Question
Seventeen is eight more than number which are true select four. A. The word is means equal b. A number is the constant c. Expression because it’s written as a complete sentence d. Equation because it’s written as a complete sentence e. Expression because there’s no word meaning equals f. Operation is addiction g. Equation because two expressions are set equal to each other
Answers
GPT-4o mini
To analyze the statement "Seventeen is eight more than a number," let's break it down according to the provided options:
1. **A. The word "is" means equal**: This is true. In mathematics, "is" often denotes equality.
2. **B. A number is the constant**: This is not correct. A number, in this context, is a variable and not a constant.
3. **C. Expression because it’s written as a complete sentence**: This is not correct. The phrase describes a relationship that can be expressed mathematically, but it itself is not strictly an expression.
4. **D. Equation because it’s written as a complete sentence**: This is partially true. This statement can be expressed as an equation (e.g., \( x + 8 = 17 \)), but writing it as a complete sentence alone does not make it an equation.
5. **E. Expression because there’s no word meaning equals**: This is not true, as the inclusion of "is" implies an equality.
6. **F. Operation is addition**: This is true because the statement indicates that a number plus eight equals seventeen.
7. **G. Equation because two expressions are set equal to each other**: This is true because the statement can be framed as an equation where "a number plus eight" is set equal to seventeen.
Based on this breakdown, the four true statements are:
- **A. The word "is" means equal.**
- **F. Operation is addition.**
- **G. Equation because two expressions are set equal to each other.**
- **D. Equation because it’s written as a complete sentence.** (While this option is not perfectly accurate in the mathematical sense, it can be considered true in the context of the sentence structure.)
However, if we are strictly adhering to what constitutes a mathematical representation, I would select A, F, and G as the most accurate and relevant. If a fourth option is absolutely required, D could be included, but it may require more clarification.
1. **A. The word "is" means equal**: This is true. In mathematics, "is" often denotes equality.
2. **B. A number is the constant**: This is not correct. A number, in this context, is a variable and not a constant.
3. **C. Expression because it’s written as a complete sentence**: This is not correct. The phrase describes a relationship that can be expressed mathematically, but it itself is not strictly an expression.
4. **D. Equation because it’s written as a complete sentence**: This is partially true. This statement can be expressed as an equation (e.g., \( x + 8 = 17 \)), but writing it as a complete sentence alone does not make it an equation.
5. **E. Expression because there’s no word meaning equals**: This is not true, as the inclusion of "is" implies an equality.
6. **F. Operation is addition**: This is true because the statement indicates that a number plus eight equals seventeen.
7. **G. Equation because two expressions are set equal to each other**: This is true because the statement can be framed as an equation where "a number plus eight" is set equal to seventeen.
Based on this breakdown, the four true statements are:
- **A. The word "is" means equal.**
- **F. Operation is addition.**
- **G. Equation because two expressions are set equal to each other.**
- **D. Equation because it’s written as a complete sentence.** (While this option is not perfectly accurate in the mathematical sense, it can be considered true in the context of the sentence structure.)
However, if we are strictly adhering to what constitutes a mathematical representation, I would select A, F, and G as the most accurate and relevant. If a fourth option is absolutely required, D could be included, but it may require more clarification.