# ab/NmkV5cbiCqUU.xml.gz
# gu/NmkV5cbiCqUU.xml.gz
(src)="1"> oeu oeu oeu nth nth nth nth nth nth nthn th nth nth nth nth nth nth nth nth
(trg)="1"> અમે યુનિવર્સલ સબટાઈટલ શરૂ અમે માને છે કારણ કે વેબ પર દરેક વિડિઓ સબટાઈટલ- રજુ કરવાનો પ્રયત્ન કરીશું . બહેરા લાખો અને હાર્ડ ઓફ સુનાવણી દર્શકો વિડિઓ ઍક્સેસ કરવા માટે સબટાઈટલ જરૂર છે વિડિઓ મેકર્સ અને વેબસાઇટ્સ જોઈએ ખરેખર ખૂબ આ સામગ્રી વિશે કાળજી . સબટાઈટલ તેમને ઍક્સેસ આપવા વિશાળ શ્રોતા સુધી અને તેઓ પણ વિચાર સારી શોધ રેન્કિંગમાં . યુનિવર્સલ સબટાઈટલ બનાવે છે તે અતિ સરળ લગભગ કોઈ પણ વિડિઓ પર સબટાઈટલ ઉમેરવા માટે . વેબ પર હાલના વિડિઓ લો , અમારી વેબસાઇટ પર URL સબમિટ અને પછી સાથે લખો આ સબટાઈટલ બનાવવા માટે સંવાદ કે પછી , તમારા કીબોર્ડ પર ટેપ કરો કલાકાર સાથે સમન્વય કરવા માટે . પછી તમે પૂર્ણ કરી લો - અમે તમને એક એમ્બેડ કોડ આપી કલાકાર તે માટે તમે કોઇ પણ વેબસાઇટ પર મૂકી શકો છો તે સમયે , દર્શકો માટે સક્ષમ છે આ સબટાઈટલ વાપરવા માટે અને એ પણ કરી શકો છો અનુવાદ ફાળો આપે છે . અમે YouTube પર વીડિયો આધાર Blip . TV , જીવંત Ustream , અને ઘણા વધુ પ્લસ આપણે સરવાળો કરીએ બધા સમય વધુ સેવાઓ . યુનિવર્સલ સબટાઈટલ કામ ઘણા લોકપ્રિય વીડિયો બંધારણો સાથે , જેમ કે એમપી 4 , Theora , WebM અને HTML5 પર . અમારો ધ્યેય દરેક વિડિઓ માટે છે વેબ પર Subtitle- સક્ષમ હોય છે કે જેથી ધ્યાન આપતા જે પણ કલાકાર વિશે તે વધુ સુલભ બનાવવા મદદ કરી શકે છે .
# ab/PI9pFp9ATLlg.xml.gz
# gu/PI9pFp9ATLlg.xml.gz
(src)="1"> Dans la ville dernière vidéo nous nous sommes entraînés à additionner ce qu 'on peut appeler des petits nombres
(src)="2"> Par exemple si nous ajoutions trois et deux on peut imaginer qu 'on aurait trois citrons 1 , 2 , 3 .
(src)="3"> Et s' il fallait ajouter à ces trois citrons encore 2 citron verts ?
(trg)="1"> છેલ્લા વિડીયોમાં નાની સંખ્યાઓના સરવાળા કરવા માટે શું કરવુ તેનો આપણે અભ્યાશ કર્યો . ઉદાહરણ તરીકે , જો આપણે ૩ માં ૨ ઉમેરીયે ( ૩+૨ ) જો આપણે ધારીયે કે આપણી પાસે ત્રણ લીંબુ છે - ૧, ૨, ૩ અને જો હું આ ત્રણ લીંબુને બીજા બે લીંબુ સાથે ઉમેરુ . - લીંબુ અથવા લીંબુઓ ? ચાલો - સારુ , બે લીલા લીંબુ છે , અથવા બે વધારે ખાટા ફળના ટુકડાઓ છે . કેટલા - કેટલા ખાટા , ખટાસવાડા ફળ અત્યારે આપણી પાસે છે ? સારુ , આપણે છેલ્લા વિડીયોમાં શીખ્યા . આપણી પાસે ૧, ૨, ૩, ૪, ૫ ફ્ળના ટુકડા છે . તેથી , ૩ વત્તા ૨ બરાબર ૫ ( ૩ + ૨ = ૫ ) અને આપણે એ પણ જોયુ કે તે તેના ચોક્ક્સ બરાબર જ છે કે જે આપણે ૨ માં ૩ ઉમેરીયે . અને મને લાગે છે કે તે યોગ્ય છે . કેમ કે આ એના બરાબર જ છે જેનાથી આપણે શરુઆત કરી . જો તમારી પાસે ૨ લીંબુઓ છે અને તમે તેમાં ૩ લીંબુ ઉમેરો . તમને અંતમાં તો ૫ ( પાંચ ) ફળનાં ટુકડાઓ જ મળશે .
# ab/n3EtyIaFgp0N.xml.gz
# gu/n3EtyIaFgp0N.xml.gz
(src)="2"> OK , now that youve mastered decimals , & lt; br / & gt ; you now get the next hurdle, which is fractions . & lt; br / & gt ; Now , when we do fractions , & lt; br / & gt ; the same principles that appliedwith decimals apply with fractions . & lt; br / & gt ; So lets review what some of those were , & lt; br / & gt ; specifically when we wereadding decimals . & lt; br / & gt ; We did stuff like & lt; br / & gt ; 238 . 51 plus 4 . 29 . & lt; br / & gt ; Now youve done enough of theseproblems , youre like, Uhh , thats not gonna work . & lt; br / & gt ; Right here the decimals arent lined up, you cant really do that problem , & lt; br / & gt ; so you move it over here and you say , & lt; br / & gt ; OK , 238 . 51 plus 4 . 29 . & lt; br / & gt ; Now as you recall , why thatwas so important . & lt; br / & gt ; Here we have the tenths column . Here we have the hundredths column . & lt; br / & gt ; And , like we learned in the beginning, you cannot& lt; br / & gt ; take something like five apples& lt; br / & gt ; plus seven penguins & lt; br / & gt ; and get anything . & lt; br / & gt ; They need to be alike in orderfor adding to occur . & lt; br / & gt ; So here we have five- tenths and two- tenths, thats where we get the seven- tenths . & lt; br / & gt ; One- hundredth plus nine- hundredths , that would be ten , & lt; br / & gt ; and thats where we carried the one , & lt; br / & gt ; and so then we would carry on like that . & lt; br / & gt ; Now Im gonna write out that problemjust a little bit differently . & lt; br / & gt ; We had 238& lt; br / & gt ; and five- tenths& lt; br / & gt ; and one- hundredth , & lt; br / & gt ; and we added it to four& lt; br / & gt ; and two- tenths& lt; br / & gt ; and nine- hundredths . & lt; br / & gt ; Now what really happened over here, we took one- hundredth& lt; br / & gt ; plus nine- hundredths was& lt; br / & gt ; ten- hundredths . & lt; br / & gt ; And that became zero- hundredthsand one- tenth . & lt; br / & gt ; So there was a carrying that happened . & lt; br / & gt ; Remember what we did here : five plus two was seven , & lt; br / & gt ; and we worried about carrying, but here notice we do& lt; br / & gt ; five- tenths plus two- tenths , thats& lt; br / & gt ; seven- tenths , and then we wouldcarry the one from over there . & lt; br / & gt ; But this actually forms a basis ofwhats going on with fractions . & lt; br / & gt ; Right here we were able to add thesebecause they were exactly alike . & lt; br / & gt ; They were both tenths . Here theyre exactly the same, being hundredths . & lt; br / & gt ; And so we are able to leave the realm oftens , hundreds , thousands , millions , & lt; br / & gt ; and we can determineany denominator we want . & lt; br / & gt ; We can determine sevenths , & lt; br / & gt ; eighths , fifths , fourths , & lt; br / & gt ; but the same principle applies . & lt; br / & gt ; So , we can do a problemvery similar to these , & lt; br / & gt ; but instead of saying tenths we can say , & lt; br / & gt ; OK , so two and three- sevenths & lt; br / & gt ; plus five and one- seventh . & lt; br / & gt ; Doing this problem , & lt; br / & gt ; we now have the ones column, just like normal , & lt; br / & gt ; tens column , hundreds column , going this way , & lt; br / & gt ; but right here, this is not the tenths column, its the sevenths column . & lt; br / & gt ; So we have three- seventhsplus one- seventh , & lt; br / & gt ; and thats where we get four- sevenths . & lt; br / & gt ; And seven . & lt; br / & gt ; So were able to do thatthe exact same way we did before . & lt; br / & gt ; Trying another one : & lt; br / & gt ; 136 and seven- elevenths & lt; br / & gt ; plus & lt; br / & gt ; 251 and & lt; br / & gt ; three- elevenths . & lt; br / & gt ; Were gonna do this exactly likewe did with decimals , & lt; br / & gt ; except now , instead of the tenths column, we now have the elevenths column . & lt; br / & gt ; So seven- elevenths plusthree- elevenths is & lt; br / & gt ; ten- elevenths . & lt; br / & gt ; Six ones and one one : seven ones . & lt; br / & gt ; Three tens and five tens : eight tens . & lt; br / & gt ; 100 and 200 :
(trg)="2"> I 'm Amber Wild , and I am a BYU- Idaho Pathway student . & lt; br / & gt ; I had known that I wanted to go back to school for& lt; br / & gt ; & lt; br / & gt; awhile , was at Rhode Island College , but then I& lt; br / & gt ; & lt; br / & gt; stopped to serve my mission .
(src)="3"> 300 . & lt; br / & gt ; Just like that . & lt; br / & gt ; Now , sometimes thisll be & lt; br / & gt ; um youll get to a point where& lt; br / & gt ; these two will add up tomore than eleven , & lt; br / & gt ; and we have this carryingthat occurred in decimals . & lt; br / & gt ; Were gonna do something just like thatand make sure youre OK with it . & lt; br / & gt ; 583 and seventeen- nineteenths& lt; br / & gt ; plus 42 and five- nineteenths . & lt; br / & gt ; Now when we add them , & lt; br / & gt ; seventeen- nineteenths plusfive- nineteenths is going to give us& lt; br / & gt ; 22- nineteenths . & lt; br / & gt ; I want you to consider thatfor just a minute : 22- nineteenths . & lt; br / & gt ; Weve got this, whatever were talking about, like a pie , & lt; br / & gt ; cut up into nineteen pieces, each one of thems a nineteenth . & lt; br / & gt ; So when we have nineteen of em , & lt; br / & gt ; we have a whole, and thats when we carry . & lt; br / & gt ; So were going to be carrying& lt; br / & gt ; not based onyou know, we dont just put a one up here and say , & lt; br / & gt ; Oh , that was and putthe other number down here . & lt; br / & gt ; Thats what we were able to do here, where we had& lt; br / & gt ; one plus nine is ten , we put one up here& lt; br / & gt ; and then zero down here, separating the ten . & lt; br / & gt ; But here , nineteen of them & lt; br / & gt ; take away a little nineteen there & lt; br / & gt ; thats what is going to beone whole one . & lt; br / & gt ; So this is going to bethree- nineteenths , & lt; br / & gt ; and then we can do this normally . & lt; br / & gt ; One plus three is four , plus two is six . & lt; br / & gt ; Eight plus four is twelve . & lt; br / & gt ; Notice here we 're carrying by tens , & lt; br / & gt ; because all these numbers representa value of ten , & lt; br / & gt ; where these representeda value of nineteenths . & lt; br / & gt ; So we get six . & lt; br / & gt ; Lets try one of those again, thats gonna take a little bit of work . & lt; br / & gt ; 42 and & lt; br / & gt ; eight- thirteenths & lt; br / & gt ; plus 29 and & lt; br / & gt ; eleven- thirteenths . & lt; br / & gt ; We have eight- thirteenthsplus eleven- thirteenths& lt; br / & gt ; is going to give us eight plus 11, thats nineteen- thirteenths . & lt; br / & gt ; How many thirteenths does it taketo make a whole one ? Thirteen of em . & lt; br / & gt ; So thirteen of these guys& lt; br / & gt ; are going to be carried overto the next thing . & lt; br / & gt ; And we get six- thirteenthsleft overthere is the part . & lt; br / & gt ; So this thirteen- thirteenths is one whole , & lt; br / & gt ; plus two is three plus nine is twelve , & lt; br / & gt ; carry the one , and seven . & lt; br / & gt ; 72 and six- thirteenths . & lt; br / & gt ; Now youll notice we have to havethe same denominator , & lt; br / & gt ; just like here we had to line upthe exact same column . & lt; br / & gt ; So you will come to a problem & lt; br / & gt ; where you dont get thelike denominators . & lt; br / & gt ; Such as , two- fifths& lt; br / & gt ; plus three- elevenths . & lt; br / & gt ; And you realize , oh ! & lt; br / & gt ; Some people start guessingas to what to do . & lt; br / & gt ; You do two plus three is five on top& lt; br / & gt ; and then five plus elevenbut thats notwhat weve been doing with addition . & lt; br / & gt ; We didnt add these guys together . & lt; br / & gt ; This is telling us what were adding, this is two- fifths and three- elevenths . & lt; br / & gt ; Thats like adding apples andpenguinsyou cant do it ! & lt; br / & gt ; Theyre not the same thing, so dont put em together ! & lt; br / & gt ; So we have to stop on this onefor a little while and say , & lt; br / & gt ; Wait a minute, somethings going on here . & lt; br / & gt ; We need to find out how tochange a fraction . & lt; br / & gt ; So , here we go . & lt; br / & gt ; This is a number five . & lt; br / & gt ; Now you notice the number five, I notice the number five . & lt; br / & gt ; When I was studying another language , & lt; br / & gt ; I learned that it had a new name . & lt; br / & gt ; Now in English we have five . & lt; br / & gt ; When I studied German , I learned fünf . & lt; br / & gt ; When I studied French cinq . & lt; br / & gt ; If you study Spanish , its cinco . & lt; br / & gt ; It was very interesting, when I started studying a language , & lt; br / & gt ; I was , I& lt; br / & gt ; for some reason , always thought thatwhen somebody had the number , & lt; br / & gt ; when they said fünf, I thought they meant this . & lt; br / & gt ; And they didnt mean that at all . They actually meant the number five& lt; br / & gt ; they didnt have to know English at allin order to say that . & lt; br / & gt ; Im like , Well yeah , theyre probablyjust translating in their head . Its not true . & lt; br / & gt ; Once I started thinkingin the new language I was like , & lt; br / & gt ; Ahh !
(src)="4"> Theres the number here that isindependent of allthe names we give it . & lt; br / & gt ; Well , it turns out in mathits the same thing . & lt; br / & gt ; You can havethis numbercan be represented like that : 20 divided by four . & lt; br / & gt ; Fifteen divided by three . & lt; br / & gt ; And these are just different namesfor the exact same number . & lt; br / & gt ; Lets do another one . & lt; br / & gt ; 25 divided by five . & lt; br / & gt ; 500 divided by 100 , five over one . & lt; br / & gt ; And you realize that this numberin particular not only has namesin different languages , & lt; br / & gt ; but has a million billion differentnames that you could put here . & lt; br / & gt ; So , lets try another one . Try the number one . & lt; br / & gt ; How many different names doesthat guy have ? & lt; br / & gt ; K , so leaving off the different languagethat we speak& lt; br / & gt ; ust the different representationsthat we can do in mathare what were interested in . & lt; br / & gt ; Lets try that .
(src)="5"> We have two divided by two , & lt; br / & gt ; three divided by three, four divided by four , & lt; br / & gt ; five divided by five, six divided by six , & lt; br / & gt ; eighteen divided by eighteen , & lt; br / & gt ; square root of three divided bythe square root of three , & lt; br / & gt ; pi divided by pi . & lt; br / & gt ; We get any number over itself is one . & lt; br / & gt ; And its not that it means one , & lt; br / & gt ; but it means that numberthat we call one , & lt; br / & gt ; we call two over two, three over three , four over four& lt; br / & gt ; theyre all exactly the same thing . & lt; br / & gt ; So were gonna do another one here . & lt; br / & gt ; Lets try to find new names forsomething like two- thirds . & lt; br / & gt ; Now as you look at thisyoure like , two- thirds , & lt; br / & gt ; same name as two- thirds , & lt; br / & gt ; and you have & lt; br / & gt ; four- sixths . & lt; br / & gt ; Youll notice what happened isI times by two hereand times by two there . & lt; br / & gt ; Well I just times by two and two, thats another name for one . & lt; br / & gt ; So I just times this guy by one . That means hes the same thing . Theyre exactly the same thing . & lt; br / & gt ; Here we have six- ninths, if you times by three and three . & lt; br / & gt ; If you times by four and four, times by five over five . & lt; br / & gt ; So were using all thesedifferent names to get all thedifferent names for this guy . & lt; br / & gt ; Five over five looks like that . & lt; br / & gt ; Six over six . & lt; br / & gt ; So lets get some new namesfor this one . & lt; br / & gt ; Two- fifths . & lt; br / & gt ; Times by eight over eight . & lt; br / & gt ; Thats a new name . & lt; br / & gt ; Times by eleven over eleven . & lt; br / & gt ; Times by three over three . & lt; br / & gt ; And you may wonder, Where are you getting those numbers ? & lt; br / & gt ; Im just pulling them out of the air . & lt; br / & gt ; You can pull out any number : seven . & lt; br / & gt ; Times on top and the bottom & lt; br / & gt ; and there we have it . & lt; br / & gt ; A new name for two- fifths . & lt; br / & gt ; You can go and makea whole bunch of these . & lt; br / & gt ; Lets do this one . & lt; br / & gt ; New name for three- elevenths, lets just make a couple of them . & lt; br / & gt ; Times by two over two, we get six over 22 . & lt; br / & gt ; Times by three over three, well get nine over 33 . & lt; br / & gt ; Times by four over four : twelve over 44 . & lt; br / & gt ; Times by five , we get fifteen over 55 . & lt; br / & gt ; Now if youre able to take theseand transform them into other& lt; br / & gt ; names and vice versa , & lt; br / & gt ; the whole world of fractions& lt; br / & gt ; isnt so tough anymore . & lt; br / & gt ; Ill show you what I mean . & lt; br / & gt ; If you look at this problem, we ran into an issue withtheyre not the same thing . & lt; br / & gt ; However , this hasa whole bunch of names . & lt; br / & gt ; It can have a bottom of ten , fifteen , & lt; br / & gt ; 20 , 25 , 30 , 35 , 40 , 45 , 50 , 55 . & lt; br / & gt ; This could have a whole bunch ofdifferent denominators as well , & lt; br / & gt ; and you see some of them listed here . & lt; br / & gt ; Notice that that guy andthat guy right there , & lt; br / & gt ; they can add togethertheyre like things . & lt; br / & gt ; Here you have 22 fifty- fifths, there you have fifteen fifty- fifths . & lt; br / & gt ; Its a different name forthe same number . & lt; br / & gt ; So this guy 22 fifty- fifthsand fifteen fifty- fifths . & lt; br / & gt ; Those two add together just fine . & lt; br / & gt ; You have 22 of them andfifteen of them would be & lt; br / & gt ; 37 fifty- fifths . & lt; br / & gt ; So lets write it downhow weve got this . & lt; br / & gt ; When youre adding fractions& lt; br / & gt ; step number one : & lt; br / & gt ; you have to get common denominators . & lt; br / & gt ; Now most of the time, like in this one , youre like , & lt; br / & gt ; Oh five and eleven , what can I turnboth five and eleven into ? & lt; br / & gt ; Five times elevenhuh, fifty- five they both go into it . & lt; br / & gt ; So you can do this based on observation . & lt; br / & gt ; You can do this based onthose two timesing together . & lt; br / & gt ; And then theres another onethat Im gonna show you , & lt; br / & gt ; and its called prime factorization . & lt; br / & gt ; This is for the big problems . & lt; br / & gt ; But lets do a couple morethat you can see what thedenominator would be . & lt; br / & gt ; Lets take one- half plus one- third . & lt; br / & gt ; OK , one- half has a whole bunchof different names . & lt; br / & gt ; It could be two- fourths , three- sixths , & lt; br / & gt ; four- eighths , five- tenths , and so on . & lt; br / & gt ; This guy could be two- sixths , & lt; br / & gt ; three- ninths , & lt; br / & gt ; four- twelfths , & lt; br / & gt ; five- fifteenths , and so on and so forth . & lt; br / & gt ; You notice that there are a coupleof themthis name and that name& lt; br / & gt ; theyll work .
(trg)="3"> And then I came back and got& lt; br / & gt ; & lt; br / & gt; married to my high school sweet heart . & lt; br / & gt ; & lt; br / & gt; Then we had our first child and it wasn 't really& lt; br / & gt ; & lt; br / & gt; working out for me getting back to school . & lt; br / & gt ; & lt; br / & gt; So I knew I always wanted to back , and I heard of the& lt; br / & gt ; & lt; br / & gt; Pathway Program through the missionary couple . & lt; br / & gt ; & lt; br / & gt; When it started I was kind of like , " Have I made the& lt; br / & gt ; & lt; br / & gt; right decision ? " ( Laughs ) .
(src)="6"> Youll be able to do it . & lt; br / & gt ; One- half is the same as three- sixths, one third is the same as two- sixthsand you can take , & lt; br / & gt ; Ah , three- sixths and- two sixths, thats five- sixths . & lt; br / & gt ; Lets do one more down here . & lt; br / & gt ; If you have & lt; br / & gt ; three- eighths plus& lt; br / & gt ; three- eighths plus one- sixth . & lt; br / & gt ; Again , think of all the numbers thateight can go into : & lt; br / & gt ; eight , sixteen , 24and youre like , & lt; br / & gt ; Oh wait !
(src)="7"> 24 .
(src)="8"> Im going to that . & lt; br / & gt ; Youll notice thats justby observation . & lt; br / & gt ; Youre like , Hey they both happento go into 24 , thats great . & lt; br / & gt ; You could also do it by multiplying . & lt; br / & gt ; Lets do it this way first . If were gonna make this a 24 , & lt; br / & gt ; its gotta times by three and by three , & lt; br / & gt ; so thats gonna be nine twenty- fourths . & lt; br / & gt ; Right here were going to timesby four and four . & lt; br / & gt ; So we get & lt; br / & gt ; thirteen twenty- fourths . & lt; br / & gt ; If we multiplied and wedget forty- eighthsforty- eight as the denominator . & lt; br / & gt ; Well thats true , lets look at that . & lt; br / & gt ; So another name for this, if we timesed by six and six , & lt; br / & gt ; would be eighteen forty- eighths . & lt; br / & gt ; And this one , & lt; br / & gt ; times by eight and eight : & lt; br / & gt ; eight forty- eighths . & lt; br / & gt ; So if we add those two together , we get & lt; br / & gt ; 26 forty- eighths . & lt; br / & gt ; That might bother some of you, that it appears that we gota different answer . & lt; br / & gt ; Well , those two are the same number . & lt; br / & gt ; And this is part of the process that youre going to do with fractions , & lt; br / & gt ; is make sure you can identifythat those two areexactly the same thing . & lt; br / & gt ; Youll notice that this guytimesed by two is 26 , & lt; br / & gt ; that guy times by two is 48 . & lt; br / & gt ; That means that this one is anew name for that one right there, theyre the exact the same thing . & lt; br / & gt ; When you take it and take outall the numbers you can& lt; br / & gt ; so you get the simplest form , & lt; br / & gt ; that is called simplifying . & lt; br / & gt ; When you take the simple oneand you make it bigger , & lt; br / & gt ; they dont have a name for that , & lt; br / & gt ; so I call it complexifying . & lt; br / & gt ; Com- plex- i- fy- ing . & lt; br / & gt ; Because youre making it lookmore complex even thoughits really all the same number . & lt; br / & gt ; So thats the thing, sometimes when you do the multiplying , & lt; br / & gt ; you might have to do some simplifyingat the very end of the problem . & lt; br / & gt ; So , Im going to show youprime factors right now . & lt; br / & gt ; This one is a little bit tougher , & lt; br / & gt ; and usually should be reservedfor the harder problems , & lt; br / & gt ; but you need to see it now so thatyoull be able to do stuff later on . & lt; br / & gt ; So were gonna get a big one here . & lt; br / & gt ; Seven over 72 plus eleven over 96 . & lt; br / & gt ; If youre anything like me , & lt; br / & gt ; I dont happen to know my72 times tables off the top of my head . & lt; br / & gt ; I dont know the 96 times tablesoff the top of my head either . & lt; br / & gt ; Being able to just say , Oh yeah look, I have a number here that both of thosego into ?
(trg)="4"> But I have found being in it& lt; br / & gt ; & lt; br / & gt; that yes , it was definitely the right decision . & lt; br / & gt ; & lt; br / & gt; I found that when I took the first course , Pathway& lt; br / & gt ; & lt; br / & gt; Life- skills , I got so many answers for just being a mom . & lt; br / & gt ; & lt; br / & gt; And I didn 't expect that at all .
(src)="9"> Not a chance ! & lt; br / & gt ; I could you know, theres a good number& lt; br / & gt ; that would work for both of them, and that is whatever 72 times 96 is , & lt; br / & gt ; I dont know, its up in the 6000´s somewhere . & lt; br / & gt ; Theres probably gonna bea lot of simplifying . & lt; br / & gt ; Kind of like on that last problem, we had to simplify once , this isprobably going to give us a lot of them . & lt; br / & gt ; So here , prime factors . & lt; br / & gt ; I have to tell you , & lt; br / & gt ; prime factorization& lt; br / & gt ; allows a mathematician to do to a number& lt; br / & gt ; what a biologist does to uh , & lt; br / & gt ; a worm , or an organism that hes cuttingup and he sees how it works inside , & lt; br / & gt ; thats the microscope . & lt; br / & gt ; What a chemist does to chemical compounds . & lt; br / & gt ; Prime factorization is where wesplit the number open and we seewhat its made of . & lt; br / & gt ; We find out its genetic code . & lt; br / & gt ; In this case , 72 , if we factor this & lt; br / & gt ; what makes 72 ? & lt; br / & gt ; Six times twelve , or eight times nine, either one of them . & lt; br / & gt ; And then what makes up the six ? Its a two and a three . & lt; br / & gt ; Twelve is a two and a six , & lt; br / & gt ; and a two and a three . & lt; br / & gt ; So here at the end , we gettwo , two , two , three , three . & lt; br / & gt ; I just kind of like to put themin order , so you know, get the smallest ones first , & lt; br / & gt ; but this right here is the code for 72 . & lt; br / & gt ; You break it down into the numbersuntil you cant break it down any moreand these are the& lt; br / & gt ; these are prime . & lt; br / & gt ; Thats what that means, it goes all the way down , & lt; br / & gt ; and you cant break a prime number downany further . & lt; br / & gt ; So , heres its genetic code : two , two , two , three , three . & lt; br / & gt ; When we do 96 & lt; br / & gt ; that is , um eight times twelve . & lt; br / & gt ; Thats four times two .
(src)="10"> Two times two . & lt; br / & gt ; Four times three .
(trg)="5"> The answers to my& lt; br / & gt ; & lt; br / & gt; prayers have been , you know , it 's been very evident& lt; br / & gt ; & lt; br / & gt; that the Lord has been answering them through& lt; br / & gt ; & lt; br / & gt; this program .
(src)="11"> Two times two . & lt; br / & gt ; So we get & lt; br / & gt ; two , two , two , twoone , two , three , four , five of themtimes a three . & lt; br / & gt ; Now , as we look at these, theyre very similar , really close . & lt; br / & gt ; So what were going to do & lt; br / & gt ; If I put any number on here , & lt; br / & gt ; like a five or something like that , & lt; br / & gt ; I could now take and, if I times 72 by five , I get this number . & lt; br / & gt ; If I put a seven on thereI get that number . & lt; br / & gt ; If I put a six on theresix is this , two times three& lt; br / & gt ; I would get that number . & lt; br / & gt ; So here were able to find out& lt; br / & gt ; and create this denominatorthat both of them can go into . & lt; br / & gt ; So Im going to write it up here, right here I have& lt; br / & gt ; a two times a two times a twotimes a three times a three . & lt; br / & gt ; And over here I have & lt; br / & gt ; Now , if I look at this , & lt; br / & gt ; this guy has plenty of twos , & lt; br / & gt ; but if I put one more three on there , & lt; br / & gt ; then I know that 72 goes intothis number right here . & lt; br / & gt ; But 96 doesnt go into this one yet . & lt; br / & gt ; I would needone , two , three , four , five twosin order for that to happen . & lt; br / & gt ; Weve just created our monster . & lt; br / & gt ; This is how you createa common denominator . & lt; br / & gt ; Weve split it open, weve looked at what its made of . & lt; br / & gt ; Now , this number , whatever it is, its the same on both of them , & lt; br / & gt ; is our common denominator . & lt; br / & gt ; And I know I have to times 72 by four& lt; br / & gt ; to get this common denominator, so I do it on the top& lt; br / & gt ; and this guy had to be timesed by three . & lt; br / & gt ; So this is 28 over & lt; br / & gt ; four times 72 is going to be 288 & lt; br / & gt ; plus & lt; br / & gt ; 33 & lt; br / & gt ; three times 96 & lt; br / & gt ; is a 288 . & lt; br / & gt ; So that saved me from simplifying a lot . & lt; br / & gt ; So when I add these two together, I get & lt; br / & gt ; 61 over 288 . & lt; br / & gt ; Now while on the subject ofprime factorization , & lt; br / & gt ; this will also help you& lt; br / & gt ; in simplifying very , verylarge fractions . & lt; br / & gt ; At the end , you noticed, we simplified just a little bit . & lt; br / & gt ; I want to talk to you just a little bitabout simplifying right now . & lt; br / & gt ; If you have a very largefraction , such as & lt; br / & gt ; 144 & lt; br / & gt ; over 196 , & lt; br / & gt ; something like that, and youre not able to tell exactlywhats going on with it , & lt; br / & gt ; this prime factorization willallow you to& lt; br / & gt ; get rid of some of those& lt; br / & gt ; common terms that people have takena small number and complexified up . & lt; br / & gt ; You may wonder, Why in the world do we simplify things ? & lt; br / & gt ; Well have you ever thoughtthat if you got a recipe& lt; br / & gt ; and the recipe actually said& lt; br / & gt ; you need to add & lt; br / & gt ; 72 ninety- sixths cup of sugar , & lt; br / & gt ; youd probably think , & lt; br / & gt ; Thats dumb . Why would anybody say that ? & lt; br / & gt ; Its just another name for three- fourths . & lt; br / & gt ; Well , then why not just saythree- fourths ?
(src)="12"> And thats the idea . & lt; br / & gt ; The simplified version of a numberis the one everybody uses . & lt; br / & gt ; Youre attending college right now , & lt; br / & gt ; people probably ask you your agequite often . & lt; br / & gt ; Can you imaginewalking around and saying , & lt; br / & gt ; Oh yes , Im the square root of 361 . & lt; br / & gt ; And they would justlook at you very odd . & lt; br / & gt ; Its the same as nineteen , & lt; br / & gt ; but nobody ever says that . & lt; br / & gt ; I mean , they really think yourekind of a geek . & lt; br / & gt ; So , simplifying a number& lt; br / & gt ; is just a way to be able to communicate and say , & lt; br / & gt ; Ah , we really do have the same number, when everybody& lt; br / & gt ; on what the simplified version is . & lt; br / & gt ; So you take this thing right here , & lt; br / & gt ; now normally we could seeOh !
(trg)="6"> The reason why I 'm in Pathways , and& lt; br / & gt ; & lt; br / & gt; eventually going into Business Management , is my& lt; br / & gt ; & lt; br / & gt; parents have a business .
(src)="13"> Hey , look . & lt; br / & gt ; I think a two willgo into top and bottom , & lt; br / & gt ; thatll be kind of a nice onebecause theyre both even . & lt; br / & gt ; But this prime factorization, if you can pull out & lt; br / & gt ; everything that its made of, youll be able to tell exactly& lt; br / & gt ; how well it canit can be simplified . & lt; br / & gt ; So , on this one , & lt; br / & gt ; So , on this one, we would break it down like this& lt; br / & gt ; Ill let you do that144 is , like , twelve , twelve . & lt; br / & gt ; And so , this would be the same as & lt; br / & gt ; twelve & lt; br / & gt ; times twelve . & lt; br / & gt ; So I did twelve and twelve . & lt; br / & gt ; And then on the bottom, this is fourteen times fourteen , so & lt; br / & gt ; Now what this is , we broke it downas far as we couldwith the prime factorization& lt; br / & gt ; and now its very easy to see :
(src)="14"> Oh ! & lt; br / & gt ; Heres a two over twothat somebody put on theretake it off . & lt; br / & gt ; Heres another two over two . & lt; br / & gt ; Take that one off . & lt; br / & gt ; And so were left with& lt; br / & gt ; four times nine is 36 & lt; br / & gt ; seven times seven is 49 . & lt; br / & gt ; And what this does is tell you for sure& lt; br / & gt ; there is nothing elsethat will ever come out of those numbers& lt; br / & gt ; because we broke it downto its very basic form . & lt; br / & gt ; OK , so minor digression on simplifying, lets come back here, this is how were adding fractions . & lt; br / & gt ; Common denominators . Observations gonna be the easiest one, by all means . & lt; br / & gt ; Youre going to be able to say , & lt; br / & gt ; Oh yeah , common denominatorlooks like twelve, or looks like fifteen , or 24 . & lt; br / & gt ; If youre not able to tell exactly , & lt; br / & gt ; you can always multiply the two numbers, and that will get you& lt; br / & gt ; a number that they both go into . & lt; br / & gt ; You may have to do some simplifyingwith this one , and on the big ones& lt; br / & gt ; I think theres only a couple ofproblems on your assignments , & lt; br / & gt ; but thisll be one to work together on . & lt; br / & gt ; OK , so get common denominators . & lt; br / & gt ; Two now , the denominators , & lt; br / & gt ; theyre the ones on the bottom . & lt; br / & gt ; If nobodys ever told you yet& lt; br / & gt ; why theyre called denominators, you need to know . & lt; br / & gt ; When you have a fraction , like & lt; br / & gt ; three- fifths , & lt; br / & gt ; Im gonna write it out like this, three- fifths . & lt; br / & gt ; When you cut up something intofive parts , each one of them is a fifth . & lt; br / & gt ; And this is telling you what you have . & lt; br / & gt ; Like in currency , & lt; br / & gt ; you can have a twenty- markdenomination bill , & lt; br / & gt ; a twenty- dollar denomination , & lt; br / & gt ; ten- dollar denomination , & lt; br / & gt ; two hundred- peso denomination . & lt; br / & gt ; Denomination is how you are telling& lt; br / & gt ; what youre dealing with , & lt; br / & gt ; and this is telling how many you have , & lt; br / & gt ; so you are enumerating these things . & lt; br / & gt ; So that denotes & lt; br / & gt ; thats why its a denominator, its saying , & lt; br / & gt ; Aha , this is a denomination, were talking about fifths . & lt; br / & gt ; And this is how many there are , & lt; br / & gt ; and so that is why thisis called a numerator . & lt; br / & gt ; Thats why this one is called a numerator & lt; br / & gt ; and this is a denominator . & lt; br / & gt ; So , once you have the same denominator , & lt; br / & gt ; that means youre now adding like things . & lt; br / & gt ; So when we do it, when we have like things , & lt; br / & gt ; we count up the total ofhow much we have . & lt; br / & gt ; So in this case , you add the numerators & lt; br / & gt ; also known as adding the tops . & lt; br / & gt ; And then & lt; br / & gt ; like we did before , & lt; br / & gt ; if youre gonna carry , you have to carryby what youre talking about . & lt; br / & gt ; If its fifths, once you get five of them, you have a whole thing and you carry . & lt; br / & gt ; If you have twelfths, you carry with that . & lt; br / & gt ; An easy way to remember this& lt; br / & gt ; is if youre dealing withdays of the week , & lt; br / & gt ; each day of the week is a seventh . & lt; br / & gt ; And so if you talk about& lt; br / & gt ; how many days make a week, once you get seven- sevenths of a week , & lt; br / & gt ; it carries over and its a whole week . & lt; br / & gt ; So youre gonna carry& lt; br / & gt ; by the denominator . & lt; br / & gt ; And then finally & lt; br / & gt ; you have to simplify& lt; br / & gt ; at the end so everybodyson the same page as to what numberyoure really talking about . & lt; br / & gt ; This is very similar to whatyoure gonna do with subtraction , & lt; br / & gt ; so we better do a coupleof subtraction problems to make sureyoure OK with that . & lt; br / & gt ; You know in subtraction , we have & lt; br / & gt ; two- thirds minus one- fourth . & lt; br / & gt ; You can do the same thing, weve got to get common denominators& lt; br / & gt ; addition and subtraction we alwayshave to do like things . & lt; br / & gt ; So , two- thirds minus one- fourth, can you think about what thecommon denominator might be ? & lt; br / & gt ; Two- thirds minus a fourth . & lt; br / & gt ; If you cant , go aheadand write out a few of these : & lt; br / & gt ; two- thirds , four- sixths , & lt; br / & gt ; you keep going but youre like, Wait ! Three , six , nine , twelve , & lt; br / & gt ; Ah , twelve is what its gonna be . & lt; br / & gt ; So , on this guy Id have totimes by a four , & lt; br / & gt ; times by a four, so you get eight- twelfths minus & lt; br / & gt ; minus , in this case, Id have to times by three , & lt; br / & gt ; times by three : three- twelfths . & lt; br / & gt ; So , eight- twelfths minus three- twelfthsbetter be five- twelfths . & lt; br / & gt ; Good deal . & lt; br / & gt ; Lets see if you remembernegative numbers really well . & lt; br / & gt ; If you had & lt; br / & gt ; two- fifths minus seven- eighths . & lt; br / & gt ; Here weve got to get acommon denominator , very first thing . & lt; br / & gt ; You can do it by observation . If you cant think about it, go ahead and multiply the two . & lt; br / & gt ; Five times eight :
(trg)="7"> They own a gymnastics school , & lt; br / & gt ; & lt; br / & gt; and so I feel like it 's a really good course of study& lt; br / & gt ; & lt; br / & gt; for me to take to help us help it grow . & lt; br / & gt ; & lt; br / & gt; I would say changes that I' ve noticed in myself , & lt; br / & gt ; & lt; br / & gt; is being able to manage my time better because I& lt; br / & gt ; & lt; br / & gt; have to .
(src)="15"> 40 . & lt; br / & gt ; That is whatll be a nicecommon denominator , & lt; br / & gt ; you gettimes by eight , times by eight& lt; br / & gt ; sixteen over 40 minustimes by five times by five& lt; br / & gt ; 35 over 40 . & lt; br / & gt ; Ooh !
(src)="16"> Sixteen minus 35, how well do you remember your negatives ? & lt; br / & gt ; Youre starting at sixteen andyoure subtracting 35 , & lt; br / & gt ; which means youre gonna go past zero, youre gonna end up down in the negatives , & lt; br / & gt ; and thats what happensthis numbers really bigger , & lt; br / & gt ; so its strongertheyre tug of warringagainst each other , & lt; br / & gt ; you have sixteen fortiethspulling positive , & lt; br / & gt ; 35 fortieths pulling negative& lt; br / & gt ; this guy wins . And so you subtract these two& lt; br / & gt ; 35 minus sixteen& lt; br / & gt ; and the negative guy wins . & lt; br / & gt ; So negative nineteen fortieths . & lt; br / & gt ; So if we do this with subtraction , & lt; br / & gt ; there are a couple thingswe have to add here . & lt; br / & gt ; So , youre going to add orsubtract numerators . & lt; br / & gt ; Were gonna do a problemwhere were gonna borrow now . & lt; br / & gt ; 428 and & lt; br / & gt ; two- sevenths minus& lt; br / & gt ; fifteen and & lt; br / & gt ; four- sevenths . & lt; br / & gt ; So we have this age- old debate now . & lt; br / & gt ; Were doing the same thingbut just decimals , & lt; br / & gt ; we cantwe dont have a decimal point , & lt; br / & gt ; were now dealing witha sevenths column . & lt; br / & gt ; So this could be considereddays of the week . & lt; br / & gt ; If this is 428 weeks and two days , & lt; br / & gt ; thats 428 and two- sevenths weeks , & lt; br / & gt ; minus fifteen weeks and four days, thats fifteen and four- sevenths weeks . & lt; br / & gt ; This is the age- old debate : & lt; br / & gt ; two minus four , can you really geta number from two minus four ? & lt; br / & gt ; I mean , you take & lt; br / & gt ; If I have two carrots on the tableand I go and steal four of them , & lt; br / & gt ; you think, It doesnt quite make sense . & lt; br / & gt ; Thats exactly whats going on , is& lt; br / & gt ; that we have to takea whole thing right here , & lt; br / & gt ; so were down to seven whole weeks . & lt; br / & gt ; How many days does it make ? It makes seven of them .
(src)="17"> Notice & lt; br / & gt ; it turns this into nine- sevenths . & lt; br / & gt ; Youre not going to cancel thisand put a one out here , & lt; br / & gt ; youre not borrowing tenof them at a time , & lt; br / & gt ; youre cashing in a whole thing hereand youre getting out so many sevenths , & lt; br / & gt ; you 're getting out seven sevenths . & lt; br / & gt ; Now youre able to go : nine minus four , thats five- sevenths , & lt; br / & gt ; seven minus five is two, two minus one is one , & lt; br / & gt ; four minus zero is four . & lt; br / & gt ; 412 and five- sevenths . & lt; br / & gt ; So & lt; br / & gt ; see if we can do one more of those . & lt; br / & gt ; 300 uh , yeah 35& lt; br / & gt ; and & lt; br / & gt ; eight- elevenths minus & lt; br / & gt ; 149& lt; br / & gt ; and three- elevenths . & lt; br / & gt ; Now , at first glance, this doesnt look so bad . & lt; br / & gt ; Youre like , Oh , thats not so bad . Look , eight minus three, thats five- elevenths , good deal . & lt; br / & gt ; Five minus nineOK, wed have to borrow from the three & lt; br / & gt ; But then you start walking out hereand youre like , & lt; br / & gt ; What dotheres nothingto borrow from out here . & lt; br / & gt ; When were doing subtraction , & lt; br / & gt ; theres kind of a first step, step zero , up here , & lt; br / & gt ; Youve got to set it up . & lt; br / & gt ; Youve got to get& lt; br / & gt ; subtract with the big guy on top . & lt; br / & gt ; So step zero , youve got to subtract & lt; br / & gt ; with the biggest on top , & lt; br / & gt ; Or the strongest, if you want to [ call it ] . & lt; br / & gt ; Were gonna rewrite this . & lt; br / & gt ; You have a negative 149and three- elevenths& lt; br / & gt ; and 35 and eight- elevenths . & lt; br / & gt ; Now I put the minus sign here, were still going to be subtracting , & lt; br / & gt ; theres still a minus sign here, but just put the biggest one up on top . & lt; br / & gt ; Its gonna make life a lot easier for us . & lt; br / & gt ; Now we can borrow, there 's eight of those and it gives us& lt; br / & gt ; were talking about elevenths now, not tenths& lt; br / & gt ; so it gives us eleven of them, so we really have fourteen- eleventhsout here now . & lt; br / & gt ; Fourteen minus eight : six- elevenths . & lt; br / & gt ; Eight minus five is three, four minus three is one, and then you have a one . & lt; br / & gt ; Now the ideawe just subtracted , & lt; br / & gt ; but this guyin the tug of war between thesetwo numbers , this guy wins & lt; br / & gt ; so the overall answer will be negative . & lt; br / & gt ; And that should take care of addition, subtraction of fractions , & lt; br / & gt ; so remember were carrying& lt; br / & gt ; or in this case borrowing& lt; br / & gt ; by the denominator , & lt; br / & gt ; and then well simplify . Now weve always got to remember& lt; br / & gt ; that when youre subtracting, the biggest guy will win . & lt; br / & gt ; So that takes care ofaddition , subtraction of fractions, now we get the easy part . & lt; br / & gt ; We get & lt; br / & gt ; multiplication and divisionof fractions . & lt; br / & gt ; Now , were also gonna go back to decimals& lt; br / & gt ; for how we learn this one . & lt; br / & gt ; When we have something like& lt; br / & gt ; 2, 000& lt; br / & gt ; times 40 , & lt; br / & gt ; and you could actually do this out2, 000 plus 2, 000 plus 2, 000 plus 2, 000and see what you get . & lt; br / & gt ; We ended up with eight and four zeros : & lt; br / & gt ; 80, 000 . & lt; br / & gt ; Now were going to break that upa little bit .
(trg)="8"> You know , I have to be on top of everything& lt; br / & gt ; & lt; br / & gt; or else the house is a disaster , especially this& lt; br / & gt ; & lt; br / & gt; semester there 's a ton of work , there 's no way& lt; br / & gt ; & lt; br / & gt; I should able to get it done and yet , it is done . & lt; br / & gt ; & lt; br / & gt; Besides that , there 's such an increase of the Spirit in& lt; br / & gt ; & lt; br / & gt; my life because each semester we 've had Institute , & lt; br / & gt ; & lt; br / & gt; and now it 's Teachings of the Living Prophets , & lt; br / & gt ; & lt; br / & gt; and besides that in the other courses , you know English , & lt; br / & gt ; & lt; br / & gt; Math , Life- skills , it 's not just recommended that you& lt; br / & gt ; & lt; br / & gt; learn by the Spirit , but it 's absolutely necessary . & lt; br / & gt ; & lt; br / & gt; It 's such a blessing to be able to increase my education& lt; br / & gt ; & lt; br / & gt; and get my degree at this time in my life .