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Negative decimals on the number line

These example exercises require us to interpret a number line in order to locate where our positive and negative decimals should be placed. Created by Sal Khan.

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  • leaf blue style avatar for user Programming Crazy
    Does negative mean under zero?
    (46 votes)
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  • blobby green style avatar for user Arbaaz Ibrahim
    Is zero a positive number?
    (8 votes)
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  • orange juice squid orange style avatar for user kelly.podgorski
    Negative Numbers mean under zero, like below zero. So there wouldn't be a negative 0 because it would't make sense. I know that but why are the numbers getting smaller like -115 is smaller than -5? Why is that?
    (11 votes)
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    • piceratops ultimate style avatar for user Dan Fletcher
      Because the "largeness" or "smallness" of a number is not relative to it's position in respect to 0. 5 is less than 10 because 5 is further left on the number line. -10 is smaller than -5 because -10 is further left on the number line.

      So, the further right on the number line, the larger the number, and the further left, the smaller. It doesn't matter where 0 is in relation to those numbers.
      (10 votes)
  • piceratops seed style avatar for user zion.1243284
    Can pie go on a number-line?
    (11 votes)
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  • blobby green style avatar for user Morgan
    Where does pi go on a number line?
    (7 votes)
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  • starky sapling style avatar for user tobi is packer
    how are negatives different from positives
    (5 votes)
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    • winston default style avatar for user 26anguyen19
      Yes, yes, people might view both as to numbers, but one is smaller than the other. As you can compare, -5 is smaller than 5, because of the negative symbol used in -5, making it a lesser value than the original number itself. However, absolute values have the power to change these negative values. Here's an example, |-5| is the same value as 5. In this problem, why is |-5| the same value as 5? It's because the bars ( |#| ) representing, absolute value. Absolute value means the number of jumps it takes from zero to the number inside these bars. Absolute value can make values negative, too. For example, -|5| is negative five. According to the example, the negative symbol is outside the bars. Always remember that the numbers in between the bars are the numbers that represent the absolute value. Anything outside of the bars is not going to change. Negative numbers are different because they represent different things like negatives represent debt, temperatures below zero, elevation below the sea level, and many more. On the other hand, Positives represent money received, temperatures above zero, elevation above sea level, and a lot more.
      (5 votes)
  • piceratops seedling style avatar for user Maegan Ostrander
    Does negative mean under zero?
    (5 votes)
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  • piceratops seedling style avatar for user Kairo Hulsey
    Is negative zero a thing?
    (4 votes)
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  • blobby green style avatar for user Amelia Vazquez
    Is zero a positive number?
    (3 votes)
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    • duskpin ultimate style avatar for user Elaina163
      Look at the comments for the answer because heads up I'm probably gonna write another essay about why lol.
      You know what I've decided not to do that because I like writing essays and because the comments are gonna end up being confusing...
      "0 is a number, and the numerical digit used to represent that number in numerals. It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems." this is from google.
      So basically what this means is that 0 is the Middle point (kinda like a strait middle the special number so to speak) of integers which are numbers both in negative and positive form (-1 or 1 negative and positive)

      The answer to your question is the zero is neither it is the central number in integers, and all numbers
      (8 votes)
  • spunky sam red style avatar for user OliverG
    Is zero a positive number
    (4 votes)
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Video transcript

We're asked to move the orange dot to negative 0.6 on the number line. So the dot right now is at 0. And let's see, this is negative 2. This is positive 2. So each of these big slashes look like it's 1. So this would be negative 1, negative 2. This right over here would be negative 0.5. So we're going to go a little bit more negative than negative 0.5. That would be negative 0.6. We want to go another tenth. And so that looks right at about negative 0.6. Let's do a couple more of these. Move the orange dot to 1.9 on the number line. So it seems like we have the same scale as in the previous example. This gets us to 1. In fact, this is 0.5, 1, 1.5. And 1.9 is only going to be a tenth less than 2. So it's going to be-- let's see, that's 2, so a tenth less than that. And I'm assuming that it's locking us to the tenths. And it looks like it is, so that looks pretty close to 1.9. Let's do one more of these. Move the orange dot to 0.5 on the number line. Well, once again, we have the same scale. It's important to always check the scale. And this right over here is 1. So 0.5 would be halfway, so that little small mark right over there.