Absolute value

Absolute value is the distance from zero on the number line. Distance is always zero or positive.

The number $-15$ is 15 units to the left of zero on the number line. Direction does not matter — only the distance counts.

$|-15|=15$

We need to find $|-15|$, which is the distance of $-15$ from zero. Absolute value is always zero or positive.

The option $-15$ is negative. Absolute value can never be negative, so this is wrong.

The option $0$ would only be correct if the number inside the bars were $0$. Since the number is $-15$, which is not zero, this is wrong.

The option $-1$ is negative and has no connection to $|-15|$. This is incorrect.

The only remaining option is $15$. Since $-15$ is 15 units from zero, $|-15|=15$. ✓

The temperature is $-6°C$. We need to find $|-6|$.

For a negative number, the absolute value removes the negative sign. The number $-6$ is 6 units from zero on the number line.

$|-6|=6$

We need $|-6|$. Absolute value gives the distance from zero, which is always zero or positive.

$-6$ is negative. Absolute value is never negative, so this cannot be correct.

$0$ is only correct for $|0|$, not for $|-6|$. $60$ has no logical connection to $-6$. Both are eliminated.

The remaining option is $6$. The number $-6$ is 6 units from zero, so $|-6|=6$. ✓