[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.80,0:00:03.90,Default,,0000,0000,0000,,Find the absolute value\Nof x when x is equal to 5,
Dialogue: 0,0:00:03.90,0:00:09.24,Default,,0000,0000,0000,,x is equal to negative 10,\Nand x is equal to negative 12.
Dialogue: 0,0:00:09.24,0:00:13.53,Default,,0000,0000,0000,,So the absolute value,\Nthe way of writing it
Dialogue: 0,0:00:13.53,0:00:15.81,Default,,0000,0000,0000,,is almost more complicated\Nthan what it really is.
Dialogue: 0,0:00:15.81,0:00:19.54,Default,,0000,0000,0000,,The absolute value is really\Njust the distance of x from 0.
Dialogue: 0,0:00:25.15,0:00:28.46,Default,,0000,0000,0000,,So let me just draw a fast\Nnumber line over here.
Dialogue: 0,0:00:28.46,0:00:31.51,Default,,0000,0000,0000,,So let's just put\N0 right over here,
Dialogue: 0,0:00:31.51,0:00:33.88,Default,,0000,0000,0000,,since we're thinking\Nabout the distance from 0.
Dialogue: 0,0:00:33.88,0:00:36.15,Default,,0000,0000,0000,,So let's just think\Nabout the absolute value.
Dialogue: 0,0:00:36.15,0:00:37.65,Default,,0000,0000,0000,,Let's think about\Nthe absolute value
Dialogue: 0,0:00:37.65,0:00:39.64,Default,,0000,0000,0000,,of x when x is equal to 5.
Dialogue: 0,0:00:39.64,0:00:42.39,Default,,0000,0000,0000,,So that's equivalent to\Nthe absolute value of 5.
Dialogue: 0,0:00:42.39,0:00:44.53,Default,,0000,0000,0000,,We just substituted 5 for x.
Dialogue: 0,0:00:44.53,0:00:48.59,Default,,0000,0000,0000,,The absolute value of 5 is\Nthe distance of 5 from the 0.
Dialogue: 0,0:00:48.59,0:00:51.57,Default,,0000,0000,0000,,So you go 1, 2, 3, 4, 5.
Dialogue: 0,0:00:51.57,0:00:55.35,Default,,0000,0000,0000,,5 is exactly 5 to\Nthe right of 0.
Dialogue: 0,0:00:55.35,0:00:59.30,Default,,0000,0000,0000,,So the absolute\Nvalue of 5 is just 5.
Dialogue: 0,0:00:59.30,0:01:00.76,Default,,0000,0000,0000,,Now I think you\Nalready get to see
Dialogue: 0,0:01:00.76,0:01:02.67,Default,,0000,0000,0000,,this is a pretty\Nstraightforward concept.
Dialogue: 0,0:01:02.67,0:01:07.96,Default,,0000,0000,0000,,Now let's do something a\Nlittle more interesting,
Dialogue: 0,0:01:07.96,0:01:10.48,Default,,0000,0000,0000,,the absolute value of x when\Nx is equal to negative 10.
Dialogue: 0,0:01:10.48,0:01:13.12,Default,,0000,0000,0000,,So let's just put\Nnegative 10 in for x.
Dialogue: 0,0:01:13.12,0:01:16.00,Default,,0000,0000,0000,,This is the distance that\Nnegative 10 is from 0.
Dialogue: 0,0:01:16.00,0:01:19.11,Default,,0000,0000,0000,,And so let's just go negative\N1, negative 2, negative 3,
Dialogue: 0,0:01:19.11,0:01:22.62,Default,,0000,0000,0000,,negative 4, negative 5, negative\N6, negative 7, negative 8,
Dialogue: 0,0:01:22.62,0:01:23.92,Default,,0000,0000,0000,,negative 9, negative 10.
Dialogue: 0,0:01:23.92,0:01:26.02,Default,,0000,0000,0000,,I should extend the\Nnumber line more.
Dialogue: 0,0:01:26.02,0:01:28.47,Default,,0000,0000,0000,,So this right here\Nis negative 10.
Dialogue: 0,0:01:28.47,0:01:31.77,Default,,0000,0000,0000,,So how far is it away from 0?
Dialogue: 0,0:01:31.77,0:01:34.59,Default,,0000,0000,0000,,Well, it's 10 to the left of 0.
Dialogue: 0,0:01:34.59,0:01:36.78,Default,,0000,0000,0000,,So you put a 10 here.
Dialogue: 0,0:01:36.78,0:01:38.67,Default,,0000,0000,0000,,And so in general,\Nabsolute value
Dialogue: 0,0:01:38.67,0:01:40.46,Default,,0000,0000,0000,,will always be a\Npositive quantity.
Dialogue: 0,0:01:40.46,0:01:43.16,Default,,0000,0000,0000,,And when we're rethinking\Nabout just absolute values
Dialogue: 0,0:01:43.16,0:01:45.83,Default,,0000,0000,0000,,of just numbers, it's\Njust going to be,
Dialogue: 0,0:01:45.83,0:01:48.31,Default,,0000,0000,0000,,really, the positive\Nversion of that number.
Dialogue: 0,0:01:48.31,0:01:49.59,Default,,0000,0000,0000,,Let's do one more.
Dialogue: 0,0:01:49.59,0:01:53.02,Default,,0000,0000,0000,,Well, they tell us to do one\Nmore, the absolute value of x
Dialogue: 0,0:01:53.02,0:01:54.92,Default,,0000,0000,0000,,when x is equal to negative 12.
Dialogue: 0,0:01:54.92,0:01:57.91,Default,,0000,0000,0000,,So we have the absolute\Nvalue of negative 12.
Dialogue: 0,0:01:57.91,0:01:59.62,Default,,0000,0000,0000,,We don't even to look\Nat the number line.
Dialogue: 0,0:01:59.62,0:02:01.54,Default,,0000,0000,0000,,It's just going to be\Nthe positive version
Dialogue: 0,0:02:01.54,0:02:02.74,Default,,0000,0000,0000,,of negative 12.
Dialogue: 0,0:02:02.74,0:02:04.92,Default,,0000,0000,0000,,It's just going\Nto be equal to 12.
Dialogue: 0,0:02:04.92,0:02:08.78,Default,,0000,0000,0000,,And this is just saying that\Nnegative 12 is 12 away from 0.
Dialogue: 0,0:02:08.78,0:02:10.07,Default,,0000,0000,0000,,And we could draw it over here.
Dialogue: 0,0:02:10.07,0:02:10.98,Default,,0000,0000,0000,,This is negative 11.
Dialogue: 0,0:02:10.98,0:02:13.08,Default,,0000,0000,0000,,Negative 12 is right over here.
Dialogue: 0,0:02:13.08,0:02:21.40,Default,,0000,0000,0000,,It is 1, 2, 3, 4, 5, 6, 7,\N8, 9, 10, 11, 12 away from 0.