Math-PLEASE help me

If the absolute value of a negative number is 2.78, what is the distance on the number line between the number and its absolute value? Explain your answer.

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asked by Sam
  1. The absolute value is given and it tells you that the original number is negative.

    So the original number is -2.78

    All you have to do is find the distance between -2.78 and 2.78

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    posted by Mia
  2. ok, so i drew a number line and the distance I got was -5.56.
    Is this correct?

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    posted by Sam
  3. Depending which way you're looking from 2.78 to -2.78 would be -5.56 because you are moving down(left) the number line
    And -2.78 to 2.78 would be 5.56 because you're moving up(right) the number line.

    It might be simpler just to leave it positive. But your math was correct.

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    posted by Mia
  4. I was just about to reply and tell you that I subtracted when I was suppose to add but you replied first. :P

    So when I added them together I got 0. But you said my math was correct. I'm confused. >_<

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    posted by Sam
  5. 2.78-(-2.78)=5.56

    You are not trying to find the distance from 0. That is what the absolute value is. It tells that the absolute value is 2.78.

    You want the total distance between -2.78 and 2.78.

    You found this to be 5.56

    To check your answer you would add -2.78 +5.56=2.78

    Did I explain clearly?

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    posted by Mia
  6. Ohhhh, ok. I understand now. Thank you Mia so much! You've been most helpful. :D Goodnight.

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    posted by Sam
  7. i don't understand

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    posted by sam
  8. In order to get the answer you have to divide 2.78 and 2 which equals to 1.39

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    posted by Brandon
  9. Is an absolute value of a negative number is 2.780 what is the distance of the difference between a number and its absolute value explain your answer?

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    posted by Sylveon
  10. I don't understand

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    posted by Anonymous
  11. Thank you i get it

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    posted by Azaria
  12. what is the absolute value of a negative number

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    posted by alina
  13. How would you explain this?

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    posted by Lauren
  14. How would you explain this?

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    posted by Lauren

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