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Number opposites

Learn what it means for a number to be the opposite of another number.
The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.
Here are a couple of examples:
start color #e84d39, minus, 4, end color #e84d39 is the opposite of start color #1fab54, 4, end color #1fab54.
start color #1fab54, 3, end color #1fab54 is the opposite of start color #e84d39, minus, 3, end color #e84d39.

Let's practice!

Problem 1A
Move the dot to the opposite of 2.

Challenge problems

Use the following number line for the questions below.
Problem 2A
Which of the following is the opposite of A?
Choose 1 answer:
Choose 1 answer:

Want to join the conversation?

  • blobby green style avatar for user figueroa
    For opposite numbers I understand how A = -A;
    How can A also be E?
    (64 votes)
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  • duskpin ultimate style avatar for user Catherine C
    I cannot find even a forced logic explanation for problem 2B which I could only guess at given where the 0 is on the number line. Same with 2C. Since the correct answer for problem 2A is: the opposite of A = -A, how did we arrive at A = -E and E = -A?

    Mentioned below, previously given only positive letters to work with, how did a negative letter become an answer?

    Using a process of elimination to arrive at a "true" answer, does not explain what is happening.

    I hope someone will please shed light on how this occurs. So far, I have not found help anywhere.
    (19 votes)
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  • blobby green style avatar for user maria
    I'm stuck on challenge problem 2A. I would assume that if you have a 0 as the only number on the line, then anything to the left of 0 is a negative number and anything to the right of 0 is a positive. So the opposite number in the same location of A (which is a -A) reflected on the number line is the positive number E. I understand that ideally these would be represented by the same letter, just negative and positives, but I'm working with what is given and expected that the important part is the marks on the number line - not the representative letters used. Help please.
    (2 votes)
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    • starky seedling style avatar for user Hamad
      A is to the left of the 0 on the number line and it's represented simply as an A without a negative. One would assume this is a negative number as the A is just a label for the negative number that's supposedly on that point on the number line.

      Taking what we have previously learned, A is a negative number in this case which would mean the opposite of it would be the E on the number line. How could an opposite of a negative number be negative? Unless the number line is flipped in this case?

      This left me very confused as the question certainly leads to E being the correct answer.
      (21 votes)
  • blobby green style avatar for user David McCauley
    Why doe negative move to opposite side of 0 on number line?
    (8 votes)
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    • aqualine ultimate style avatar for user 2606126
      Well there is already numbers on the right of the numberline so negative numbers moving to the left of the numberline would make the most sense. There is cases like -3 - (-5) when see the supposed -5 you would think it would be -8 but the answer is 2 in the end, where else would YOU want the negative numberline to be? I think to the left is fine for me.
      (1 vote)
  • aqualine seed style avatar for user Becca Nastasia
    Question 2A is extremely confusing. Point "A" is to the left of 0. It's opposite should be the point which is the same distance to the right of 0, which is E. If I understand the lesson correctly point "A" should be negative because it is to the left of 0; and point "E" should be positive, which it is, but there is no corresponding answer. Please explain this.
    (4 votes)
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    • hopper cool style avatar for user Mike M
      They want you to understand that "E" and "negative A" (or, "opposite of A") are the same. If they gave "E" as a possible answer, people might choose that without grasping that -A is the same thing.
      (2 votes)
  • blobby green style avatar for user lseely3419
    Also for the next one HOW! JUST HOW! are those correct You just said that A=E so that is kinda hard on my side aparentley ( A=-E and E=-A ) so this makes me mad with the lack of info this gives me
    (4 votes)
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  • blobby green style avatar for user DAMONDRICKB
    for opposite numbers I understand how A = -A;
    How can A also be E?
    (4 votes)
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  • aqualine sapling style avatar for user sahara sanders
    i didn't get the last question
    (2 votes)
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    • leaf yellow style avatar for user Madialyn Neyohaven
      Okay. The last question refers to the number line above, and this number line shows that A and E are on opposite sides on the number line.
      A = E On the number line, A and E are not in the same place, so they are not equal to each other. This option is wrong.
      A = -A In this case, a number can never equal it's opposite. For example 2 and -2 can never equal each other. This option is wrong.
      A = -E Well, if we take E, and move it to its opposite position on the number line(that's what the negative is suggesting) it would be in the same place as A, and they would equal each other. This option is correct.
      E = -A This option is just like the third, except we're moving A to its opposite spot. This option is correct as well. Did that help?
      (5 votes)
  • blobby green style avatar for user RubyG
    it keeps saying cant grade your answer
    (3 votes)
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    • stelly blue style avatar for user Kim Seidel
      You usually get that message when your answer is in the wrong format; or you have extra characters like spaces that it isn't expecting.

      Use the hints - compare your work and answer to that found in the hint. This will likely help you figure out why you are getting that error message.
      (2 votes)
  • sneak peak blue style avatar for user JazaraA
    this is so weird i dont undersand how a= -a
    (3 votes)
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