math

a number line below
-5 -4 -3 -2 -1 0 1 2 3 4 5
Which of the expressions below represent the distance between -4 and 5 on the number line? [ ]= absolute value symbol
A. [-4+5]
B.[4-5]
C.[-4-5]
d.[-5-(-4)]
I believe it is D, since the absolute value of a neg. number is positive. When it is in parenthesis first you do the absolute value and the mult. by the -4 keeping the answer ranging from 5-4 on the number line.
Is this correct.
Thank you for your help

asked by Ellie
  1. By just counting you know the distance is 9

    the only expression that will give you 9 is
    |-4-5| = |-9| = 9

    You have to do the stuff inside the absolute value first, then take the absolute value.

    posted by Reiny
  2. Thank you, I wasn't thinking the distance, I was thinking the actual numbers of -4 and 5, you helped me see how this is done. Thanks a lot

    posted by Ellie

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