@UTF8 @Begin @Languages: eng @Participants: NATH NATHAN Speaker, KATH KATHY Speaker @Options: CA, caps, bullets @ID: eng|SBCSAE|NATH|||||Speaker||| @ID: eng|SBCSAE|KATH|||||Speaker||| @Media: 09, audio @Comment: Zero Equals Zero @Comment: Task-related talk, a teenage couple recorded in Mobile, Alabama. Kathy is helping her boyfriend Nathan prepare for a math test. *NATH: (..) &=in Am I doing that right so far ? 0_13160 *KATH: (..) Mhm . 13160_15240 *NATH: (..) &=tsk All the way down to that ? 15240_17190 *KATH: (..) Mhm . 17190_20370 *KATH: (..) &=tsk &{l=WH I &}l=WH think . 20370_32750 *NATH: (..) I don't think I am . 32750_34870 *NATH: Do you ? 34870_35460 *KATH: (..) &=ex &=in And you'd have to have that plus or minus . 35460_43280 *NATH: &=laugh &=laugh &=laugh &=laugh &=laugh . 43280_44590 *KATH: ⌈ What ⌉ . 44590_45020 *NATH: ⌊ I ⌋ don't know what I did to ge:t that . 44630_46480 *NATH: (.) Where did I get that (.) square root of- +/. 46480_47730 *NATH: um: 47730_48230 (..) ex squa⌈red ⌉ . 48230_49780 *KATH: ⌊ Because ⌋ you brought this (.) over here . 49430_51180 *KATH: (..) You brought (..) three &=in over here . 51180_53900 *KATH: (..) divided by three 53900_55510 &=in and then you have ex squared 55510_56860 so if you want to find ex 56860_57900 you have the square root of ex squared . 57900_59460 *NATH: (..) &{l=X I guess &}l=X all I can't figure out is 59460_68390 what the square root of negative two thir- (.) thi- (.) two thirds is . 68390_71640 *NATH: (..) Would that be . 71640_72740 *KATH: (..) i ⌈ s:quare root two ⌉ . 72740_74570 *NATH: ⌊ i square root two th⌋irds ? 73380_75030 *KATH: (..) o- over three 75030_76130 (..) The whole thing would be over three- . 76130_78030 *KATH: &{l=BR Well &}l=BR . 78030_78430 *KATH: No it couldn't be . 78430_79230 *KATH: (..) Square root of two thirds 79230_81760 yeah . 81760_82140 *NATH: (..) &=in ⌈ &=lengthened &=ex &=lengthened ⌉ . 82140_88300 *KATH: ⌊ But then you got the other one Nathan ⌋ . 86660_87900 *NATH: Oh &=ex 88300_89350 &{l=WH gosh &}l=WH &=ex 89350_91270 (..) hm . 91270_101870 *NATH: (..) Le:ah: . 101870_106190 *NATH: (..) She snoozing on the floor ? 106190_108380 *KATH: (.) Mhm . 108380_108980 *KATH: (..) Not anymore 108980_111280 you woke her u:p . 111280_112280 *NATH: (..) &=laugh &=laugh &=laugh &=laugh . 112280_116060 *KATH: (..) &=laugh &=laugh &=laugh (..) &=laugh &=laugh &=laugh (..) &=in 116060_126450 (..) She's doing the karate kid 126450_128200 Nathan . 128200_128750 *NATH: (.) She's like 128750_129200 lea:ve me alo:ne . 129200_130700 *NATH: (..) &{l=@ Do I deser:ve this &}l=@ . 130700_133150 *NATH: ⌈ &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh . 133150_134760 *KATH: ⌊ &=laugh &=laugh &=laugh &=laugh &=in &=laugh &=laugh &=laugh &=laugh &=in ⌋ . 133150_135710 *NATH: I mean how would you like it ⌉ 134760_135710 when you're laying ⌈2 in be:d . 135710_136710 *KATH: ⌊2 &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh ⌋2 &=in &=laugh &=laugh &=in . 136310_140150 *NATH: somebody just grabbed your arm 136710_137850 started swinging it around ⌉2 . 137850_139250 *KATH: (..) I'd probably just slap em . 140150_141810 *NATH: (..) &=in &{l=P Ex squared equals one over the square root of that 141810_145560 (.) the square root of that 145560_146760 (..) ex equal⌈:s the square root of one &}l=P ⌉ . 146760_149710 *KATH: ⌊ She's not even looking at me . 148180_149200 *KATH: She's just looking 149200_149910 l:ike ⌋ +... 149910_150110 *NATH: (.) I know: . 150110_150730 *NATH: (.) That's what I'm talking about . 150730_151810 *KATH: (..) &=tsk . 151810_153490 *NATH: (..) So . 153490_154940 *NATH: (..) would that one be: 154940_155940 (..) square root of one half ? 155940_157340 *KATH: (..) Mhm . 157340_158170 *NATH: (..) It would ? 158170_159170 *KATH: (..) Mhm . 159170_160210 *KATH: (..) Yep . 160210_163180 *KATH: (..) But do y'all have to do that 163180_165840 (.) um 165840_166340 (..) you have to like 166340_167540 (..) have it where you do that 167540_168490 (.) there's no 168490_169290 &=in (..) um . 169290_170710 *NATH: (..) fraction under the- +... 170710_172060 *KATH: ʔuh under the 172060_172860 (..) in the (.) denominator ? 172860_174510 *KATH: (..) ⌈ I mean no fraction under the ⌉ +... 174510_177570 *NATH: ⌊ Oh: yeah: ⌋ . 176260_177320 *KATH: (..) So then you just multiply: 177570_181030 the whole thing by the square root of two 181030_182630 and you get the square root of two over two . 182630_184130 *KATH: (..) &=laugh &=in ⌈ &=lengthened ⌉ . 184130_187220 *NATH: ⌊ Even f⌋or the top (.) one ? 186870_188110 *NATH: (..) Even for that one ? 188110_190780 *KATH: (..) No: . 190780_192510 *KATH: For- +/. 192510_192660 *KATH: I'm talking about for this one . 192660_193760 *NATH: (..) Oh: . 193760_194820 *NATH: (..) &=in All you do is like go 194820_197270 (.) ⌈ t- (.) two over one ⌉ . 197270_198670 *KATH: ⌊ You have the square root of one: ⌋ . 197390_198670 *NATH: like that 198670_199270 right ? 199270_199720 *KATH: (..) M-m . 199720_201190 *KATH: (..) Since you have the square root of two on the bottom 201190_204000 (..) to make that a square 204000_205080 you have to multiply by the square root of two . 205080_206890 *KATH: (..) &=in And then you get two: 206890_208790 &=in and you multiply the top by the square root of two 208790_211090 (.) and you get 211090_211740 (.) square root of two . 211740_212540 *NATH: (..) &=laugh &=laugh &=laugh ⌈ &=laugh &=laugh &=laugh &=laugh ⌉ . 212540_215440 *KATH: ⌊ &=laugh &=laugh &=laugh 213610_214590 What: [% laugh] ⌋ . 214590_215440 *NATH: I wanna rewind it and hear tha:t back ⌈2 again . 215440_217740 *KATH: ⌊2 &=laugh &=laugh &=laugh &=in &=laugh &=laugh &=laugh &=in &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh ⌋2 &=laugh &=laugh &=laugh &=laugh &=laugh &=in . 217240_221820 *NATH: Cause I sure didn't catch it the first [% laugh] time [% laugh] &=laugh &=laugh &=laugh ⌉2 . 217740_220270 *NATH: &=in &=ex (..) &=ex 221820_224730 You got the two 224730_225430 and you take the square ⌈ root of two ⌉ . 225430_226580 *KATH: ⌊ &=laugh &=laugh ⌋ . 225950_226500 *NATH: and you get the negative ⌈2 two ⌉2 . 226580_227980 *KATH: ⌊2 &=laugh ⌋2 . 227380_227580 *NATH: which you take ⌈3 (.) the square . 227980_229530 *KATH: ⌊3 &=laugh &=laugh &=laugh &=laugh &=in ⌋3 . 228430_230080 *NATH: and it comes ⌉3 to two . 229530_230630 *KATH: &=laugh &=laugh &=laugh &=in 230630_231770 I'm sorry 231770_232770 &=in . 232770_233460 *NATH: &=ex (..) So . 233460_239520 *NATH: (..) let's talk about this slow:ly: 239520_241810 as I wr:ite this down 241810_242960 as you're saying it . 242960_243770 *NATH: (.) Alright ? 243770_244220 *NATH: (..) &=in &=tsk (.) This is what we came out with . 244220_246540 *NATH: Right ? 246540_246870 *KATH: It's +/. 246870_247260 *KATH: But put it as the square root of o:ne 247260_249370 (..) over the square root of two: . 249370_251070 *NATH: (.) Oh: . 251070_252720 *NATH: (.) &=tsk &=in And then you (.) multiply that by the square root of two: 252720_255470 over the square root of tw⌈o . 255470_256970 *KATH: ⌊ Ri:ght ⌋ . 256570_257370 *NATH: &=in Uh ⌉ 256970_257470 is that what all ⌈2 those square root of twos are [% laugh] ? 257470_259370 *KATH: ⌊2 &{l=@ That's what I was try- &}l=@ +/. 258020_259020 *KATH: &=laugh &=laugh &=laugh &=in &=laugh &=laugh &=laugh &=in ⌋2 . 259020_260070 *NATH: &=laugh &=laugh &=laugh &=laugh ⌉2 . 259370_260070 *KATH: That's [% laugh] what I was trying ⌈3 to say: ⌉3 . 260070_261670 *NATH: ⌊3 &=laugh &=in ⌋3 Okay 260840_261900 I was wondering where all that 261900_262670 square root two: 262670_263500 square root ⌈ two: ⌉ . 263500_264250 *KATH: ⌊ &=laugh ⌋ &=laugh &=laugh &=in ⌈2 That's what it was ⌉2 . 264000_266200 *NATH: ⌊2 Then right here you'd ⌋2 get 265420_266470 (..) square root of two (.) over two . 266470_268670 *KATH: (..) Mhm . 268670_269880 *NATH: (..) See everything was (..) square root two: 269880_272850 over two: 272850_273400 and two . 273400_273900 *KATH: &=in Right 273900_274640 but then 274640_275050 (.) &=in what about (..) ⌈ this one ⌉ . 275050_276700 *NATH: ⌊ o:n this o⌋ne . 276220_276820 *NATH: Let me do this one . 276820_277620 *NATH: (.) ⌈ &=SWALLOW ⌉ . 277620_278020 *KATH: ⌊ But ⌋ 277870_278210 you have iʔ- +/. 278210_278520 *KATH: (.) you have i: square root of three 278520_280270 (.) over square root of three . 280270_281270 *KATH: (..) I mean z- +/. 281270_281870 *KATH: &=laugh &=in &=laugh i square root of two over three- +/. 281870_284970 *KATH: square root of three [% laugh] &=laugh &=laugh . 284970_285890 *KATH: &=laugh I [% laugh] can't [% laugh] even say it right . 285890_287670 *KATH: &=in . 287670_288320 *NATH: (.) Over 288320_289170 (..) do I have another i down here 289170_291170 or just (.) the one ⌈ i: ⌉ . 291170_292520 *KATH: ⌊ Um: ⌋ 292120_292670 (..) no . 292670_294030 *KATH: (.) Just one . 294030_294680 *NATH: (..) Okay 294680_295380 (..) &{l=P three &{l=X and &}l=X square root of three 295380_297910 over square root of three 297910_299030 and you get &}l=P 299030_299580 (.) &=in &=lengthened . 299580_300790 *KATH: (..) i square root of six . 300790_302740 *NATH: (..) Yeah . 302740_304570 *NATH: (..) Over three . 304570_305770 *KATH: (..) Is that ri:ght ? 305770_311940 *NATH: (.) &=tsk I doubt it . 311940_312990 *NATH: (..) &=laugh &=laugh ⌈ &=laugh &=laugh I really do . 312990_315730 *KATH: ⌊ &=laugh &=laugh &=laugh &=in &=laugh &=laugh &=in &=ex ⌋ . 314250_316340 *NATH: I'm not kidding ⌉ . 315730_316490 *KATH: (.) You can't +/. 316490_317140 *KATH: (..) You can't multiply: 317140_318540 (.) square roots like that 318540_319540 can you ? 319540_319990 *KATH: (..) Square root of two 319990_322540 (.) times square root of three 322540_323490 (..) is square root of six 323490_324590 (.) is it ? 324590_325140 *NATH: (.) Yeah . 325140_325840 *KATH: (.) Okay . 325840_326290 *KATH: (.) Well 326290_326590 (.) then that's fine . 326590_327290 *KATH: (.) ⌈ Then that is right ⌉ . 327290_328210 *NATH: ⌊ Isn't that c- +/. 327410_327960 *NATH: You ⌋ ca:n do that . 327960_329060 *KATH: (..) Yeah . 329060_329710 *NATH: (.) Cause that's the same way you're multiplying there 329710_331460 (.) square root of nine 331460_332410 (.) that- +/. 332410_332660 *NATH: and square root of nine equals three . 332660_334010 *KATH: (.) Yeah 334010_334560 (..) &{l=P okay &}l=P . 334560_338160 *KATH: (..) Where's the test . 338160_341490 *NATH: (..) &{l=P There ain't no: telling &}l=P . 341490_343160 *NATH: (..) &=in &=SIGH ⌈ &=lengthened ⌉ . 343160_347900 *KATH: ⌊ You have it ⌋ . 347100_347850 *KATH: (..) I mean I have it . 347900_351390 *KATH: (..) &=laugh &=laugh &=laugh &=in &=ex &=in 351390_354020 (..) Okay . 354020_354670 *KATH: (.) The next one 354670_355520 (..) is 355520_356270 (..) &=tsk &=in &=THROAT 356270_360570 (..) &=tsk five ex 360570_361970 (..) times (..) ex minus one 361970_364420 (..) &=COUGH ⌈ &=COUGH ⌉ . 364420_368550 *NATH: ⌊ Is that ⌋ it ? 368230_368980 *KATH: (..) &=tsk &=in ⌈2 &=lengthened ⌉2 . 368980_370680 *NATH: ⌊2 &{l=X um: &}l=X ⌋2 . 370330_370740 *KATH: (..) equals 370740_371530 (..) two 371530_372080 (..) times one minus ex . 372080_373580 *NATH: (..) &=laugh &=laugh &=laugh &=laugh &=laugh &=in Le:ah: . 373580_379540 *KATH: (..) &=laugh &=laugh &=laugh &=in &=laugh ⌈ &=laugh ⌉ . 379540_382860 *NATH: ⌊ Two ⌋ times one minus ex ? 382720_384240 *KATH: (.) Yeah . 384240_384540 *KATH: (..) And that's easy 384540_386260 you can do that . 386260_387010 *NATH: (..) Oh this is easy . 387010_401460 *NATH: (..) &{l=P Ex squared &}l=P . 401460_404780 *NATH: (..) Please say this will factor ? 404780_421580 *NATH: (..) Will it ? 421580_422430 *KATH: (..) Na 422430_424210 (.) you do it . 424210_424860 *NATH: (.) &=tsk &=in Well 424860_425520 I mean 425520_425810 that's just wasting time . 425810_426860 *NATH: Cause if it's no⌈:t ⌉ . 426860_427660 *KATH: ⌊ Yeah ⌋ . 427460_428010 *NATH: (.) It does ? 428010_428730 *KATH: (.) Mhm . 428730_429160 *NATH: (..) One and negative two-fifths ? 429160_459450 *KATH: (.) Mhm . 459450_460000 *NATH: (..) &=in And I can al⌈ways put tho⌉se back up into the to:p . 460000_465800 *KATH: ⌊ &=THROAT ⌋ . 464190_464640 *NATH: and 465800_466030 (..) and see if they check . 466030_468260 *NATH: Right ? 468260_468760 *NATH: (..) &=in &{l=X Let me &}l=X just try the one ? 468760_471110 *NATH: (..) &{l=X Fi:ve &}l=X 471110_473620 &=THROAT 473620_474470 (..) I got zero equals ʔzero: . 474470_488690 *NATH: ⌈ &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh ⌉ . 488690_489930 *KATH: ⌊ Tha- that's right . 488690_489610 *KATH: &=laugh &=laugh &=laugh ⌋ ⌈2 &=laugh ⌉2 . 489610_490250 *NATH: ⌊2 And th⌋2at's one ? 490040_490840 *KATH: (..) &=in Yeah . 490840_491840 *KATH: (..) &=laugh &=laugh &=laugh &=laugh &=in &=laugh &=laugh ⌈ &=in ⌉ . 491840_496790 *NATH: ⌊ &{l=% Zero ⌋ equals zero equals one &}l=% . 496540_498520 *KATH: (..) &=laugh &=laugh &=laugh &=laugh &=in (..) Okay . 498520_501280 *NATH: (..) &{l=SING &{l=X Fingerprint file: &}l=X 501280_504330 &=ex &=lengthened you got me dow:n . 504330_506280 *KATH: &=laugh &=laugh &=laugh &=laugh . 506280_507040 *NATH: Come on &}l=SING . 507040_507490 *KATH: &=in Ex 507490_508790 (..) times . 508790_510050 *NATH: (.) Hang on . 510050_510700 *NATH: (.) Number eight . 510700_511450 *NATH: (..) &=in Ex 511450_514470 (..) times . 514470_515620 *KATH: (.) two: minus ex . 515620_516820 *NATH: (..) Two minus ex . 516820_518370 *KATH: &=in is less than or equal to . 518370_520020 *NATH: &=WHISTLE 520020_521600 (..) ⌈ I don't like these ⌉ . 521600_523670 *KATH: ⌊ three times ex ⌋ 522620_523670 (.) minus four . 523670_524370 *NATH: (..) Three times e:x 524370_526090 minus four ? 526090_526900 *KATH: (.) Right . 526900_527350 *NATH: (..) &=tsk &=in Alright 527350_528710 (..) distribute first 528710_530250 right ? 530250_530560 *KATH: Mhm . 530560_531110 *NATH: &=in (..) &{l=P Two ex minus: (.) ex squa:red 531110_535440 (..) three ex minus tw:el:v:e 535440_540060 (..) you get 540060_541410 (..) &{l=WH do that side 541410_545530 so you get (.) ex &}l=WH 545530_546980 (.) whoa . 546980_547480 *NATH: I don't want to do that . 547480_548530 *NATH: (..) Negativ:e ex squa:red 548530_553830 (..) &{l=WH &{l=X two ex minus XX 553830_560520 two minus ex 560520_562200 (..) &=in um 562200_564910 plus twelve XXXX &}l=X &}l=WH &}l=P 564910_569090 (..) &=tsk &=tsk &=tsk (..) Now do you factor this ? 569090_574480 *NATH: (..) after you do that ? 574480_575430 *KATH: (..) Yeah . 575430_581650 *NATH: (..) Yeah . 581650_582450 *NATH: (..) &=in Oh but first I gotta take out that negative one 582450_585100 don't +/. 585100_585300 *NATH: I mean that negative . 585300_586100 *KATH: (..) ⌈ Mhm ⌉ . 586100_588080 *NATH: ⌊ in front ⌋ of that ex squared so I just 587790_589340 (.) &=in I can multiply that whole side by (.) negative one &{l=X again though &}l=X ? 589340_592790 *KATH: (.) Yeah . 592790_593040 *KATH: Then you flip that sign over . 593040_594440 *NATH: (..) I have to flip that sign over if I do that ? 594440_596790 *KATH: Mhm . 596790_597190 *NATH: (..) See it's little rules like that 597190_599690 (.) that I'm not gonna remember . 599690_600840 *NATH: (..) So if it's a +/. 600840_606090 *NATH: (.) if it's less than or equal to 606090_607740 then 607740_607990 &=in and there's a minus: 607990_609960 you have to flip the si:gn . 609960_611420 *NATH: (..) Okay . 611420_612870 *NATH: (..) Are you tired ? 612870_630100 *KATH: (..) &{l=P N:ot really . 630100_632820 *KATH: (..) I mean kind of but . 632820_634720 *NATH: (..) I'm gonna go home in just a few minutes . 634720_641570 *KATH: Why &}l=P . 641570_642370 *NATH: (.) &=in Cause I can work on this (.) at home 642370_644270 and let you get some sleep . 644270_645320 *KATH: (.) &=ex &=HITS_NATHAN_WITH_PAPER . 645320_647180 *NATH: (..) Ouch . 647180_648230 *NATH: (..) &=SNIFF &=THROAT 648230_652960 (.) Okay: . 652960_653510 *NATH: (..) S:: &=in so you say ex (.) plus four ? 653510_658620 *NATH: (..) is greater than or equal to zero X ? 658620_660320 *NATH: (..) &=in &{l=P So you say: 660320_662850 (..) ex is greater than or equal to: 662850_667220 negative four 667220_668360 (..) a:nd 668360_670710 ex &}l=P 670710_671610 (..) three . 671610_674190 *KATH: (..) Or . 674190_675040 *NATH: (..) Oh 675040_676350 is that one of the ones where you have to do or ? 676350_677850 *KATH: (.) Yeah . 677850_678250 *NATH: (..) &=in And if it's 678250_683880 (..) less tha:n 683880_685430 (..) do you still do or ? 685430_688820 *KATH: (..) &=in No that's if it's um: 688820_691070 (..) in the 691070_692090 in the b- 692090_692490 in between ? 692490_693240 *KATH: (..) those two number:s 693240_694490 you know ? 694490_694940 *KATH: (..) If there's like a 694940_696290 (..) &=in like this one don't look . 696290_697740 *KATH: &=in (..) But if there's like a 697740_698940 (..) ex (.) in the middle . 698940_701140 *NATH: &=in ⌈ &=lengthened ⌉ . 701140_701690 *KATH: ⌊ Well no ⌋ that's a or . 701390_702590 *KATH: (.) &=in If you have like o:ne number on one si⌈de . 702590_704390 *NATH: ⌊ &{l=P Mm &}l=P ⌋ . 704230_704480 *KATH: and it ⌉ say⌈2s . 704390_704870 *NATH: ⌊2 Yes . 704820_705230 *KATH: greater than or ⌉2 equal to ex . 704870_706050 *NATH: like ⌋2 . 705230_705500 *KATH: and than l- 706050_706350 that one's less than or equal ⌈ to ⌉ +... 706350_707700 *NATH: ⌊ like ⌋ two: 707450_708450 (.) is less than or equal to ex . 708450_710150 *KATH: is ⌈ less than: ⌉ or e⌈2qual to ⌉2 . 710150_711800 *NATH: ⌊ which is ⌋ 710350_710850 ⌊2 XX ⌋2 711150_711600 ʔuh: ⌈3 less than ⌉3 or equal to⌈4ʔuh: ⌉4 . 711800_713300 *KATH: ⌊3 less tha- ⌋3 +/. 712150_712500 *KATH: ⌊4 less ⌋4 than or equal to . 713000_713850 *NATH: (.) six . 713850_714600 *KATH: (.) Right . 714600_715050 *NATH: &=SWALLOW (..) &=THROAT 715050_717680 (..) So the final ans- +/. 717680_719980 *NATH: So that's the answer . 719980_720880 *NATH: (..) ⌈ Right ⌉ ? 720880_721630 *KATH: ⌊ Mhm ⌋ . 721320_721630 *NATH: (..) &=ex (..) &{l=P Number ni:ne &}l=P . 721630_729790 *KATH: (..) Okay . 729790_731290 *KATH: (.) I don't know this one so: . 731290_732890 *NATH: (.) You don't know how to do this one ? 732890_733940 *NATH: (..) So we in trouble . 733940_736040 *KATH: (..) Well you apparently knew how to do it . 736040_738940 *NATH: (.) Did I get it right ? 738940_739940 *KATH: (..) &=in Well you didn't (.) get the whole thing right . 739940_742440 *NATH: (.) &=laugh &=laugh ⌈ &=laugh &=in XX ⌉ . 742440_744110 *KATH: ⌊ &=in 743110_743710 But you- ⌋ 743710_744110 Well you just missed one part of it . 744110_745710 *NATH: (..) So what's that p:roblem . 745710_747160 *KATH: (..) Um 747160_748210 (..) absolute value . 748210_749910 *NATH: (..) Okay . 749910_751670 *KATH: &=in (.) of (.) one-half 751670_753220 (..) minus ex over three . 753220_755140 *NATH: (..) &=WHISTLE 755140_756770 (..) Ex over three 756770_760330 (..) oops . 760330_761330 *NATH: (..) Okay . 761330_764540 *KATH: (..) is less 764540_765780 (.) I mean is greater than or equal to 765780_767030 (..) two-thirds . 767030_768680 *NATH: (..) Just (.) plain old (.) two-thirds ? 768680_771030 *KATH: Mhm . 771030_771330 *NATH: &=in (..) &=in How do you get rid of the absolute value things ? 771330_783640 *NATH: (..) ⌈ Don't ⌉ you . 783640_786920 *KATH: ⌊ &{l=X ʔI don't &}l=X ⌋ +/. 786330_786680 *KATH: (..) &=tsk &=in You put 786920_789990 (.) is less than or equal: to two-thirds . 789990_792040 *KATH: (..) Or is greater tha:n 792040_794160 (..) I mean 794160_794710 (.) is greater than or equal to (.) two-thirds 794710_796810 (..) and then 796810_799090 (..) don't you have like 799090_802530 (.) i- or is less than 802530_803880 (..) a:nd is less than or equal to 803880_806580 (..) negative two thirds ? 806580_810370 *NATH: (..) Wh:at ? 810370_812970 *NATH: (..) Can I see what I did . 812970_827800 *KATH: (..) &=in Yeah . 827800_828750 *KATH: But when you +/. 828750_829250 *KATH: (.) when you have absolute value: 829250_830650 (..) when you take the absolute value off 830650_832800 &=in and you put negative two-thirds (.) on this side 832800_835200 too: . 835200_835700 *NATH: (..) First I'll just get a common denominator . 835700_839390 *NATH: (..) So I can do that . 839390_841780 *KATH: You can't ⌈ do it ⌉ when it's in the (.) absolute value . 841780_843750 *NATH: ⌊ XX ⌋ . 842200_842400 *KATH: though . 843750_843990 *NATH: (..) Well I did (.) right there . 843990_846580 *NATH: (..) Is that why I missed it ? 846580_849190 *KATH: (..) &=in &=tsk But see if you wanna do that 849190_854870 then at first ⌈ you bring ⌉ . 854870_855870 *NATH: ⌊ &=THROAT So ⌋ I only did one part of it ⌈2 in other words ⌉2 . 855490_857790 *KATH: ⌊2 Mhm ⌋2 . 857140_857540 *KATH: (..) Just bring nega- +/. 857790_859710 *KATH: (.) Just bring two-thirds 859710_860960 (..) over to the other side . 860960_862160 *KATH: Negative two-thirds 862160_863120 over to the other side . 863120_864340 *NATH: (..) And make it equal to zero ? 864340_866340 *KATH: (..) No . 866340_867490 *KATH: No keep that there 867490_869040 (.) &=in But then have . 869040_870340 *NATH: Another one over there ? 870340_871740 *KATH: Yeah 871740_872140 have 872140_872590 (..) is (.) less than or equal to 872590_874990 (.) &=in negative two (..) thirds . 874990_877940 *KATH: (..) And that's not absolute value anymore . 877940_879790 *NATH: (..) Well see: 879790_889190 (..) &=in we've never done it like that . 889190_891740 *NATH: &=laugh &=laugh &=laugh &=in . 891740_892890 *KATH: (..) Let me see . 892890_894040 *KATH: (..) If that's how you do it . 894040_896600 *NATH: (..) I mean I'm sure you probably can do it that ⌈ way: ⌉ . 896600_899350 *KATH: ⌊ I don't know: ⌋ 898800_899350 if that's how you do it or not . 899350_900750 *KATH: (..) Cause 900750_901450 I haven't done this 901450_902400 (..) in probably about as long as you have . 902400_904400 *KATH: (.) &=in Oops . 904400_905650 *KATH: (..) &=in &=ex (..) &{l=WH God &}l=WH . 905650_912640 *NATH: (..) It's my own fault 912640_914770 I shouldn't have waited . 914770_915570 *NATH: (..) so long to get math over with . 915570_918940 *NATH: (..) I should've g:ot it over with right out 918940_922180 right out of high school . 922180_923280 *KATH: (..) &=GASP . 923280_926510 *NATH: &=DRINK . 926510_927310 *KATH: Oo⌈: ⌉ . 927310_927960 *NATH: ⌊ &=ex ⌋ . 927580_928210 *KATH: (..) A bu:g . 928210_929610 *NATH: (..) Hey Le:ah . 929610_951140 *NATH: &=in (..) &=in (..) She looks so ti:red . 951140_971580 *KATH: (..) I know . 971580_973100 *NATH: (..) She's eating that bu:g . 973100_974650 *KATH: (..) &=laugh &=laugh &=laugh &=laugh &=laugh &=in &=laugh &=in . 974650_977520 *NATH: (..) ⌈ Is that what she's ⌉ doing ? 977520_978870 *KATH: ⌊ Yuck ⌋ . 978070_978520 *KATH: (..) I guess . 978870_980220 *KATH: (..) Yeah 980220_985820 that's how you do it . 985820_986520 *NATH: (..) You can do it that way ? 986520_991360 *KATH: (.) Mhm . 991360_991860 *NATH: (..) &=BURP Let me see the pencil &=ex . 991860_995160 *KATH: (..) &=in But then 995160_997670 I didn't get what she got . 997670_998980 *KATH: (..) I guess she +/. 998980_1002080 *KATH: Yeah 1002080_1002300 you can &{l=X put it &}l=X so . 1002300_1003100 *KATH: (..) &{l=X &{l=WH square root of that &}l=WH &}l=X +/. 1003100_1004800 *KATH: (.) Oh no 1004800_1005700 it's not gonna work that way . 1005700_1006690 *KATH: You don't have it in the middle . 1006690_1007750 *KATH: (.) See I put it in the middle ? 1007750_1008950 *KATH: &=in (.) Seven (.) halves 1008950_1010950 is greater than or equal to- +/. 1010950_1011850 *KATH: &=in But you can't put it in the middle 1011850_1013150 cause if it's (.) gonna be g- +/. 1013150_1014200 *KATH: (..) &=ex &=in Yeah if it's gonna be greater than that 1014200_1018650 then it's not gonna be less: than that . 1018650_1020100 *KATH: (..) Well I guess it can . 1020100_1021800 *NATH: (..) &=in (.) &{l=WH God &}l=WH . 1021800_1023650 *NATH: (..) &=in So one way I ⌈ could do it &=ex ⌉ . 1023650_1026970 *KATH: ⌊ &=in Well s- +/. 1025820_1026470 *KATH: (.) No: ⌋ . 1026470_1026970 *KATH: Wait a minute now . 1026970_1027570 *KATH: See 1027570_1027730 l- look what she di:d . 1027730_1028770 *KATH: (..) &=in She u:m 1028770_1030270 (..) flipped that sign over . 1030270_1031720 *KATH: (..) &{l=X But &}l=X 1031720_1034440 (.) uh 1034440_1034940 (..) when she- ʔyou divide by negative two 1034940_1036380 you have to flip all the signs over . 1036380_1037740 *KATH: (..) which you k- did . 1037740_1040040 *KATH: (.) Yeah 1040040_1040390 cause you got that right 1040390_1041190 (.) ⌈ it's right here ⌉ . 1041190_1041890 *NATH: ⌊ &=in ⌋ Oh go:sh . 1041290_1043090 *NATH: (.) &=in You know what 1043090_1043890 (.) I'm just gonna skip this one . 1043890_1045340 *KATH: (..) No you're not 1045340_1046440 (.) you're gonna do it . 1046440_1047190 *KATH: (..) Now . 1047190_1048240 *NATH: (..) So I can't start by d- +... 1048240_1060770 *KATH: (..) &=in Unh-unh . 1060770_1062270 *KATH: (.) Not finding a common denominator . 1062270_1063750 *KATH: You have to ha- bring . 1063750_1064520 *NATH: Well I can do +/. 1064520_1065070 *NATH: find one side by doing that 1065070_1066370 can't I ? 1066370_1066770 *KATH: (..) Yeah but 1066770_1068070 why don't you p- (.) just put the other +/. 1068070_1069570 *KATH: (..) put +/. 1069570_1070070 *KATH: (.) &=in once you have n:egative two-thirds on the other side 1070070_1072520 then you can find a common denom- f- na- +/. 1072520_1074020 *KATH: buh buh buh buh 1074020_1074770 (..) &=in common denominator for the whole thing 1074770_1076800 and it's gonna be the same (..) denominat⌈or ⌉ . 1076800_1078670 *NATH: ⌊ Well ⌋ what's the common denominator of bluh bluh bluh bluh ⌈2 bluh bluh bluh: . 1078520_1081470 *KATH: ⌊2 &=laugh &=laugh &=laugh &=laugh . 1080840_1081840 *NATH: &=in &=laugh &=laugh &=laugh &=laugh &=laugh &=laugh &=in ⌉2 . 1081840_1083760 *KATH: &=in &=laugh &=laugh &=laugh &=in I didn't mean ⌋2 tha:t . 1081840_1084260 *KATH: (..) ⌈3 I meant ⌉3 once you bring ⌈4 it over there ⌉4 . 1084260_1086460 *NATH: ⌊3 &=SNIFF ⌋3 1084580_1084930 ⌊4 I know what you ⌋4 meant . 1085580_1086780 *NATH: (..) &=in I don't ever remember us doing anything like that though . 1086780_1092010 *NATH: &{l=Q Well add it onto the other side &}l=Q . 1092010_1093660 *NATH: (.) &=in There's like a way you always can get rid of those absolute value bars . 1093660_1097410 *NATH: (..) in problems 1097410_1099100 isn't there ? 1099100_1099510 *NATH: (..) &{l=X Hey &}l=X . 1099510_1112300 *NATH: (..) Can I u:se some of this ? 1112300_1113900 *KATH: (..) &=in Oh . 1113900_1115220 *KATH: Yeah . 1115220_1115540 *KATH: (..) ʔuh_Mm . 1115540_1124300 *KATH: (.) &=tsk See 1124300_1125290 (..) yeah . 1125290_1126480 *KATH: &=in (.) Here it's absolute values . 1126480_1128280 *KATH: (..) Right here . 1128280_1132830 *NATH: &=in &=tsk And it's doing it the way that you were doing it ? 1132830_1134930 *KATH: (..) I'm trying to find one l:ike tha:t one [% laugh] . 1134930_1152080 *NATH: (.) &=laugh &=in See that's the problem 1152080_1153560 there's so many different ty:pes . 1153560_1154930 *NATH: (..) &=in That 1154930_1155920 (.) I'm sitting here st- worrying about this one right here 1155920_1158270 and there probably won't even be l- one like this on the test . 1158270_1160370 *KATH: (..) I know . 1160370_1161720 *NATH: (.) There'll be a different one . 1161720_1162720 *KATH: (..) &=in So what do you do . 1162720_1164320 *KATH: (..) You find a inequality 1164320_1169170 (..) with (..) an absolute value in it which 1169170_1172290 &=in there's one right there . 1172290_1173540 *KATH: (..) Mhm . 1173540_1174240 *KATH: (..) See ? 1174240_1174790 *KATH: (..) I sure didn't see any in the +... 1174790_1181630 *NATH: (..) examples . 1181630_1182930 *KATH: (..) Hm-m . 1182930_1183770 *KATH: (..) &=tsk (..) See ? 1183770_1190870 *KATH: (.) There's no +/. 1190870_1191620 *KATH: (..) &=tsk ⌈ There it is . 1191620_1196630 *NATH: ⌊ &=in &=lengthened &=THROAT ⌋ . 1195200_1198160 *KATH: (.) See ? 1196630_1197260 *KATH: (.) Here it is ⌉ . 1197260_1197960 *KATH: (.) &=in Absolute value of that 1197960_1199760 (.) you brought 1199760_1200610 (..) ʔuh ʔuh brought negative four (.) over to the other si:de . 1200610_1203160 *NATH: (..) &{l=P O:kay: (..) &=SWALLOW &}l=P . 1203160_1210040 *KATH: (..) And ⌈ all that ⌉ +... 1210040_1214310 *NATH: ⌊ See that ⌋ just proves that she puts problems on there that we've never go:ne over . 1214050_1217270 *NATH: (..) I know we've never done one like that . 1217270_1219920 *NATH: (.) where you do that 1219920_1221120 (..) &=in Can you +/. 1221120_1237980 *NATH: Do you wanna do that when it's less than 1237980_1239580 or can you do that when it's greater than too . 1239580_1241280 *KATH: (..) Yeah . 1241280_1241780 *KATH: (..) Th- +/. 1241780_1242530 *KATH: Either way . 1242530_1243180 *NATH: (..) So if it's pointed this way 1243180_1244280 you just put another one pointing this way over here . 1244280_1246230 *KATH: (..) Right . 1246230_1247030 *NATH: (..) Okay . 1247030_1247930 *KATH: (..) &{l=WH Where'd you get that one &}l=WH . 1247930_1252590 *KATH: (..) &=laugh &=laugh 1252590_1253590 (.) &=ex &=in ⌈ &{l=@ That's a big one &}l=@ ⌉ &=ex &=in . 1253590_1256040 *NATH: ⌊ &=ex &=lengthened ⌋ 1254640_1255490 (.) You're not kidding X . 1256040_1257090 *KATH: That's my thumbnail . 1257090_1258090 *NATH: (..) &=SIGH 1258090_1276750 (..) &=SNIFF . 1276750_1277500 *KATH: (..) &=SWALLOW . 1277500_1279660 *NATH: (..) &=YAWN 1279660_1283440 &=in (..) Now I just get a common denominator for the whole: thi:ng ? 1283440_1286940 *KATH: (..) Mhm . 1286940_1287820 *KATH: (..) Well 1287820_1288570 take out those (.) absolute value things 1288570_1290640 they'll screw you up . 1290640_1291540 *NATH: ʔYeah . 1291540_1291970 *NATH: (..) And now this'll be six 1291970_1295960 right ? 1295960_1296320 *NATH: (..) &=SWALLOW &=ex 1296320_1299080 (..) Is that right ? 1299080_1311360 *KATH: (..) Mhm . 1311360_1313070 *NATH: (..) Now what do you do . 1313070_1318640 *KATH: (..) Subtract three: . 1318640_1319790 *KATH: (.) from the middle . 1319790_1320640 *NATH: (..) And y- +/. 1320640_1321390 *NATH: (..) To which side . 1321390_1323040 *KATH: (.) To both sides . 1323040_1323870 *NATH: (.) To both sides ? 1323870_1324770 *NATH: (..) Okay . 1324770_1326190 *KATH: (..) &=THROAT . 1326190_1328220 *NATH: (..) &{l=P Negative XX &}l=P . 1328220_1331830 *KATH: (..) two ex . 1331830_1337710 *NATH: (..) Alright . 1337710_1338960 *NATH: (..) &=in &{l=P To one 1338960_1341670 then 1341670_1342100 after that you have to: &}l=P 1342100_1344960 take out the negatives . 1344960_1346040 *KATH: (..) Yeah . 1346040_1347040 *KATH: Divide by +/. 1347040_1347590 *KATH: Well just ta- +/. 1347590_1348090 *KATH: Divide by negative two . 1348090_1349240 *NATH: (..) Oh: 1349240_1351190 ⌈ you can't ⌉ get that by . 1351190_1351990 *KATH: ⌊ XX ⌋ . 1351240_1351490 *NATH: ex by itself ? 1351990_1352940 *KATH: (..) Yeah . 1352940_1353680 *NATH: &=in . 1353680_1354250 *KATH: (..) And when you divide by a ne⌈gative ⌉ . 1354250_1356690 *NATH: ⌊ &=ex ⌋ . 1356160_1356760 *KATH: (.) ⌈2 you have to flip the signs ⌉2 . 1356690_1358050 *NATH: ⌊2 &=tsk Yeah: ⌋2 . 1356860_1357660 *NATH: &=in (.) Okay . 1358050_1359590 *KATH: (..) And when you do that 1359590_1375620 (.) it's gonna be a o:r . 1375620_1376770 *KATH: (..) &=in Because if you look at it 1376770_1378720 (..) cause 1378720_1379520 you know 1379520_1379720 it can't be greater (..) than seven-halves 1379720_1382300 (..) and less than negative halve at the sa- 1382300_1384720 one-half at the same time . 1384720_1386070 *KATH: (..) So it's gonna be either ex 1386070_1388470 (.) is less than or equal to negative (..) one-half 1388470_1391020 (.) &=in or . 1391020_1392220 *NATH: (..) Okay . 1392220_1395400 *KATH: (..) &=SNIFF (.) &=SWALLOW . 1395400_1400220 *NATH: (..) &=ex &=lengthened 1400220_1403860 (..) &{l=P Will you pass me some of that tea please . 1403860_1409620 *NATH: &=in (..) Oh: 1409620_1411910 thank you . 1411910_1412460 *NATH: (..) &=DRINK &=ex &=DRINK &=ex 1412460_1417310 (..) &=in Number te:n . 1417310_1420220 *NATH: How many problems are on this test &}l=P . 1420220_1421840 *KATH: (..) Twelve . 1421840_1426200 *NATH: (..) Oh good . 1426200_1427300 *KATH: (..) What did you want to do after this test . 1427300_1430150 *NATH: (..) That's it 1430150_1431200 (.) I guess . 1431200_1432050 *KATH: (..) You gonna study some more tomorrow then 1432050_1434370 right ? 1434370_1434750 *NATH: (..) Oh definitely . 1434750_1436570 *KATH: (..) Okay . 1436570_1437520 *KATH: (..) Ex plus four 1437520_1438970 (..) over 1438970_1442740 (..) three ex minus two 1442740_1444190 (..) is less than zero . 1444190_1446790 *NATH: (..) &{l=WH Is &}l=WH less than zero . 1446790_1450850 *KATH: (..) Right . 1450850_1451650 *NATH: (..) &=in &=SIGH 1451650_1456980 (..) &{l=WH Go:sh &}l=WH . 1456980_1462960 *NATH: (..) Is this the c- +/. 1462960_1468810 *NATH: Is this the same class I'm taking Kathy . 1468810_1471060 *NATH: (..) Are you sure we're doing work from the same class that I'm +/. 1471060_1474010 *NATH: that I'm +/. 1474010_1474410 *NATH: that I go to every ⌈ night ⌉ . 1474410_1475610 *KATH: ⌊ I ⌋ don't know . 1475360_1476010 *KATH: &=laugh &=laugh &=laugh &=in &=laugh &=in Are we ? 1476010_1478310 *KATH: &=in (..) It's got the same name 1478310_1481800 but 1481800_1482000 (..) that's about it . 1482000_1483300 *KATH: (..) Okay . 1483300_1484510 *NATH: (..) I don't even know how you start this one 1484510_1486710 do you ? 1486710_1487110 *KATH: (..) Yeah I think so 1487110_1488690 but I'm not sure . 1488690_1489510 *KATH: (.) Cause 1489510_1490060 (.) the way I start it . 1490060_1490910 *NATH: (..) Do I +/. 1490910_1491480 *NATH: Did I have anything written on the test ? 1491480_1493040 *KATH: M-m . 1493040_1493460 *NATH: (..) I left it blank ? 1493460_1495050 @End