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

Question

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)