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

ddaeeric 2020-11-23 Answered
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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Expert Answer

mhalmantus
Answered 2020-11-24 Author has 106 answers
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 1st is -6 and 6.
Distance between -6 and 6=|6(6)|=12 which is not equal to absolute value of -6
Therefore, this option is not correct.
Option 2nd is -6 and 1 .
Distance between -6 and 1=|1(6)|=7 which is not equal to absolute value of -6.
Therefore, this option is not correct.
Option 3rd is 0 and 6.
Distance between 0 and 6=|60|=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(6)|=7.
Therefore, this option is also not correct.
Hence, option 3rd is correct.
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