Math Problem Statement
Solution
The problem in the image involves simplifying an algebraic expression and identifying the mathematical properties used at each step (such as associative, commutative, or distributive).
Given Expression:
Simplification steps:
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Step 1: Apply the distributive property: Multiply 5 by both terms inside the parentheses: The distributive property was used to expand the parentheses.
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Step 2: Use the commutative property of addition to rearrange terms: The commutative property allows rearranging terms without changing their sum.
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Step 3: Use the associative property of addition to group the like terms: The associative property is used to group like terms.
Summary:
- Step 1 uses the distributive property.
- Step 2 uses the commutative property.
- Step 3 uses the associative property.
Would you like further details or explanations?
Here are 5 related questions you could explore:
- What is the difference between the associative and commutative properties?
- Can you give an example where the distributive property simplifies a more complex expression?
- How does the order of operations affect simplifications involving these properties?
- What happens if you apply the properties in a different order?
- How do these properties apply to multiplication versus addition?
Tip: The distributive property is a powerful tool when simplifying expressions involving both addition and multiplication.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Commutative Property
Associative Property
Formulas
Distributive Property: a(b + c) = ab + ac
Commutative Property of Addition: a + b = b + a
Associative Property of Addition: (a + b) + c = a + (b + c)
Theorems
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Suitable Grade Level
Grades 6-8