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Find the absolute value
of x when x is equal to 5,

2
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x is equal to negative 10,
and x is equal to negative 12.

3
00:00:09,240 --> 00:00:13,530
So the absolute value,
the way of writing it

4
00:00:13,530 --> 00:00:15,810
is almost more complicated
than what it really is.

5
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The absolute value is really
just the distance of x from 0.

6
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So let me just draw a fast
number line over here.

7
00:00:28,460 --> 00:00:31,510
So let's just put
0 right over here,

8
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since we're thinking
about the distance from 0.

9
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So let's just think
about the absolute value.

10
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Let's think about
the absolute value

11
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of x when x is equal to 5.

12
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So that's equivalent to
the absolute value of 5.

13
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We just substituted 5 for x.

14
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The absolute value of 5 is
the distance of 5 from the 0.

15
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So you go 1, 2, 3, 4, 5.

16
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5 is exactly 5 to
the right of 0.

17
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So the absolute
value of 5 is just 5.

18
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Now I think you
already get to see

19
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this is a pretty
straightforward concept.

20
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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.

22
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So let's just put
negative 10 in for x.

23
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This is the distance that
negative 10 is from 0.

24
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And so let's just go negative
1, negative 2, negative 3,

25
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negative 4, negative 5, negative
6, negative 7, negative 8,

26
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negative 9, negative 10.

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I should extend the
number line more.

28
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So this right here
is negative 10.

29
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So how far is it away from 0?

30
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Well, it's 10 to the left of 0.

31
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So you put a 10 here.

32
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And so in general,
absolute value

33
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will always be a
positive quantity.

34
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And when we're rethinking
about just absolute values

35
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of just numbers, it's
just going to be,

36
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really, the positive
version of that number.

37
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Let's do one more.

38
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Well, they tell us to do one
more, the absolute value of x

39
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when x is equal to negative 12.

40
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So we have the absolute
value of negative 12.

41
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We don't even to look
at the number line.

42
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It's just going to be
the positive version

43
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of negative 12.

44
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It's just going
to be equal to 12.

45
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And this is just saying that
negative 12 is 12 away from 0.

46
00:02:08,779 --> 00:02:10,070
And we could draw it over here.

47
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This is negative 11.

48
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Negative 12 is right over here.

49
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It is 1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12 away from 0.