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Questions and Answers
What is the additive identity?
What is the additive identity?
- 1
- 0 (correct)
- 2
- None of the above
What is an equation?
What is an equation?
a mathematical sentence whose verb is 'equal' (=)
What is the multiplicative identity?
What is the multiplicative identity?
- 0
- 1 (correct)
- 2
- None of the above
What is an open sentence?
What is an open sentence?
What is the symmetric property?
What is the symmetric property?
Zero is _____ a divisor.
Zero is _____ a divisor.
Which sentence demonstrates the multiplicative identity?
Which sentence demonstrates the multiplicative identity?
What is the expression for x · 1 + x/1?
What is the expression for x · 1 + x/1?
Which of the following represents 'the difference between a number and eight is twenty-two'?
Which of the following represents 'the difference between a number and eight is twenty-two'?
Which of the following represents 'a number less ten is twenty-two'?
Which of the following represents 'a number less ten is twenty-two'?
Which of the following represents 'eight more than twice a number is fifty'?
Which of the following represents 'eight more than twice a number is fifty'?
Which of the following represents 'nine less than three times a number is forty'?
Which of the following represents 'nine less than three times a number is forty'?
Which of the following represents 'the difference between ten and a number is the sum of eight and a number'?
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.
- 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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