## Absolute Value of Integers

• 0:01 - 0:04
Find the absolute value
of x when x is equal to 5,
• 0:04 - 0:09
x is equal to negative 10,
and x is equal to negative 12.
• 0:09 - 0:14
So the absolute value,
the way of writing it
• 0:14 - 0:16
is almost more complicated
than what it really is.
• 0:16 - 0:20
The absolute value is really
just the distance of x from 0.
• 0:25 - 0:28
So let me just draw a fast
number line over here.
• 0:28 - 0:32
So let's just put
0 right over here,
• 0:32 - 0:34
since we're thinking
• 0:34 - 0:36
So let's just think
• 0:36 - 0:38
the absolute value
• 0:38 - 0:40
of x when x is equal to 5.
• 0:40 - 0:42
So that's equivalent to
the absolute value of 5.
• 0:42 - 0:45
We just substituted 5 for x.
• 0:45 - 0:49
The absolute value of 5 is
the distance of 5 from the 0.
• 0:49 - 0:52
So you go 1, 2, 3, 4, 5.
• 0:52 - 0:55
5 is exactly 5 to
the right of 0.
• 0:55 - 0:59
So the absolute
value of 5 is just 5.
• 0:59 - 1:01
Now I think you
• 1:01 - 1:03
this is a pretty
straightforward concept.
• 1:03 - 1:08
Now let's do something a
little more interesting,
• 1:08 - 1:10
the absolute value of x when
x is equal to negative 10.
• 1:10 - 1:13
So let's just put
negative 10 in for x.
• 1:13 - 1:16
This is the distance that
negative 10 is from 0.
• 1:16 - 1:19
And so let's just go negative
1, negative 2, negative 3,
• 1:19 - 1:23
negative 4, negative 5, negative
6, negative 7, negative 8,
• 1:23 - 1:24
negative 9, negative 10.
• 1:24 - 1:26
I should extend the
number line more.
• 1:26 - 1:28
So this right here
is negative 10.
• 1:28 - 1:32
So how far is it away from 0?
• 1:32 - 1:35
Well, it's 10 to the left of 0.
• 1:35 - 1:37
So you put a 10 here.
• 1:37 - 1:39
And so in general,
absolute value
• 1:39 - 1:40
will always be a
positive quantity.
• 1:40 - 1:43
And when we're rethinking
• 1:43 - 1:46
of just numbers, it's
just going to be,
• 1:46 - 1:48
really, the positive
version of that number.
• 1:48 - 1:50
Let's do one more.
• 1:50 - 1:53
Well, they tell us to do one
more, the absolute value of x
• 1:53 - 1:55
when x is equal to negative 12.
• 1:55 - 1:58
So we have the absolute
value of negative 12.
• 1:58 - 2:00
We don't even to look
at the number line.
• 2:00 - 2:02
It's just going to be
the positive version
• 2:02 - 2:03
of negative 12.
• 2:03 - 2:05
It's just going
to be equal to 12.
• 2:05 - 2:09
And this is just saying that
negative 12 is 12 away from 0.
• 2:09 - 2:10
And we could draw it over here.
• 2:10 - 2:11
This is negative 11.
• 2:11 - 2:13
Negative 12 is right over here.
• 2:13 - 2:21
It is 1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12 away from 0.
Title:
Absolute Value of Integers
Description:

more » « less
Video Language:
English
Duration:
02:22
 dhbot edited английски език subtitles for Absolute Value of Integers wang.amanda.email edited английски език subtitles for Absolute Value of Integers raji.krithi added a translation

# English subtitles

## Revisions Compare revisions

• API
dhbot
• wang.amanda.email
• raji.krithi