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Absolute Value…Hint, Hint!

September28

 

On the number line below, the numbers m and n are the same distance from 0. Which of the following equations is correct:

number line

 

m + n = 0
m – n = 0
m = n
m/n = 1

PLEASE READ THIS!!!! Don’t just select an answer. PROVE IT by using an example (or two)!

by posted under Math 7, Math 7/8, maths | 96 Comments »    
96 Comments to

“Absolute Value…Hint, Hint!”

  1. September 30th, 2014 at 8:19 am      Reply ericv2014 Says:

    10-8=2. 10+8=18. I have prove my answer by addng & subtracted and got answers bigger than 1.


  2. September 30th, 2014 at 8:19 am      Reply dayneo2014 Says:

    i think the answer is the 3rd one. i think this because if you plugged some numbers in like 5 and 5.m =5 and n=5.so they are an even amount of spaces away.


  3. September 30th, 2014 at 8:19 am      Reply jimenai2014 Says:

    I think that the first eqaution is true because
    i pluged in -3 for n and 3 for m added them and it acually
    fit perfectly and did the same with -8 and 8 just to make sure that i was right.


  4. September 30th, 2014 at 8:26 am      Reply alexam2014 Says:

    m+n=0 so i had to put the oppsite of a number it will be 8/-8 So i put my 8/-8 in m/n

    ex1 8+-8=0

    the 2sd one becuase you use same change change it will = 16


  5. September 30th, 2014 at 8:42 am      Reply :> Says:

    well i think that it would be m+n= because if u look on the number line just because the n comes firt doesn’t mean you need to do that exact letter or number first. How do you know wht numbers to use MRS.Ellison??? dont we need numbers to do the problems. I also think that you can do m-n=because it doesn’t say hat numbers to use so i am trying to figuar this out nd when i add 8+6=14 and when i subtract 8-6=2 the answers are 12 numbers away from each other
    M=8
    N=6


  6. September 30th, 2014 at 1:32 pm      Reply keltons2014 Says:

    It going to be m+n=0 here are some example 4+(-4) 7+-7=0 and that’s some example.


  7. September 30th, 2014 at 2:42 pm      Reply haileyb2014 Says:

    The answer is m+n=0.
    Example: if m=20 then n must equal -20 because -20 is the same amount away from 0 as 20 is and 20 (m) + -20(n) = 0.
    Example: if m=5 then n must equal -5 beacuse they are both 5 places away from 0, so 5(m) + -5(n)=0.


  8. September 30th, 2014 at 3:12 pm      Reply BrandonM 2014 Says:

    M/n=1


  9. September 30th, 2014 at 3:33 pm      Reply audram2014 Says:

    the answer to this is m+n because on the number line the are the only ones that are the same distance apart


  10. September 30th, 2014 at 5:00 pm      Reply kateenaa2014 Says:

    The equation m-n=0 is correct; here is why…. on a number line if n=-5 and m=5; the absolute value of -5 is 5 and the absolute value of 5 is 5 so 5-5=0. Another example is: n=-2 and m=2 so the absolute values of each number subtracted is 2-2=0.


    • October 12th, 2014 at 9:19 am      Reply ajellison Says:

      Good start Kateena! m-n is not is absolute value marks so should you use absolute value to solve the problem???


  11. October 1st, 2014 at 8:15 am      Reply adriannap2014 Says:

    M – N =0 is correct because you are subtrating both answers from the positive side and negative side so it would be in the middle nd be 0.
    EXAMPLE:
    T= -6 L= 6

    -6-6= 0


  12. October 1st, 2014 at 1:52 pm      Reply landonc2014 Says:

    t is m+n=0 because when you add a positive and negative together they cancel each other out for example
    2+-2=0
    15+-15=0


  13. October 1st, 2014 at 1:53 pm      Reply landonc2014 Says:

    t is m+n=0 because when you add a positive and negative together they cancel each other out for example
    2+-2=0
    15+-15=0
    20000+-20000=0


  14. October 1st, 2014 at 2:53 pm      Reply Lisbeth fernando Says:

    if m and n are in the same distance, we have to select one of the answer the answer are “m+n=0,m-n=0,m-n,m/n=1 I think the correct answer is m-n=0 because if m-n are in the same distance it will be 0.
    (ex: -5 -5=0 or -10-10 will equal 0)


  15. October 1st, 2014 at 2:58 pm      Reply turiea2014 Says:

    hi miss ellison it is turie my answer is m=n because there are the equal distance appart like
    t———-0———-r
    arnt the same apart


  16. October 1st, 2014 at 3:12 pm      Reply kaiw2014 Says:

    m-n=0 because m and n are the same distance away it will be like m=1 and n=-1 1+-1=0 also m=24139 n has to be -24139 and it will equal 0.


  17. October 1st, 2014 at 5:16 pm      Reply rachelre2014 Says:

    m-n is the correct equation because if m and n are the same distance apart which would mean that they would be the same number number of space apart from zero example m=4 and n=4 they are the same distance from zero so if you subtracted one from the other it would equal zero that is how i solved this problem


    • October 12th, 2014 at 9:13 am      Reply ajellison Says:

      Good start Rachel! If m=4 and n=4 they would be on the same side of 0…in fact, they would be exactly the same point! Does this change your thinking at all?


  18. October 1st, 2014 at 5:26 pm      Reply jadynz2014 Says:

    m-n is the correct eqaution because if m and n are the same distance apart which would mean that they would be the same number of space apart from 0 so it would be like m=3 and n=3 because they are the same distance from 0 so if you subtracted one from the other it would be 0


    • October 12th, 2014 at 9:12 am      Reply ajellison Says:

      Good start Jadyn! If m=3 and n=3 then they would both be on the same side of 0…in fact, they would be exactly the same point! Does this change your thinking at all?


  19. October 1st, 2014 at 5:59 pm      Reply alyssaj2014 Says:

    I think it would be m+n=0. Because if m=1 and n=-1 than 1+-1=0.


  20. October 1st, 2014 at 6:17 pm      Reply emmabr2014 Says:

    ok, so I think the correct answer is A. witch is m + n = 0. I think this because what if the numbers are negative five and positive five for example: m equals negative 5 and n equals positive 5, or m equals negative 7 and n equals positive 7, or m equals negative 4 and n equals positive 4. The possible examples are endless. this is why I think the answer is A. (: =-).


  21. October 1st, 2014 at 6:32 pm      Reply julianm2014 Says:

    i say the answer to m is 0, and the answer to n is 0. 0+0=0, 0-0=0, 0=0, and the tricky part is 0/0. there is actually 2 answers to 0/0. the first being, well, 0. because anything divided by 0 is 0. but im not using that answer. the second choice is 1, because anything divided by itself is 1. so 0/0=1.


  22. October 1st, 2014 at 7:29 pm      Reply jeanettem2014 Says:

    my answer would be m + n = 0 here are some examples that prove my thinking.
    -5+5 =0 i got a zero because they are both the same distance away from each other and when you add a negative with a positive you will get zero pairs and it will leave you with nothing for this one.

    -77+77=0 they are both the same distance away from each other no matter how far they are, and when you add a positive with a negative you will get some zero pairs and in this case they are all zero pairs so it leaves me with nothing so it is zero


  23. October 1st, 2014 at 8:40 pm      Reply susanat2014 Says:

    m=n because in the number líne above m and n are the same distance. Like for example If i have a number líne and on the left side i have -27 and i also have 27 on the Right side it would be the same distance.


  24. October 2nd, 2014 at 3:19 pm      Reply jasminm2014 Says:

    The answer is m=n.
    Example 1: -3=3
    Example 2: j=k


  25. October 2nd, 2014 at 3:27 pm      Reply zacharyde2014 Says:

    My answer is m=n because there the same distance from zero and not one id farther from zero than the other.


  26. October 2nd, 2014 at 4:01 pm      Reply walterm2014 Says:

    m+n=0 because say m=-2 and n=2 and if you add those numbers it will equal 0 or l-2+2l=0


  27. October 2nd, 2014 at 4:06 pm      Reply walterm2014 Says:

    oh yea, n will be a negative number because it is to the left of zero. (n=-2)


  28. October 2nd, 2014 at 4:47 pm      Reply sydneyb2014 Says:

    M and n are “KISSING COUSINS” . If they are in the same distance away from 0 on the number line, they r kissing cousins. If added, they r 0 pairs.

    For example. N+M=?
    if N=-6 and. M=6
    -6+6= 0…

    so the answer is m+n=0.


  29. October 2nd, 2014 at 6:24 pm      Reply danield2014 Says:

    The following equation is correct:
    m+n=0
    If m=2 and If n=-2, then 2+(-2)=0
    If m=5 and If n=-5 then 5+(-5)=0


  30. October 2nd, 2014 at 6:31 pm      Reply rheond2014 Says:

    The following equation that is correct is m/n= because each variable is 1 number apart from zero. Also, even though n is -1 away from 0 it still is 1 away.


  31. October 2nd, 2014 at 6:35 pm      Reply katarinam2014 Says:

    M +n=0
    Would be the true equation
    For example if n=-2 and m=2 then 2+(-2)=0
    If n=-1/2 and m=1/2 then 1/2+(-1/2)=0


  32. October 2nd, 2014 at 7:36 pm      Reply brandonw2014 Says:

    m+n=0 because if you plug in the numbers 8+(-8)=0

    4+(-4)=0


  33. October 2nd, 2014 at 8:30 pm      Reply Anonymous Says:

    M-N=0

    |-5|-|5|=0
    M N

    |43|-|-43|=0
    M N

    This is skylarr2014


    • October 12th, 2014 at 8:57 am      Reply ajellison Says:

      I like how you used numbers to help you make sense of the variables Skylar! Remember that when subtracting, if I can not take away what I have then I end up with more than I started with! If I have -5 – 5, I do not have 5 positives to take away so I am going to end up with more negatives than I started with!


  34. October 2nd, 2014 at 8:34 pm      Reply graciea2014 Says:

    My answer is m+n=0.
    How I got this was I replaced m to 5 and n to -5. Once I did this I did all of the problems with the numbers 5 and -5. The one equation that was right was the first one.

    Example:
    m+n=0
    5+-5=0
    +++++
    – – – – –

    That’s how I got my answer that m+n=0.


  35. October 3rd, 2014 at 8:05 pm      Reply jaquelinev2014 Says:

    The equation m+n=0 is the answer. I got this answer because m is going to be a negative since its to the left of zero in the number line. And n is a positive since its to the right of zero. What I did is put a number to fill in for m and n. for m I put -1 and n I put 1 then I added the two numbers and got zero so m+n=0 is the answer.


  36. October 5th, 2014 at 12:34 pm      Reply maleal2014 Says:

    The answer is: m+n=0
    Examples: 2+(-2), 10+(-10)


  37. October 5th, 2014 at 5:30 pm      Reply elianov2014 Says:

    m-n=0


  38. October 5th, 2014 at 5:45 pm      Reply Katiesa2014 Says:

    m = n. Because when your doing absolute value your answer will always be positive. Even though (n) is on the negative number side, it’s going to be positive. Absolute value means the distance from zero. My example is
    m= 2 and n=-2……..m=| 2 | and n= | -2 |…..(everything ends up positive when doing absolute value!) so in the end it will end up to be m=2 and n=2
    So my answer to this blog is m=n


  39. October 6th, 2014 at 11:35 am      Reply teah2014 Says:

    m+n would be the correct equation because if they are the same distance from 0, then if they are added by each other you would have to cancel zero pairs and your answer would be 0. Example 1: -9+9=0 Example 2: -23+23=0


  40. October 6th, 2014 at 4:02 pm      Reply bernicek2014 Says:

    M equals N.
    When your doing absolute value everything is going to be positive. Absolute value means the distance from 0. So even though (n) is on the negative number side of your number line, it’s still going to be positive.
    My example is
    M equals 4, n equals -4
    M equals | 4 |, n equals |-4|
    (When using absolute value your answer is positive)
    So it ends up to be M equals 4, n equals 4
    So my answer to this blog is (m) equals (n).


  41. October 7th, 2014 at 10:56 am      Reply madisono2014 Says:

    I chose m-n=0 because if knowing that the problem is equal distance from zero tells you if you take away what you have you will have zero.


  42. October 8th, 2014 at 1:39 pm      Reply jiannav2014 Says:

    The correct equation is m + n = 0.
    Let’s say m = 4, which would make n = -4. 4 + (-4) = 0.
    If m = 7.2, n = -7.2. 7.2 + -7.2 = 0 also.
    With any numbers, m + n = 0.


  43. October 8th, 2014 at 2:13 pm      Reply jasminb2014 Says:

    m+n=0 is correct because if it was 2+(-2) it would equal 0 if you do the math.


  44. October 9th, 2014 at 2:59 pm      Reply alexsisb2014 Says:

    The correct one is m + n=0

    examples:

    m=5,n=-5 5 + -5=0
    m=2,n=-2 2+-2=0
    The numbers have different signs so the cancel each other out.


  45. October 9th, 2014 at 5:15 pm      Reply julianac2014 Says:

    The equation m+n=0 is correct. If m and n are the same distance away from zero, the numbers are going to be the same except n is going to be negative and m is going to be positive. For example, lets say that m is equal to 3. Since both m and n are the same distance away from 0, then n will be equal to -3. Then we plug the numbers into the equation. 3+(-3)=0. The equation works.
    If you plug the numbers in to the other equations, it won’t work. For example, we plug the numbers in to the equation m-n=0. 3-(-3) does not equal 0. It equals 6. If you plug the numbers into the equation m=n, it doesn’t work out either. 3 is not equal to -3. Finally, if you plug the numbers in to the equation m/n=1, it won’t work either. 3/-3 does not equal 1. It equals -1.
    ——————————————————————————–
    Example 1: m=8, n=-8
    Equation: m+n=0
    8+(-8)=0
    The equation works.

    Equation: m-n=0
    8-(-8)=16
    The equation does not work. The equation is equal to 16, not 0.

    Equation: m=n
    8=-8
    The equation does not work. 8 is not equal to -8.

    Equation: m/n=1
    8/-8=-1
    The equation does not work. The equation is equal to -1, not 1.


  46. October 10th, 2014 at 10:21 am      Reply citlallym2014 Says:

    The equation m-n=0 is correct. I tried (-2)-2 and got 0. Then I tried the equation (-21)-21 and got 0. The answer is the absolute value of both integers.


    • October 12th, 2014 at 8:46 am      Reply ajellison Says:

      Good job using numbers instead of the variables to help make sense of the problem Citlally! Remember that when you are subtracting, if you can not take away what you have then you are building more of what you started with…-2 – 2: since you do not have 2 positives to take away, you will end up with more negatives in your answer!


  47. October 10th, 2014 at 11:45 am      Reply treya2014 Says:

    The answer m+n=0 is the correct answer because if there the same distance from they have to be the same number but with a different sign. So let’s say they are n=-1 and m=1 using the integers any positive that is being added with a negative will end up smaller than it was before making the problem 1-1 which equals 0.


  48. October 10th, 2014 at 12:30 pm      Reply alesham2014 Says:

    How u do this problem is m+n=0 , m-n=0 ,n=m , n/m=1 and what u have to do to solve this problem is 0+0=0, 0-0=0 ,0=0,0/1=0 and that’s what u do when u have values to slove.


  49. October 10th, 2014 at 5:47 pm      Reply kaedenh2014 Says:

    The first thing I did was that I made my 2 examples. The first example was that I 3+ (-3). The first thing that I noticed was that there is a + and a – in my mind it’s + multiply – which equals a -. So my answer is 3-3= 0. My second example is 10-(10-) and my answer is 0. The answer is m + n= 0 because the same number on the positive side is the same on the negative side so it will equal zero


  50. October 10th, 2014 at 7:57 pm      Reply Tristin2014 Says:

    The anser to this problem is m + n = 0.

    An example to this problem is m+n=0 or 100 +(-100) =0
    Another example is m + n = 0 or 335 + (-335) = 0


  51. October 10th, 2014 at 8:43 pm      Reply josiasp2014 Says:

    M-n would show what the distances from 0. For example 8-8=0, 1234-1234=0, it is like and absolute value, m and n have to be the exact same and when you subtract them, the answer should be 0.


    • October 12th, 2014 at 8:42 am      Reply ajellison Says:

      I like how you plugged in numbers for m and n to help you make sense of the problem Josias! If m=8 and n=8 or m=1234 and n=1234, wouldn’t they be on the same side of zero (or exactly the same point)?


  52. October 11th, 2014 at 11:07 am      Reply dylann2014 Says:

    m=n, because they are the same distance from 0 just like how 1 and -1 are equal distance from 0 so 1=-1.


  53. October 11th, 2014 at 12:35 pm      Reply jaydinw2014 Says:

    m+n=o because the answer states that there are a m and a o so i thought it would be that answer


  54. October 12th, 2014 at 9:29 am      Reply chasen2014 Says:

    I chose the first one because if -1=n and 1=m and if you add -1+1 you get 0


  55. October 12th, 2014 at 12:37 pm      Reply maisyd2014 Says:

    the correct equation would be m+n because they are the same distance away from zero. exsept one would be negitave and one would be positive. an example would be m equals 6. but because m and n are the same distance from zero then N would just be -6. all thats left is checking it so you put the numbers into the equation 6+(-6)=0. the problem is correct!


  56. October 12th, 2014 at 3:18 pm      Reply michelleca2014 Says:

    I think that right answers are m/n=1,n-m=0,m=n
    Examples: 4/4=1,4-4=0,4=4


  57. October 12th, 2014 at 5:46 pm      Reply colev2014 Says:

    i picked 1 and -1 because if you add those you get 0


  58. October 12th, 2014 at 6:19 pm      Reply samanthabo2014 Says:

    Since Mrs.Ellison said M and N are the same distance from 0, M+N=0
    is the only equation that is true.
    Ex. 1: -11+11=0
    Ex. 2: -1,000+1,000=0

    SamanthaB


  59. October 12th, 2014 at 7:42 pm      Reply allysonb2014 Says:

    All the equations are correct except for the second one because if m-n= a postive minus a negative,the two negatives equal a positive so the it wouldnt be zero because I plugged in 1 and -1for m and n and 1–1=2 not 0 so that is not true but all the other ones are true


  60. October 13th, 2014 at 6:32 am      Reply angeli2014 Says:

    m = n is the answer because when your doing absolute value your answer will always be positive. Even though n is on the negative number side on the number line it is going to be positive! Absolute value means the distance from zero. An example is…
    m= 3 and n=-3… m= 3 and n= -3 … Everything will end up positive everything ends up positive when doing absolute value! so in the end it will end up to be m=3 and n=3
    That concludes my answer and work for m=n .


  61. October 13th, 2014 at 1:48 pm      Reply Consuelo Says:

    The equation m+n=0 is correct. If m and n are the same distance away from zero, the numbers are going to be the same except n is going to be negative and m is going to be positive. For example, lets say that m is equal to 3. Since both m and n are the same distance away from 0, then n will be equal to -3. Then we plug the numbers into the equation. 3+(-3)=0. The equation works.


  62. October 13th, 2014 at 1:50 pm      Reply jadalynnv2014 Says:

    i pick the frist one because when you get m+o=n you will get m


  63. October 13th, 2014 at 3:12 pm      Reply alexaz2014 Says:

    I think the first one is right becaswv if -3 +3 that = 0 and if we do the same with an other one like -1and 1 that will still get zero


  64. October 13th, 2014 at 3:42 pm      Reply stephaneg2014 Says:

    It is going to be m+n=0 here are some examples 6+(-6) and 8+(-8) and that’s some examples.


  65. October 15th, 2014 at 5:59 pm      Reply Jason Bietz Says:

    M-N is the correct equation because it is like 5-5=0 it is the opposite


  66. October 16th, 2014 at 2:53 pm      Reply dustinr2014 Says:

    i got 5.40

    and also the numbers were lined up wrong and the decimal was in the wrong place


  67. October 20th, 2014 at 9:03 pm      Reply rogeliop2014 Says:

    M-N is correct because its like 5-5=0 and its like the opposite


  68. October 27th, 2014 at 2:38 pm      Reply kennedym2014 Says:

    m+n=0 is the answer because when you add a number on different sides if the number you get that answer.


  69. November 4th, 2014 at 4:55 pm      Reply fanel2014 Says:

    – ‘M’&’N’ are kissing cousins! haha. . okay back to the problem.
    – They are kissing cousins that means they are both the same amount from zero.
    – When added, they are 0 pairs.
    – Example : N+M=?
    N=(-8) & M=8
    -8+8=0
    – So the answer is M+N=0.


  70. November 24th, 2014 at 7:50 am      Reply lissethf2014 Says:

    m+n=0 because if both variables are the same distance and n= a negtivte and m= a positive. so a negative plus a positive = 0 if they’re the sam distance apart.


  71. December 16th, 2014 at 2:38 pm      Reply Anonymous Says:

    m equals n


  72. December 17th, 2014 at 10:25 pm      Reply Mason.M Says:

    m+n=0 because say m=-2 and n=2 and if you add those numbers it will equal 0 or 1-2+2l=0 and it will be a negative number because it is to the left of the zero.


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