Question

Which of the following does not have the same value as the others?(1 point)
Responses

−37
Start Fraction negative 3 over 7 End Fraction

3−7
Start Fraction 3 over negative 7 End Fraction

−3−7
Start Fraction negative 3 over negative 7 End Fraction

−37
negative Start Fraction 3 over 7 End Fraction
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Answer 1

To determine which of the given options does not have the same value as the others, let's analyze each option:

1. **−37**
2. **−3/7**: This is simply negative three over seven.
3. **3−7**: This is interpreted as \(3 - 7\) which equals \(-4\).
4. **−3/−7**: Since both the numerator and denominator are negative, this simplifies to \(3/7\), which is positive.
5. **−(-3/7)**: The negative of \(-3/7\) is simply \(3/7\), which is also positive.

Now evaluating each:

- The first option is \(-37\).
- The second option is \(-3/7\).
- The third option evaluates to \(-4\).
- The fourth option gives \(3/7\).
- The fifth option also gives \(3/7\).

Looking at the values:

- **−37** is a negative integer.
- **−3/7** is a negative fraction.
- **−4** is a negative integer.
- **3/7** is a positive fraction.

Because \(−37\), \(-3/7\), and \(-4\) are all negative, and \(3/7\) is positive, the option that does not have the same value is:

**3−7 (which evaluates to −4)**