × 2) = 24
Distributive Property
- The distributive property states that multiplication distributes over addition.
- Formula: a × (b + c) = a × b + a × c
- Examples: 2 × (3 + 4) = 2 × 3 + 2 × 4 = 14, 5 × (2 + 1) = 5 × 2 + 5 × 1 = 15
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
