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Questions and Answers
What is the definition of Numerical Expressions?
What is the definition of Numerical Expressions?
- A mathematical phrase made up of numbers and operations. (correct)
- An expression that contains at least one variable.
- A rule for evaluating expressions.
- Is the property that you can add and multiply numbers in any order.
The Order of Operations is a rule for evaluating expressions.
The Order of Operations is a rule for evaluating expressions.
True (A)
What does the Commutative Property state?
What does the Commutative Property state?
- You can add and multiply numbers in any order. (correct)
- A value that does not change.
- You can group the numbers together in any combination.
- The sum of 0 and any number is the number.
What is the Associative Property?
What is the Associative Property?
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The Identity Property states that the sum of 0 and any number is the number.
The Identity Property states that the sum of 0 and any number is the number.
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What does the Distributive Property entail?
What does the Distributive Property entail?
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What is a Variable?
What is a Variable?
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What is a Constant?
What is a Constant?
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What is an Algebraic Expression?
What is an Algebraic Expression?
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What does it mean to Evaluate an expression?
What does it mean to Evaluate an expression?
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What is a Term in an expression?
What is a Term in an expression?
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What is a Coefficient?
What is a Coefficient?
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Study Notes
Algebraic Expressions Study Notes
- Numerical Expressions: Composed of numbers and operations, representing a mathematical phrase.
- Order of Operations: A systematic rule used for evaluating mathematical expressions to ensure consistent results.
- Commutative Property: Permits the rearrangement of numbers in addition or multiplication without affecting the outcome.
- Associative Property: Allows the regrouping of numbers in addition or multiplication, facilitating various combinations for calculations.
- Identity Property: States that adding 0 to any number leaves it unchanged, and multiplying any number by 1 also keeps it the same.
- Distributive Property: Involves distributing a multiplier to each addend within a sum, ensuring equivalent results when applying multiplication.
- Variable: A symbol, typically a letter, that stands in for an unknown number, allowing for flexible expression in algebra.
- Constant: A fixed value that remains unchanged regardless of other variables in an expression.
- Algebraic Expression: A mathematical statement incorporating at least one variable, demonstrating relationships between numbers and operations.
- Evaluate: The process of determining the numerical value of an expression by substituting variables with numbers and performing calculations.
- Term: Indicates distinct elements within an expression that are either added or subtracted; can consist of numbers, variables, or their products.
- Coefficient: Refers to the numerical factor that multiplies a variable in an algebraic expression, influencing the term's value directly.
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