Questions and Answers
What is the additive identity?
What is an equation?
a mathematical sentence whose verb is 'equal' (=)
What is the multiplicative identity?
What is an open sentence?
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What is the symmetric property?
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Zero is _____ a divisor.
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Which sentence demonstrates the multiplicative identity?
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What is the expression for x · 1 + x/1?
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Which of the following represents 'the difference between a number and eight is twenty-two'?
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Which of the following represents 'a number less ten is twenty-two'?
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Which of the following represents 'eight more than twice a number is fifty'?
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Which of the following represents 'nine less than three times a number is forty'?
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Which of the following represents 'the difference between ten and a number is the sum of eight and a number'?
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Study Notes
Mathematical Terms and Concepts
- Additive Identity: The number 0 serves as the additive identity in real numbers, meaning any number added to 0 remains unchanged.
- Equation: A mathematical expression indicating equality, characterized by the equal sign (=).
- Multiplicative Identity: The number 1 acts as the multiplicative identity in real numbers; multiplying any number by 1 leaves it unchanged.
- Open Sentence: An equation involving one or more variables, making it true or false depending on the value of the variable(s).
- Symmetric Property: Refers to the principle that if an equation states a = b, then it can also be expressed as b = a by interchanging its sides.
Important Considerations
- Zero as a Divisor: Zero cannot serve as a divisor in any mathematical operation, indicating it cannot be used to divide another number, as this is undefined.
Practical Examples
- Demonstration of Multiplicative Identity: The equation 1/2 · 1 = 1/2 exemplifies the concept of the multiplicative identity, showing multiplication by 1 does not affect the value.
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Expression of Algebraic Statements:
- The phrase "the difference between a number and eight is twenty-two" translates to the equation N - 8 = 22.
- The statement "a number less ten is twenty-two" represents the equation N - 10 = 22.
- "Eight more than twice a number is fifty" can be expressed as 8 + 2N = 50.
- The phrase "nine less than three times a number is forty" converts into the equation 3N - 9 = 40.
- "The difference between ten and a number is the sum of eight and a number" is represented by the equation 10 - N = 8 + N.
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Description
Test your knowledge of math concepts with these flashcards focusing on open sentences and key terms. Each card provides definitions for core mathematical terms, helping you understand important properties and identities. Perfect for students looking to enhance their math vocabulary.
