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Absolute Value of Integers

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    Find the absolute value
    of x when x is equal to 5,
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    x is equal to negative 10,
    and x is equal to negative 12.
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    So the absolute value,
    the way of writing it
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    is almost more complicated
    than what it really is.
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    The absolute value is really
    just the distance of x from 0.
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    So let me just draw a fast
    number line over here.
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    So let's just put
    0 right over here,
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    since we're thinking
    about the distance from 0.
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    So let's just think
    about the absolute value.
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    Let's think about
    the absolute value
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    of x when x is equal to 5.
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    So that's equivalent to
    the absolute value of 5.
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    We just substituted 5 for x.
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    The absolute value of 5 is
    the distance of 5 from the 0.
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    So you go 1, 2, 3, 4, 5.
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    5 is exactly 5 to
    the right of 0.
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    So the absolute
    value of 5 is just 5.
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    Now I think you
    already get to see
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    this is a pretty
    straightforward concept.
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    Now let's do something a
    little more interesting,
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    the absolute value of x when
    x is equal to negative 10.
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    So let's just put
    negative 10 in for x.
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    This is the distance that
    negative 10 is from 0.
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    And so let's just go negative
    1, negative 2, negative 3,
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    negative 4, negative 5, negative
    6, negative 7, negative 8,
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    negative 9, negative 10.
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    I should extend the
    number line more.
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    So this right here
    is negative 10.
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    So how far is it away from 0?
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    Well, it's 10 to the left of 0.
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    So you put a 10 here.
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    And so in general,
    absolute value
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    will always be a
    positive quantity.
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    And when we're rethinking
    about just absolute values
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    of just numbers, it's
    just going to be,
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    really, the positive
    version of that number.
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    Let's do one more.
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    Well, they tell us to do one
    more, the absolute value of x
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    when x is equal to negative 12.
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    So we have the absolute
    value of negative 12.
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    We don't even to look
    at the number line.
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    It's just going to be
    the positive version
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    of negative 12.
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    It's just going
    to be equal to 12.
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    And this is just saying that
    negative 12 is 12 away from 0.
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    And we could draw it over here.
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    This is negative 11.
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    Negative 12 is right over here.
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    It is 1, 2, 3, 4, 5, 6, 7,
    8, 9, 10, 11, 12 away from 0.
Title:
Absolute Value of Integers
Description:

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Video Language:
English
Duration:
02:22

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