What other way can −4 be represented as a rational number?(1 point)

Question

Responses

144√3
Start Fraction square root of 144 over 3 End Fraction

14
Start Fraction 1 over 4 End Fraction

−246
Start Fraction negative 24 over 6 End Fraction

−12√3

Answer 1

To determine which option could represent \(-4\) as a rational number, let's evaluate each of the given responses.

1. 144√3: This is not a rational number, and it is significantly larger than -4.

2. Start Fraction square root of 144 over 3 End Fraction:

   • The square root of 144 is 12.
   • Therefore, this expression simplifies to \( \frac{12}{3} = 4 \), which is not -4.

3. 14: This is simply 14, which is not -4.

4. Start Fraction 1 over 4 End Fraction: This simplifies to 0.25, which is also not -4.

5. −246: This is a negative number but does not equal -4.

6. Start Fraction negative 24 over 6 End Fraction:

   • This simplifies to \( -\frac{24}{6} = -4\).

Based on this evaluation, the correct option that represents \(-4\) as a rational number is Start Fraction negative 24 over 6 End Fraction.