Ordering negative numbers | Negative numbers and absolute value | Pre-Algebra | Khan Academy

Ordering negative numbers | Negative numbers and absolute value | Pre-Algebra | Khan Academy


I’ve got five numbers
here, and the goal is to order them from
least to greatest. And it might be obvious to you
that all five of these numbers are negative numbers. So let’s just think about
which of these is the greatest number. And you might be tempted
to say oh, well, you know, if these were all positive,
40 would be the greatest. So you might be tempted to say
negative 40 is the greatest. But you have to realize what
the negative is telling you, and to think about that. Think about if these
were your dollar amounts in your bank account. Would you rather have negative
$40 in your bank account or negative $7 in
your bank account? Negative 40 means that
you owe the bank $40. So it’s 40 less
than having nothing. Negative 7 would mean that
you owe the bank only $7. So it’s actually the
case that negative 40 is less than negative 7. And out of all of these numbers,
it is the least of all of them. So negative 40 is the very
least that you could do. That’s the least amount of
money that you would want out of these comparisons
in your bank account, or the smallest amount of money. You owe the bank $40. Not only do you have nothing,
you owe the bank $40. Then the next smallest
number would be negative 30. And then the next smallest
after that would be negative 25. And then the next smallest
after that would be negative 10. And then finally, the greatest
of all of these numbers– and I will do it in pink–
the greatest of all of these numbers is negative 7. And if it’s still
not obvious to you, you could also think of
them in temperature terms. Which of these is the
coldest temperature, whether you’re talking
about Celsius or Fahrenheit? Negative 40 would be
the coldest temperature. Negative 7 would be the
warmest temperature. There would be the most heat
in the air at negative 7. Another way to think about it
is we could draw a number line. So let’s draw a number
line right over here. If this is a zero, and we could
put maybe positive 7 up here. Positive 7 isn’t one
of these numbers, but then we could plot
all the other numbers. So this right here
might be negative 7. If that’s negative 7, then
maybe this right over here would be negative 10. Notice we go further and
further to the left of zero. And then we go a little
bit further to the left. We get negative 25. A little bit further to the
left than that is negative 30. And then you go even
further to the left and you get to negative 40. So if you think of it this
way, the least of these numbers is the one that’s furthest to
the left on the number line, and the greatest is the one
that’s furthest to the right.

17 thoughts on “Ordering negative numbers | Negative numbers and absolute value | Pre-Algebra | Khan Academy

  • July 19, 2012 at 1:59 am
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    It's a new teacher. Still good. πŸ™‚

    Reply
  • October 2, 2012 at 9:47 pm
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    lol i have to watch this for my homework for today

    Reply
  • August 10, 2013 at 4:58 pm
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    Niggative Numbers.

    Reply
  • August 10, 2013 at 4:58 pm
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    Niggative Numbers.

    Reply
  • June 15, 2014 at 3:14 am
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    He is really smart!

    Reply
  • June 15, 2014 at 3:14 am
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    Hahahahahahahahaajajaj

    Reply
  • September 25, 2014 at 5:41 am
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    Great you can teach the whole world, I learned a numerous amount of things=) thanks great stuff

    Reply
  • February 10, 2016 at 12:36 am
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    Thank you so much now I won't have to struggle in my HomeWork!

    Reply
  • February 18, 2016 at 12:13 am
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    it worked so well i got a A on a test πŸ˜€

    Reply
  • July 29, 2016 at 1:53 pm
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    Thanks it really helped me >:D

    Reply
  • September 5, 2017 at 10:50 pm
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    this video helped me on my HW

    Reply
  • September 14, 2017 at 4:37 pm
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    i hate math

    Reply
  • May 15, 2018 at 12:09 am
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    Homework is so hard but this helps me thanks

    Reply
  • July 10, 2018 at 12:24 am
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    I’m preparing for middle school because I’m going to be in advanced math, and this helped me so much. Thank you. I subbed your channel and liked your video. Your the only person I trust with math.:D

    Reply
  • September 12, 2018 at 1:19 am
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    M=mental
    A=abuse
    T=to
    H=humans
    Math: mental abuse to humans

    Reply
  • September 25, 2018 at 7:41 am
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    This helped thx

    Reply
  • March 20, 2019 at 11:43 pm
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    what are the ones with the lines next to them though

    Reply

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