Question

Write the absolute value of each of the following.

$-\left|-6\right|$

Answer 1

The absolute value of a number is the distance of that number from $0$ without taking its direction into consideration

$\left|\right|$ is the sign used to denote absolute value.

For Example $-7$ and $7$ has the same absolute value which is $7$, we neglect the sign of the number, or we can say absolute value is always positive.

We need to find the absolute value of a number which is already using an absolute value symbol.

We need to calculate $\left|-\left|-6\right|\right|$,

Step 1 : Calculate absolute value of $-6$

$\left|-6\right|$ which is equal to $6$

$-\left|-6\right|$ is equal to $-6$

Step 2 : Now calculate the absolute value of the result in the previous step

$\left|-6\right|$ which is equal to $6$

Hence Absolute value of $\left|-\left|-6\right|\right|$ is $6$.