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Questions and Answers
What is the commutative property of addition and multiplication?
What is the commutative property of addition and multiplication?
What is an example of the associative property of multiplication?
What is an example of the associative property of multiplication?
What is the formula for the distributive property?
What is the formula for the distributive property?
What is an example of the commutative property of addition?
What is an example of the commutative property of addition?
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What is an example of the associative property of addition?
What is an example of the associative property of addition?
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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
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Description
Learn about the commutative and associative properties of mathematics, including how they apply to addition and multiplication operations.
