The absolute value of -6 is equal to the distance on a number line between. 1)-6 an 6 2)-6 and 1 3)0 and 6 4)1 and -6

The absolute value of -6 is equal to the distance on a number line between.
1)-6 an 6
2)-6 and 1
3)0 and 6
4)1 and -6
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mhalmantus
Step 1
The absolute value of a number is the distance from 0 on number line.
The absolute value of -6 is 6 because distance of -6 from 0 is 6.
Absolute value measures how far is given number from zero.
Now, from given options we have to check which option has same distance as absolute -6.
option ${1}^{st}$ is -6 and 6.
Distance between -6 and $6=|6-\left(-6\right)|=12$ which is not equal to absolute value of -6
Therefore, this option is not correct.
Option ${2}^{nd}$ is -6 and 1 .
Distance between -6 and $1=|1-\left(-6\right)|=7$ which is not equal to absolute value of -6.
Therefore, this option is not correct.
Option ${3}^{rd}$ is 0 and 6.
Distance between 0 and $6=|6-0|=6$ which is equal to absolute value of -6.
Therefore, the absolute value of -6 is equal to the distance on a number line between 0 and 6.
Step 2
Now, distance between 1and $-6=|1-\left(-6\right)|=7$.
Therefore, this option is also not correct.
Hence, option ${3}^{rd}$ is correct.