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the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | a very specific state between two states or any state between them ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | let 's do these integrals . this tends to show up a lot in thermodynamics , these antiderivatives . the antiderivative of 1 over t is natural log of t. so this is equal to 3/2 times the natural log of t. we 're going to evaluate it at the final temperature and then the starting temperature , plus the natural log -- the... | is there a reason behind the laws of thermodynamics being named as zeroth , first and second rather than conventional 1st 2nd and 3rd laws ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | when we go from d to a . so by definition , an adiabatic process is one where there 's no transfer of heat . so our heat transfer in an adiabatic process is 0 . so if we go back to our original definitions -- let me show you that here . | what is the difference between isothermal and adiabatic process ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | now let 's do these for both of these adiabatic processes over here . so the first one we could do is this one where we go from volume b at t1 to volume c at t2 . watch the carnot cycle video , if you forgot that . | same goes for 1/v * deltav because sal claims that the sum of those to zero but if they do have a unit one would be a unit of volume and one would be a temperature , adding those to up and expecting them to be 0 would be weird right ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | well , 3/2 ca n't change . n ca n't change . we 're not going to change the number of molecules we have . | why ca n't the work done to/by a system change the internal energy of a system if there is no change in temperature ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | vb over vc . and when you take the reciprocal of 1 , that just equals 1 , that still equals 1 . which this also equals , so we could say , that equals this thing over here . | 1 why did we integrate the equation ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | so let me write it down . temperature 2 . our initial temperature was temperature 1 , where we started off at point b to the 3/2 . | 2 what do we get when we integrate the equation ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | so let me just go back to the original graph . so this is over a very small delta v right there . let me do it in a more vibrant color . | why did sal derive that the delta t and the delta v of the reaction were infinitesimally small so he wrote them in small letters ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | and we have to do it to both sides of the equation . nrt . well , on this term , the n 's cancel out , the r cancels out . | why does internal energy u=nrt ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | the universal gas constant ca n't change . so the temperature must change . so there you have it . | can an adiabatic process change temperature of our system ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | well your final temperature , we 're going from d to a . so our final temperature is t1 . and our final volume is the volume at a . | then how could it be applied for process d to a which is adiabatic compression ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | we 're not going to change the number of molecules we have . the universal gas constant ca n't change . so the temperature must change . | so is the r in the video is reffering to the universal gas constant ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | so the first one we could do is this one where we go from volume b at t1 to volume c at t2 . watch the carnot cycle video , if you forgot that . this was the vb all of these things up here were at temperature 1 . | can you please explain the basic difference between a normal heat engine and carnot engine ? |
the goal in this video is to essentially prove a pretty simple result . and that 's that the ratio between the volumes -- let me write this down -- that the ratio between the volume at state b and the volume at state a -- so the ratio of that volume to that volume -- is equal to , in our carnot cycle , is equal to the ... | now , if i have a change in internal energy , what can change on this side ? something must have changed . well , 3/2 ca n't change . | there was a `` carnot efficiency '' in my physics textbook is there something to do with this proof ? |
consider the density curve below and so we have a density curve that describes the probability distribution for a continuous random variable . this random variable can take on values from one to five and has an equal probability of taking on any of these values from one to five . find the probability that x is less th... | you could use a z-table or you could use some generally useful knowledge about normal distributions and that 's that the area between one standard deviation below the mean and one standard deviation above the mean . this area right over here is roughly 68 % . it 's closer to 68.2 % . | how did you get the area as 68 % ? |
consider the density curve below and so we have a density curve that describes the probability distribution for a continuous random variable . this random variable can take on values from one to five and has an equal probability of taking on any of these values from one to five . find the probability that x is less th... | so let 's first visualize the density curve . it is a normal distribution . they tell us that the mean is 150 centimeters . | how did sal know this will be a normal distribution ? |
consider the density curve below and so we have a density curve that describes the probability distribution for a continuous random variable . this random variable can take on values from one to five and has an equal probability of taking on any of these values from one to five . find the probability that x is less th... | so our area 's going to be 0.25 times three which is equal to 0.75 . so the probability that x is less than four is 0.75 or you could say it 's a 75 % probability . let 's do another one of these with a slightly more involved density curve . | there is a possibility x could be 5 , right ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | an example of a hinge joint would be , say , your elbow or your knee where that joint pretty much moves in just one plane , like the hinge of a door . now , synovial joints are named so because they are lubricated by a fluid called synovial fluid , which is contained within the synovial capsule that surrounds the whole... | does it mean that the `` capsule '' have to be hermetic ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . | if yes , what is happening when there is a leak ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . | how is oshgood slaughters formed ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | now , the surfaces of bones that meet up in a joint are lined by a special kind of smooth cartilage called articular cartilage , which is composed of specifically hyaline cartilage . and articular cartilage , like all cartilage , is avascular , meaning it lacks any sort of vasculature or blood vessels . and so , it has... | if arthritis is an autoimmune disease , how do the immune cells attack the cartilage if no blood goes to it ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . | what is the difference between ligaments and tendons ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | one type , for example , is the ball and socket synovial joint , and you 'll find examples of ball and socket joints in your shoulders or in your hips . these are joints that have many degrees of motion . and then , another type of synovial joint is the hinge joint . | tracy mentioned that sinovial joints are named so because these have sinovial fliud ( which provides lubrication ) what about the other joints how is lubrication provided to them ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . | how can i learn the anatomy of the human skeleton ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | now , synovial joints are named so because they are lubricated by a fluid called synovial fluid , which is contained within the synovial capsule that surrounds the whole joint . now , the surfaces of bones that meet up in a joint are lined by a special kind of smooth cartilage called articular cartilage , which is comp... | does this mean all joints ( synarthroses , amphiarthroses , and diarthroses ) contain articular cartilage , or do only those with movement contain articular cartilage ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . | are tendons elastic or inelastic and why ? |
so , ligaments and tendons are types of extra strong and dense connective tissues . ligaments connect bones to other bones , and tendons connect muscle to bone . and the point where one bone articulates or meets up with another is called a joint . now , there are different types of joints found throughout the body , a... | one type , for example , is the ball and socket synovial joint , and you 'll find examples of ball and socket joints in your shoulders or in your hips . these are joints that have many degrees of motion . and then , another type of synovial joint is the hinge joint . | what kind of joints are the wrist and ankle ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | this is definitely true . but what about negative b ? is negative b less than negative c ? so , let 's think about where negative b is on this number line . | wait so a negative is bigger than a positive ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | in math , why do we still use roman numerals ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | so , negative b i will do in yellow . so , negative , negative b means the opposite of b . so if b is one hash mark to the left of zero , negative b is going to be one hash mark to the right of zero . | why does n't 0 have an opposite ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | a is more negative than b . so , a is less than b , not greater than b . so , this is not going to be the case . | why is a greater than b based on what he said ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | negative b is to the right of negative c. negative b is greater than negative c. and if this is a little confusing , just think about it . since b is a negative number , negative b is going to be a positive number . and since c is a positive number , negative c is going to be a negative number . | what does sal mean number a , number b , and number c ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | negative b is to the right of negative c. negative b is greater than negative c. and if this is a little confusing , just think about it . since b is a negative number , negative b is going to be a positive number . and since c is a positive number , negative c is going to be a negative number . | how does a negative number equal a positive number ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | and notice , negative a is to the right of c , so negative a is greater than c. this is true . and if you get confused , if you say , wait , this looks like a negative , how can it be larger than a positive ? remember , negative a itself is a negative number . | why did sal say that the letters were numbers ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | that is true . all right , now is a greater than b ? well , let 's look at it . | why is -b on the right side of 0 and greater than c ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | so , negative c i will do in purple . this right over here is negative c. so , let 's compare , is negative b less than negative c ? no , negative b is to the right of negative c on the number line . negative b is greater than negative c. so , this is not true . | like how can a negative number be in a right side ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | a is less than b . all right , one more to think about . negative a is greater than c. so , we know that a is n't greater than c , a is to the left of c. a is a negative number , it 's to the left of zero , c is a positive number , it 's to the right of zero . | how can positives be on the left side and negatives be on the right side ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | so , negative c i will do in purple . this right over here is negative c. so , let 's compare , is negative b less than negative c ? no , negative b is to the right of negative c on the number line . negative b is greater than negative c. so , this is not true . | why in negative a is to the right ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | this is definitely true . but what about negative b ? is negative b less than negative c ? so , let 's think about where negative b is on this number line . | what does a , b , & c equal/mean ? |
so we have a number line here with zero at the center and then on that number line we 've marked off some numbers . so , to the left of the number line we have the number a , and then we have the number b here , a little bit closer to zero , and then on the right side of zero we have the number c. and then after that ... | so , negative c i will do in purple . this right over here is negative c. so , let 's compare , is negative b less than negative c ? no , negative b is to the right of negative c on the number line . negative b is greater than negative c. so , this is not true . | why did sal write negative and positive numbers on the right side of 0 and do the same with the left side ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | anybody know any helpful hints on teaching a third grade girl level 4 division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | so it did actually go into it nine times because 603 is less than 618 . 8 minus 3 is 5 . 1 minus 0 is 1 . | 7 why 5 time ... ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | what is 7085332 + 300 = ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | so the difference in level division 4 is that you have to be able to divide lager numbers right ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | 5 times 2 is 10 plus 2 , 125 . so it goes in exact . so 125 minus 125 is clearly 0 . | hi , i 'm arabic-speaker can anyone tell me what `` goes into '' means ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | sometimes you 'll put a number here . say if i did n't know , i would 've put a 3 up here and then i would 've said 3 times 25 and i would 've gotten a 75 here . and then that would have been too large of a number , so i would have gone back and changed it to a 2 . | how would we divide 452 by 3 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | and now we bring down the 5 . so the rest of the mechanics are pretty much just like a level 3 division problem . now we ask ourselves , how many times does 25 go into 125 ? | could we put a variable into a long division problem ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why is long divison long ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | 0 times 25 is 0 . remainder is 0 . so we see that 25 goes into 6,250 exactly 250 times . | learning to turn the remainder into a decimal was simple , so why does it count as sixth grade math ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why is divison so hard ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | so that 's too much . so 25 goes into 62 two times . and there 's really no mechanical way to go about figuring this out . | if you do take a guess about how many times the 25 goes into 62 , and you realize you got it wrong when you start multiplying and checking ... what can you do ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | well , let 's think about it . 25 times 1 is 25 . 25 times 2 is 50 . | what was the numbers that you put over the 25 for ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | sure . 15 goes into 22 one time . notice we wrote the 1 above the 22 . | if you have say 34515 divided by 22 22 goes into 34 once , giving 12515 left , then do i write a 0 because 22 goes into 12 0 times ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | so it did actually go into it nine times because 603 is less than 618 . 8 minus 3 is 5 . 1 minus 0 is 1 . | when i divide 635 into 21 why do i have take 30 instead of 3 , just dont understand ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | how do i divide smallest number of 9 digit by the largest number of 3 digit ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | what is level 3 division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | so i 'm not going to teach you decimals right now , so we can just leave that remainder . so what we could say is that 67 goes into 5,978 89 times . and when it goes into it 89 times , you 're left with a remainder of 15. hopefully you 're ready now to try some level 4 division problems . | can anyone explain why sal finds that 5,978/67 is 89.15 , but my calculator says its 89.22 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | and we know that 25 times 2 is 50 anyway . then we subtract . 2 minus 0 is 2 . | why do you need to subtract to divide ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | how was the earth made ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | what 's the longest age somebody has ever lived ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | and since you do n't know two-digit multiplication tables -- very few people do -- you have to do a little bit of guesswork . sometimes you can look at this first digit and look at the first digit here and make an estimate . but sometimes it 's trial and error . | who was the first person to be alive ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | then we subtract . 2 minus 0 is 2 . 6 minus 5 is 1 . | why do you put the one above the 2 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why do we have division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why do we have division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why do we have division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why do we have division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | when do you learn level four division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | and then 2 times 2 plus 1 is 5 . and we know that 25 times 2 is 50 anyway . then we subtract . | do you know what is 35 divided by 8745 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | is that you have to kind of think about , well , how many times does this two-digit number go into this larger number ? and since you do n't know two-digit multiplication tables -- very few people do -- you have to do a little bit of guesswork . sometimes you can look at this first digit and look at the first digit her... | for me division is a lil bit easier than multiplication but what did sal mean the very little people know 2 digit multiplication ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | in division 4 you have to be able to divide with larger numbers ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | then we subtract . 2 minus 0 is 2 . 6 minus 5 is 1 . | could you just divide the 2 numbers separately and add them together with a 0 like in 2-digit x 2-digit multiplication ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | after add subract multiplication division what is the order of learning ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | or if you tried 6 you would see that you would actually get 6 times 25 is a number larger than 125 . so you ca n't use 6 . so if we say 25 goes into 125 five times then we just multiply 5 times 5 is 25 . | is n't there any systematic method to do divisions by n-digit numbers ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | and now we bring down the 5 . so the rest of the mechanics are pretty much just like a level 3 division problem . now we ask ourselves , how many times does 25 go into 125 ? | does the same method apply if dividing by very large numbers like 32,149 divided by 3,221 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | so just think about what we 're doing here and why it 's a little bit harder than when you have a one-digit number here . is that you have to kind of think about , well , how many times does this two-digit number go into this larger number ? and since you do n't know two-digit multiplication tables -- very few people d... | do you still say `` how many times does 3221 go into 32149 , or is there a way of breaking the number down in some way to make it more manageable ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | so it did actually go into it nine times because 603 is less than 618 . 8 minus 3 is 5 . 1 minus 0 is 1 . | we start seeing if the first number is divisible by 15 the continue from there and keep bringing down numbers as we subtract from 8,625 right ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | let 's say i had 67 going into 5,978 . so i just picked these numbers randomly out of my head , so i 'll show you that i also sometimes have to do a little bit of guesswork to figure out how many times one of these two-digit numbers go into a larger number . so 67 goes into 5 zero times . | how do you divide negative numbers and negative numbers ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | 7 minus 6 is 1 . 9 minus 9 is 6 . 5 minus 5 is 0 . | what is 100,000,000,000,000,000 divided by 9 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | 1 minus 0 is 1 . and 6 minus 6 is 0 . we have a remainder of 15 , which is smaller than 67 . | what is 48593 divided by 6 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . | why is there more than one level to division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | then we subtract . 2 minus 0 is 2 . 6 minus 5 is 1 . | like 4 digit number divide by 2 digit ; for example : 6250 divided by 2 in .how about 4000 divided by 20 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | who was the great mathmatician who discovered all the different meathods for addition , subtraction , multiplication , and division ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | the level 4 problems you 'll see are actually a little harder than this . but let 's say i had 25 goes into 6,250 . so the best way to think about this is you say , ok , i have 25 . | what if lets say 17 goes into x , do i write 17 in top of the division line ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | you have to kind of think about , ok , how many times do i think 25 will go into 62 ? and sometimes you get it wrong . sometimes you 'll put a number here . | can you get the guy who plays the voice of sponge bob dumb website ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | what is 58 divided by 19 ? |
welcome to the presentation on level 4 division . so what makes level 4 division harder than level 3 division is instead of having a one-digit number being divided into a multi-digit number , we 're now going to have a two-addition number divided into a multi-digit number . so let 's get started with some practice prob... | or if you tried 6 you would see that you would actually get 6 times 25 is a number larger than 125 . so you ca n't use 6 . so if we say 25 goes into 125 five times then we just multiply 5 times 5 is 25 . | i am having a little confusion ... is there a trick you guys use to tell the difference between divisor and dividend ? |
( lively piano music ) : we 're in the tate modern , and we 're looking at christian schad 's `` self-portrait . '' it 's a painting from 1927 . it 's a tough painting . : it is . it shows two figures who really take up the entire space of the canvas , with the male figure in front looking very menacing , and a passi... | ( lively piano music ) : we 're in the tate modern , and we 're looking at christian schad 's `` self-portrait . '' it 's a painting from 1927 . it 's a tough painting . : it is . | is this the same woman as in the otto dix painting `` portrait of the journalist sylvia von harden '' from the year before ? |
( lively piano music ) : we 're in the tate modern , and we 're looking at christian schad 's `` self-portrait . '' it 's a painting from 1927 . it 's a tough painting . : it is . it shows two figures who really take up the entire space of the canvas , with the male figure in front looking very menacing , and a passi... | ( lively piano music ) : we 're in the tate modern , and we 're looking at christian schad 's `` self-portrait . '' it 's a painting from 1927 . | did schad leave notes or interviews that support the perception voiced by the narrators ? |
( lively piano music ) : we 're in the tate modern , and we 're looking at christian schad 's `` self-portrait . '' it 's a painting from 1927 . it 's a tough painting . : it is . it shows two figures who really take up the entire space of the canvas , with the male figure in front looking very menacing , and a passi... | ( lively piano music ) : we 're in the tate modern , and we 're looking at christian schad 's `` self-portrait . '' it 's a painting from 1927 . | why is there a flower in background standing in a unrealistic angle ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | remember , this right here is a , that right there is b . how do i know ? they 're telling me up here . | how do you know to know to do the exponents or to simplify first ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so what is this ? negative 1 squared is just 1 . that 's just 1 . | i did n't understand , 0 why did sal cross out the -1 squared and did n't include it in his final equation ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | put a 0 . 1 times 9 is 9 . 1 times 4 is 4 . | what is the algebraic expression for the quotient of 9 times a number and 6 ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so that , we could rewrite as just being equal to 1.35y . we 've condensed it by getting rid of the multiplication sign . let 's see , here we have 3 times 1/4 . | why is the multiplication sign the same as the dot ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | well , this is the same thing as 2 times -- instead of an a , we know that a is going to be equal to negative 3 . so 2 times minus 3 , plus 3 times b -- what 's b ? they 're telling us that b is equal to 2 -- so 3 times 2 . | 5.2a+3b does that mean five point two times a variable a plus three times a variable b ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so what is this ? negative 1 squared is just 1 . that 's just 1 . | for question 18 , when -1 ( -1 ) ^2 - 5 ( -1 ) -4 ; that would mean -1^2 = -1 and -1 * -1 would be positive ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so we have to do order of operations . multiplication comes first before addition and subtraction . so this is going to be equal to minus 3 minus 4 times 2 , minus 8 , all of that over -- 3 times 5 is 15 , plus 2 times negative 4 is negative 8 , or 15 plus negative 8 is 15 minus 8 . and now , the numerator becomes nega... | when you get to the point of -3 -8/15 - 8 would n't you do division first and eliminate the -8 and then devide the -3/15 getting -1/5 ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so this is going to be equal to minus 3 minus 4 times 2 , minus 8 , all of that over -- 3 times 5 is 15 , plus 2 times negative 4 is negative 8 , or 15 plus negative 8 is 15 minus 8 . and now , the numerator becomes negative 3 minus 8 , which is negative 11 . and the denominator is 15 minus 8 , which is 7 . | why is it that sometimes the negative number is put in the middle between the numerator and denominator ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so we have minus 3 -- or negative 3 -- minus 4 times b. b is 2 . so 4 times 2 . remember , this right here is a , that right there is b . | at about sal simplifies 2x^2 - 3x^2 into -1x^2 ... how come the outcome is n't -1x^4 ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so that 's equal to 2,000 plus 3 times 2,000 is 6,000 . so that 's equal to $ 8,000 . now we 're at problem 22 . | 5would questions like these come up anywhere in high school ? |
let 's do some practice problems dealing with variable expressions . so these first problems say write the following in a more condensed form by leaving out the multiplication symbol or leaving out a multiplication symbol . so here we have 2 times 11x , so if we have 11 x 's and then we 're going to have 2 times those ... | so we have 4 times 5 is 20 , plus negative 4 -- that 's the same thing as minus 4 , so that is equal to 16 . problem 6 . now , let 's do one of the harder ones down here . | i do n't understand question 5 on evaluating expressions , why is -6 + 6 = 0 ? |
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