1
00:00:00,303 --> 00:00:02,066
Houston, we have a preliminary...

2
00:00:02,066 --> 00:00:04,879
The transition from summer to fall is a tricky one.

3
00:00:04,879 --> 00:00:07,292
Like astronauts returning from space...

4
00:00:07,292 --> 00:00:10,839
We had to re-enter the atmosphere 
of school carefully,

5
00:00:10,839 --> 00:00:14,926
so the sudden change in pressure wouldn't kill us.

6
00:00:16,952 --> 00:00:19,455
You brought 'em in beautifully.

7
00:00:22,141 --> 00:00:27,391
Still, the beginning of eighth grade looked 
like it was gonna be a smooth landing.

8
00:00:30,047 --> 00:00:32,861
We weren't the lowest men on the totem pole anymore.

9
00:00:32,861 --> 00:00:37,275
We were men...among seventh-grade boys.

10
00:00:38,888 --> 00:00:44,197
More importantly, 
we were men among seventh-grade girls.

11
00:00:52,556 --> 00:00:56,800
In social-studies, 
we talked about Woodstock.

12
00:01:00,146 --> 00:01:01,086
Men...

13
00:01:02,418 --> 00:01:05,436
These...are ropes.

14
00:01:05,436 --> 00:01:09,055
In gym, we were introduced to the obvious.

15
00:01:15,857 --> 00:01:20,426
In French...
Mrs. Martinson showed us slides from her trip to Paris.

16
00:01:23,854 --> 00:01:25,466
Wrong slide...

17
00:01:25,466 --> 00:01:28,088
Yep - everything was looking A-OK.

18
00:01:28,088 --> 00:01:31,494
All systems "go".

19
00:01:32,431 --> 00:01:34,402
Until fourth period.

20
00:01:34,402 --> 00:01:38,688
Take your seats and open your textbooks...
To unit one. Page sixteen.

21
00:01:38,688 --> 00:01:42,044
We will begin...
with the introduction to variables.

22
00:01:42,044 --> 00:01:43,416
Who is this guy?

23
00:01:43,416 --> 00:01:45,384
My name is Mr. Collins.

24
00:01:45,384 --> 00:01:50,375
If we use a symbol, such as "X" to represent 
the unspecified..Member of the set...

25
00:01:50,375 --> 00:01:52,284
So much for introductions.

26
00:01:52,284 --> 00:01:54,757
In a Venn diagram.

27
00:01:54,757 --> 00:01:58,062
"S" is the replacement symbol for the variable "X".

28
00:01:58,062 --> 00:02:00,153
We'd never seen anything like him.

29
00:02:00,153 --> 00:02:02,036
He was a math machine.

30
00:02:02,036 --> 00:02:04,687
All math...all the time.

31
00:02:04,687 --> 00:02:06,499
With the chalk marks to prove it.

32
00:02:06,499 --> 00:02:12,412
If the union of sets "S" and "T" is negative two 
and zero, what is the intersection?

33
00:02:12,412 --> 00:02:14,909
Faced with this implacable force...

34
00:02:14,909 --> 00:02:16,767
We rose to the challenge.

35
00:02:16,767 --> 00:02:17,235
Yes.

36
00:02:17,235 --> 00:02:21,851
Mr. Collins, how did you learn to 
draw such neat circles?

37
00:02:21,851 --> 00:02:23,388
Each in our own way.

38
00:02:23,388 --> 00:02:27,479
It is not neccessary to draw perfect 
circles to do these problems correctly

39
00:02:27,479 --> 00:02:30,182
it will not affect your grade either way.

40
00:02:30,182 --> 00:02:32,776
But nothing distracted him.

41
00:02:32,776 --> 00:02:36,768
Is this like stuff that you could use to figure out 
Tom Seaver's earned-run average?

44
00:02:40,453 --> 00:02:43,291
Ooh, ooh.

45
00:02:43,291 --> 00:02:45,452
Not even the cries of the tortured.

46
00:02:45,452 --> 00:02:51,825
The answer is the set..
of negative two..and zero.

47
00:02:51,825 --> 00:02:52,856
We further illustrate...

48
00:02:52,856 --> 00:02:55,242
We threw everything we had at him.

49
00:02:55,242 --> 00:02:58,662
To describe the relationship between set "B"...

50
00:02:58,662 --> 00:03:00,853
But we didn't have a chance.

51
00:03:00,853 --> 00:03:04,072
Positive numbers. Now, these numbers...

52
00:03:04,072 --> 00:03:05,925
And their negatives in set "A"...

53
00:03:05,925 --> 00:03:08,894
Make up the set of rational numbers.

54
00:03:08,894 --> 00:03:10,738
Psst. What page are we on?

55
00:03:10,738 --> 00:03:12,720
No talking!

56
00:03:12,720 --> 00:03:14,243
Any rational number...

57
00:03:14,243 --> 00:03:16,148
Sheesh - I mean...come on!

58
00:03:16,148 --> 00:03:18,408
Who died and made this guy king?

59
00:03:18,408 --> 00:03:19,965
Yes?

60
00:03:25,336 --> 00:03:26,719
Do you have a problem?

61
00:03:26,719 --> 00:03:28,930
Um...

62
00:03:28,930 --> 00:03:30,895
No.

63
00:03:34,265 --> 00:03:35,076
For tomorrow...

64
00:03:35,076 --> 00:03:40,953
I would like you to do problems one 
through ten on page eighteen.

65
00:03:40,953 --> 00:03:43,667
Boy, what's the story with this guy?

66
00:03:43,667 --> 00:03:45,943
He's gonna kill us.

67
00:03:45,943 --> 00:03:48,376
Nah, don't worry about him.

68
00:03:49,802 --> 00:03:53,011
Sure, he looked tough  
but I wasn't worried.

69
00:03:54,210 --> 00:03:55,710
Come on 
let's go to lunch.

70
00:03:55,710 --> 00:03:58,996
Not to brag or anything, 
but I was a pretty bright kid.

71
00:03:58,996 --> 00:04:01,232
Compared to the...Competition.

72
00:04:01,232 --> 00:04:02,059
Wayne...

73
00:04:02,059 --> 00:04:04,888
How was your first day in high school?

74
00:04:04,888 --> 00:04:06,207
Huh?

75
00:04:06,207 --> 00:04:09,332
With Wayne, that's about all my parents expected.

76
00:04:09,332 --> 00:04:11,897
With me, they expected a little more.

77
00:04:11,897 --> 00:04:16,308
Well, I had a good day. English...French...math...

78
00:04:16,308 --> 00:04:18,385
Face it - they were proud of me.

79
00:04:18,385 --> 00:04:20,793
I guess it was kinda by default.

80
00:04:23,058 --> 00:04:24,725
Well, I gotta go meet Delores.

81
00:04:24,725 --> 00:04:26,043
Wait a minute.

82
00:04:26,043 --> 00:04:30,000
Not on a school night. In this family, 
we do homework on schoolnights.

83
00:04:30,000 --> 00:04:32,138
- What about him? 
- What about him?

84
00:04:32,138 --> 00:04:34,271
Well, he's not doing any homework.

85
00:04:34,271 --> 00:04:37,271
Don't worry about Kevin. 
When you're getting Kevin's grades, we'll talk.

86
00:04:37,271 --> 00:04:40,239
OK - sometimes it was a little embarrassing.

87
00:04:40,239 --> 00:04:42,754
But it's not like there weren't responsibilities.

88
00:04:42,754 --> 00:04:45,664
Yep - wouldn't be a bad idea to bone-up a little.

89
00:04:45,664 --> 00:04:47,803
Start the year off with an ace.

90
00:04:47,803 --> 00:04:51,161
Or maybe a "B". "B-plus", maybe.

91
00:04:53,974 --> 00:04:55,256
"D"?

92
00:04:55,256 --> 00:04:58,026
The results of your pop-quiz.

93
00:04:58,026 --> 00:04:59,409
"D"?!

94
00:04:59,409 --> 00:05:00,822
It was horrible.

95
00:05:00,822 --> 00:05:03,711
I'd never gotten a "D" before. Not even in...

96
00:05:03,711 --> 00:05:05,850
Penmanship.

97
00:05:07,246 --> 00:05:09,214
For homework...

98
00:05:09,214 --> 00:05:14,736
Problems fifteen through twenty-five, 
on page twenty.

99
00:05:14,736 --> 00:05:18,335
There was only one possible explanation.

100
00:05:18,335 --> 00:05:20,391
This had to be a mistake.

101
00:05:20,391 --> 00:05:22,280
Kev - you comin' to lunch?

102
00:05:22,280 --> 00:05:25,823
In a minute - I have to talk to Collins.

103
00:05:26,312 --> 00:05:29,348
OK...but hurry up 
Sloppy Joes today.

104
00:05:31,225 --> 00:05:33,440
I had to handle this with a little tact.

105
00:05:33,440 --> 00:05:35,213
Hi.

106
00:05:35,327 --> 00:05:37,491
After all, the man was human.

107
00:05:37,491 --> 00:05:39,163
Yes?

108
00:05:39,163 --> 00:05:41,582
So much for that theory.

109
00:05:41,582 --> 00:05:46,040
Um...I have a question about my quiz.

110
00:05:48,700 --> 00:05:50,191
Yes?

111
00:05:50,579 --> 00:05:53,214
About the grade...

112
00:05:53,869 --> 00:05:56,214
Well, it's a "D".

113
00:05:57,929 --> 00:05:59,264
Yes, it is.

114
00:05:59,264 --> 00:06:01,352
OK...
We'd made a start.

115
00:06:01,352 --> 00:06:04,960
Well, I...think it might be wrong.

116
00:06:04,960 --> 00:06:07,475
Well, let's take a look.

117
00:06:12,056 --> 00:06:13,319
You're right...

118
00:06:13,319 --> 00:06:15,933
There - that wasn't so hard.

119
00:06:15,933 --> 00:06:23,652
Number five should be...minus one-half...
that's half off...this is a "D minus".

120
00:06:25,548 --> 00:06:27,844
Thank you for calling that to my attention.

121
00:06:27,844 --> 00:06:29,217
Oh...

122
00:06:31,426 --> 00:06:34,781
Now wait a darn minute, here!

123
00:06:34,781 --> 00:06:35,895
Mr. Collins?!

124
00:06:35,895 --> 00:06:37,466
What?

125
00:06:37,466 --> 00:06:39,871
Well...

126
00:06:39,871 --> 00:06:41,460
If you're having a problem...

127
00:06:41,460 --> 00:06:44,991
I run a help group after schools...
on Tuesdays and Thursdays.

128
00:06:44,991 --> 00:06:49,130
Whoa, whoa, whoa! 
This guy was gettin' entirely the wrong impression.

129
00:06:49,130 --> 00:06:51,926
I had to nip this in the bud, and fast.

130
00:06:51,926 --> 00:06:56,244
No, it-it's just that...
I don't think of myself as a "D" student.

131
00:06:56,244 --> 00:06:57,976
Really?

132
00:06:57,976 --> 00:07:01,304
Well, it's just that it's a little unusual, 
don't you think?

133
00:07:01,304 --> 00:07:04,526
I mean, a quiz on the second day of school?

134
00:07:04,526 --> 00:07:07,011
O-Kay.

135
00:07:08,991 --> 00:07:16,468
What I'm saying is that...I...
wasn't as prepared as I might have been.

136
00:07:16,468 --> 00:07:22,034
Well...I don't think this is representative...
Of the work I usually do.

137
00:07:22,034 --> 00:07:26,074
Then I look forward to seeing your 
results on future quizzes.

138
00:07:28,239 --> 00:07:30,893
Anything else?

139
00:07:31,898 --> 00:07:34,830
No. That's fine.

140
00:07:34,830 --> 00:07:36,471
Sure. Fine.

141
00:07:36,471 --> 00:07:38,508
Just fine.

142
00:07:38,508 --> 00:07:41,606
If that's how Collins wanted to play it.

143
00:07:41,606 --> 00:07:43,798
Hittin' the books, hah?

144
00:07:43,798 --> 00:07:45,526
Yeah.

145
00:07:45,526 --> 00:07:48,392
Well, go get 'em, tiger.

146
00:07:50,069 --> 00:07:51,684
Sure - I'd get 'em.

147
00:07:51,684 --> 00:07:57,501
Fact was, I hadn't really studied for that first quiz. 
But now, I was serious.

148
00:07:57,501 --> 00:08:00,222
I'd show Collins what I was really made of.

149
00:08:01,268 --> 00:08:03,108
What?!

150
00:08:03,108 --> 00:08:06,498
This was nuts! This was crazy! This was...

151
00:08:06,498 --> 00:08:08,089
Another "D"!

152
00:08:08,089 --> 00:08:12,347
What was going on, here? 
Was I losing my touch?

153
00:08:12,347 --> 00:08:13,924
There had to be another answer.

154
00:08:13,924 --> 00:08:18,028
- Explain this - how could it be a pop-quiz, 
if there's one everyday?
- I don't know...

155
00:08:18,028 --> 00:08:20,405
Of course you don't know...
because there's no logic to it.

156
00:08:20,405 --> 00:08:23,831
I mean, what was that last stuff
he was talking about, that absolute value...?

157
00:08:23,831 --> 00:08:25,760
Half of the class didn't even know 
what he was talking about.

158
00:08:25,760 --> 00:08:28,456
I mean, what is an absolute value, anyway?

159
00:08:28,456 --> 00:08:31,332
It's the value of a number without regard to its sign.

160
00:08:32,500 --> 00:08:35,017
Alright - stupid example.

161
00:08:35,017 --> 00:08:36,698
You're missing the point, Paul.

162
00:08:36,698 --> 00:08:39,963
See, the point is, 
that Collins is just driving us too hard.

163
00:08:39,963 --> 00:08:42,100
I mean, we're all killing ourselves.
What's he going to do?

164
00:08:42,100 --> 00:08:43,601
Give us all "D"'s?

165
00:08:43,601 --> 00:08:47,059
There's a certain look...
That only a trusted friend can give you.

166
00:08:47,059 --> 00:08:51,687
A look that says...
"you're about to make a total fool of yourself".

167
00:08:51,687 --> 00:08:53,280
I was getting that look.

168
00:08:53,280 --> 00:08:55,714
Paul?

169
00:08:55,714 --> 00:08:58,301
What'd you get on the quiz?

170
00:08:58,301 --> 00:09:00,608
I forget.

171
00:09:06,124 --> 00:09:09,362
It doesn't mean anything. 
I just got lucky.

172
00:09:10,504 --> 00:09:12,391
Yeah...

173
00:09:12,391 --> 00:09:15,035
Lucky you.

174
00:09:16,062 --> 00:09:19,069
I'm gonna go get some dessert. 
You want some?

175
00:09:22,860 --> 00:09:27,451
I wasn't hungry. 
What I was, was...

176
00:09:27,451 --> 00:09:34,163
Worried.

177
00:09:34,163 --> 00:09:36,899
We're all goin' out for ice cream - want to come?

178
00:09:36,899 --> 00:09:40,559
Um, no, thanks. Gotta study...

179
00:09:40,559 --> 00:09:42,763
Gonna ace another one, huh?

180
00:09:43,504 --> 00:09:45,725
Yeah.

181
00:09:48,280 --> 00:09:50,540
Dad?

182
00:09:50,540 --> 00:09:53,012
What?

183
00:09:53,803 --> 00:09:56,022
Nothing.

184
00:09:56,428 --> 00:09:58,319
Don't work too hard.

185
00:09:59,121 --> 00:10:01,228
Right.

186
00:10:05,477 --> 00:10:07,672
Maybe I should have said something then.

187
00:10:07,672 --> 00:10:09,920
But for some reason, I didn't.

188
00:10:09,920 --> 00:10:14,093
How could I tell him I wasn't the 
Kevin Arnold he thought I was?

189
00:10:21,198 --> 00:10:25,336
The absolute value...

190
00:10:25,336 --> 00:10:29,354
of negative one...

191
00:10:29,354 --> 00:10:30,607
Is one.

192
00:10:30,607 --> 00:10:38,230
"One is the loneliest number that you'll ever do"

193
00:10:38,230 --> 00:10:40,513
The pressure was increasing.

194
00:10:40,513 --> 00:10:43,537
How's everything going at school, sweetheart?

195
00:10:44,877 --> 00:10:46,763
Uh...fine.

196
00:10:46,763 --> 00:10:48,531
I was living a lie.

197
00:10:48,531 --> 00:10:51,116
And it was only a matter of time before I was found out.

198
00:10:51,116 --> 00:10:52,220
Kevin?

199
00:10:52,220 --> 00:10:55,780
If this pitcher of lemonade make 
eight servings of one cup each,

200
00:10:55,780 --> 00:11:01,216
how many servings will it make 
if the cups are filled Only two-thirds full?

201
00:11:01,216 --> 00:11:03,214
Huh?!

202
00:11:08,632 --> 00:11:09,764
Kevin!

203
00:11:09,764 --> 00:11:13,102
Do you want some lemonade?

204
00:11:13,801 --> 00:11:16,042
Um, no...thanks.

205
00:11:16,042 --> 00:11:17,973
Come on, honey - it's good for you.

206
00:11:17,973 --> 00:11:24,044
Maybe. But the fact was, 
lemonade wasn't going to solve my problems.

207
00:11:24,797 --> 00:11:25,673
That afternoon...

208
00:11:25,673 --> 00:11:30,220
I just happened to pass by Mr. Collins' classroom.

209
00:11:30,738 --> 00:11:33,638
By accident, of course.

210
00:11:33,842 --> 00:11:36,312
So, what was the big deal. 
Maybe I'd drop in...

211
00:11:36,312 --> 00:11:39,674
Get a few tips from the old help-group.

212
00:11:40,308 --> 00:11:42,993
Wait a minute.

213
00:11:43,895 --> 00:11:46,996
This was the help group?

214
00:11:46,996 --> 00:11:52,442
Jeff Bledsoe thought the Boston tea party...
Was a dispute over cheese.

215
00:11:52,942 --> 00:11:58,478
Frank Barnes had been in the eight-grade 
since the Eisenhower administration.

216
00:12:02,025 --> 00:12:04,543
In the delicate ecosystem of junior high...

217
00:12:04,543 --> 00:12:11,467
These guys were - well let's face it 
bottom-feeders.

218
00:12:14,364 --> 00:12:16,752
Are you joining us?

219
00:12:17,503 --> 00:12:19,889
Uh...no.

220
00:12:19,889 --> 00:12:23,725
I just...left something in your class.

221
00:12:24,735 --> 00:12:26,073
My pencil.

222
00:12:26,073 --> 00:12:29,285
I'm giving a major test next week.

223
00:12:29,285 --> 00:12:30,560
It would be a good opportunity...

224
00:12:30,560 --> 00:12:32,616
For you to bring up your grade.

225
00:12:32,616 --> 00:12:35,017
Yeah. Well, uh...

226
00:12:35,017 --> 00:12:36,805
Thanks for telling me, but uh...

227
00:12:36,805 --> 00:12:39,321
I really have to be going.

228
00:12:44,593 --> 00:12:47,670
Sheesh. Who did he think I was? 
Some kind of...

229
00:12:47,670 --> 00:12:49,269
Loser?

230
00:12:53,354 --> 00:12:55,373
- Loser's ball.
- Ugh!

231
00:13:01,639 --> 00:13:03,208
Ugh!

232
00:13:03,455 --> 00:13:06,749
Now I was feeling better.

233
00:13:06,749 --> 00:13:08,580
Fifteen - zip.

234
00:13:08,580 --> 00:13:09,586
Wanna play again?

235
00:13:09,586 --> 00:13:10,950
No thanks.

236
00:13:10,950 --> 00:13:12,185
Why not?

237
00:13:12,185 --> 00:13:14,182
I gotta study for the test.

238
00:13:14,182 --> 00:13:15,603
Ouch!

239
00:13:15,603 --> 00:13:18,064
Oh, come on - one more game.

240
00:13:18,064 --> 00:13:19,553
I can't.

241
00:13:19,553 --> 00:13:21,420
Paul!

242
00:13:21,420 --> 00:13:24,423
We could study together - if you want.

243
00:13:24,423 --> 00:13:26,718
What's that supposed to mean?

244
00:13:26,718 --> 00:13:27,620
Nothing.

245
00:13:27,620 --> 00:13:29,690
I don't need your charity, Paul.

246
00:13:29,690 --> 00:13:31,671
That's not what I meant.

247
00:13:32,180 --> 00:13:33,766
I don't need your help.

248
00:13:33,766 --> 00:13:37,417
Fine! So I'll seeya.

249
00:13:37,417 --> 00:13:40,768
Alright - Mr. Mathlete.

250
00:13:41,418 --> 00:13:42,542
Kevin...

251
00:13:42,542 --> 00:13:46,132
Oh, I'm sorry, Paul, for not being 
as mathletic as you.

252
00:13:46,132 --> 00:13:48,541
I mean, have you ever listened to yourself?

253
00:13:48,541 --> 00:13:51,449
Uh, the absolute value of seven is, uh, three.

254
00:13:51,449 --> 00:13:53,059
Actually, it's seven.

255
00:13:53,059 --> 00:13:55,076
Who cares? Paul...

256
00:13:55,076 --> 00:13:59,656
My life is not so boring...that my only thrill is math.

257
00:13:59,656 --> 00:14:01,515
What do you say to that...
Mr. Wizard?

258
00:14:01,515 --> 00:14:05,079
Good luck on the test, tomorrow.

259
00:14:12,539 --> 00:14:14,381
So what?

260
00:14:14,721 --> 00:14:16,365
I didn't need Paul.

261
00:14:16,365 --> 00:14:18,950
I didn't need anybody.

262
00:14:19,133 --> 00:14:20,997
Put your books on the floor.

263
00:14:20,997 --> 00:14:23,061
All I needed was...

264
00:14:23,061 --> 00:14:24,629
A miracle.

265
00:14:24,629 --> 00:14:27,470
Your desks should be clear of everything 
but your pencils.

266
00:14:27,470 --> 00:14:34,339
If only I could pull off a "B minus", 
or-or a "C", or "C minus"

267
00:14:34,339 --> 00:14:35,149
OK.

268
00:14:35,149 --> 00:14:38,207
Let's just take it slow and easy, here.

269
00:14:38,207 --> 00:14:39,927
From the top...

270
00:14:41,854 --> 00:14:44,228
Question number one.

271
00:14:44,228 --> 00:14:46,902
Hmmm, nothing familiar.

272
00:14:46,902 --> 00:14:51,993
Well, just find a question you know 
how to do, and do that one first.

273
00:15:06,100 --> 00:15:07,537
Pay no attention to that.

274
00:15:07,537 --> 00:15:11,366
Move right along to the next one.

275
00:15:19,963 --> 00:15:22,842
It took about four minutes to attain...

276
00:15:22,842 --> 00:15:25,959
Total panic.

277
00:15:39,285 --> 00:15:40,871
Question three...

278
00:15:40,871 --> 00:15:47,001
Should read five "X", not five.

279
00:15:48,821 --> 00:15:50,047
I was desperate.

280
00:15:50,047 --> 00:15:54,637
I was a drowning man looking for anything to cling to.

281
00:15:55,421 --> 00:15:57,654
Anything.

282
00:16:15,636 --> 00:16:16,773
And that's when I realized...

283
00:16:16,773 --> 00:16:21,364
I'd sunk as low as a person in 
eigth-grade algebra could sink.

284
00:16:28,471 --> 00:16:30,140
And then it was over.

285
00:16:30,140 --> 00:16:33,105
Please turn in your exams.

286
00:16:58,941 --> 00:17:01,687
You don't need to grade it.

287
00:17:03,433 --> 00:17:05,929
I got an "F".

288
00:17:10,394 --> 00:17:13,626
I didn't answer any of the questions.

289
00:17:21,337 --> 00:17:25,042
I don't understand math.

290
00:17:25,042 --> 00:17:27,444
I'm - I'm lousy at it.

291
00:17:27,444 --> 00:17:30,667
I have absolutely no idea what I'm doing.

292
00:17:34,069 --> 00:17:35,599
Good.

293
00:17:36,496 --> 00:17:39,019
Huh?

294
00:17:41,769 --> 00:17:44,784
Maybe now you're ready to start.

295
00:17:48,546 --> 00:17:50,537
Wait a minute.

296
00:17:50,791 --> 00:17:53,405
I just told you - I failed!

297
00:17:53,405 --> 00:17:56,246
There'll be another test in two weeks.

298
00:18:03,781 --> 00:18:05,438
I felt lost.

299
00:18:06,096 --> 00:18:07,865
I felt confused.

300
00:18:09,584 --> 00:18:12,420
I felt alone.

301
00:18:14,173 --> 00:18:16,564
You OK, pal?

302
00:18:22,781 --> 00:18:25,152
Kev?

303
00:18:27,762 --> 00:18:30,480
No, Dad.

304
00:18:32,297 --> 00:18:34,255
I'm not.

305
00:18:47,582 --> 00:18:49,275
The multiplicative inverse property...

306
00:18:49,275 --> 00:18:55,588
Tells us for each real non-zero number, 
"A", there exists a real number, one over "A",

307
00:18:55,588 --> 00:18:58,791
such that "A" times one over "A" equals one.

308
00:18:58,791 --> 00:19:01,687
There are times in life when you think you're lost.

309
00:19:01,687 --> 00:19:03,269
Kevin.

310
00:19:04,323 --> 00:19:07,089
Can you simplify the quotient?

311
00:19:07,089 --> 00:19:09,838
Um...
When every turn you take seems wrong.

312
00:19:09,838 --> 00:19:12,156
One-fifth.

313
00:19:12,156 --> 00:19:14,623
No.

314
00:19:17,813 --> 00:19:20,631
Try again.

315
00:19:20,631 --> 00:19:23,904
Then, just for a moment...

316
00:19:23,904 --> 00:19:25,814
You see a light.

317
00:19:25,814 --> 00:19:27,836
Negative one-fifth.

318
00:19:27,836 --> 00:19:29,821
Correct.

319
00:19:32,972 --> 00:19:38,197
Now you can also simplify...
By using the absolute value of factors.

320
00:19:40,077 --> 00:19:44,338
And so I began that long climb into the light.

321
00:19:44,700 --> 00:19:46,541
Only this time...

322
00:19:46,541 --> 00:19:47,677
I wasn't alone.

323
00:19:47,677 --> 00:19:54,571
"Well the sun is surely sinking down"

324
00:19:54,571 --> 00:20:01,514
"But the moon is slowly rising"

325
00:20:01,514 --> 00:20:08,333
"So this old world must still be spinning around"

326
00:20:08,333 --> 00:20:14,730
"And I still love you"

327
00:20:14,730 --> 00:20:18,737
"So close your eyes"
°¨»çÇÕ´Ï´Ù.

328
00:20:18,737 --> 00:20:23,891
"You can close your eyes, it's all right"
Á¦ÀÛ:iamy1004 (iamy1004@hanmail.net)