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so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
why is the reciprocal needed ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
how do you know which fraction are you supposed to turn in a reciprocal ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so 2 times 3 over the product of the denominators , over 5 times 7 -- i 'm trying to keep the colors consistent -- which of course is going to be equal to 2 times 3 is equal to 6 . and 5 times 7 -- i 'll do this in a new color , let 's see , i have n't used this shade of blue yet -- 5 times 7 of course is equal to 35 ....
find the missing number 1/8 /1 =5/8 / ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
how do you know when to cross multiply and not to cross multiply ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
how to visualize the above example ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
how would you model 9/10 divided by 3/5 on a number line ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty straightforward . this is just going to be equal to the product of the numerators .
how is dividing 2 fractions the same thing as keeping the first fraction the same and multiplying the second fraction by it 's reciprocal ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
how do you divide a fraction by a fraction by a fraction ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
in other words , which pair becomes priority in the order of operation ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
why do we put the fraction upside down ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty straightforward . this is just going to be equal to the product of the numerators .
my problem when multiplying and dividing fractions is cancelling.will you assist me in learning how to cancel ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so 2 times 3 over the product of the denominators , over 5 times 7 -- i 'm trying to keep the colors consistent -- which of course is going to be equal to 2 times 3 is equal to 6 . and 5 times 7 -- i 'll do this in a new color , let 's see , i have n't used this shade of blue yet -- 5 times 7 of course is equal to 35 ....
is 8/5 divided by 5/8 the same thing ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
why do we have to inverse 7/3 ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
this is just going to be equal to the product of the numerators . so 2 times 3 over the product of the denominators , over 5 times 7 -- i 'm trying to keep the colors consistent -- which of course is going to be equal to 2 times 3 is equal to 6 . and 5 times 7 -- i 'll do this in a new color , let 's see , i have n't u...
why do you keep changing colors ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
how old is your pizza ?
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 . and then multiplying two fractions is pretty ...
so let 's calculate what 2/5 divided by 7/3 is , and i encourage you to pause this video and try to calculate this on your own . well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3 , which is 3 over 7 .
so , how do you turn a mixed number into an improper fraction ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in .
how did the industry suffer ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
and they were able to roll through in 1915 . and then we wait until 1918 for the allies to essentially recapture serbia . now what is noteworthy -- there 's many noteworthy things in world war i and obviously we ca n't cover all of them -- is just what a huge loss world war i was to the serbian people .
why did the serbia commanders allow the losses to get to the point they did ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
and even from a population point of view , the serbian population is reduced by 16 % . 16 % of the serbian population , civilian and military , is dead by the end of world war i . so a lot of countries suffered horribly during world war i . there 's many notable ones , france , the russian empire .
were the deaths in serbia mainly due to the war ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
roughly 60 % of the serbian army is killed . and even from a population point of view , the serbian population is reduced by 16 % . 16 % of the serbian population , civilian and military , is dead by the end of world war i .
the 16 % from the populations point of view , is that percentage the 60 % of the military just translated into the population perspective , or is it that the percentage of all the casualties in serbia during wwi ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
and then we wait until 1918 for the allies to essentially recapture serbia . now what is noteworthy -- there 's many noteworthy things in world war i and obviously we ca n't cover all of them -- is just what a huge loss world war i was to the serbian people . just as a little bit of context , very small country -- we '...
is people who was fighting in the war is still alive ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in .
what was spain and portugal doing in wwi ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
roughly 60 % of the serbian army is killed . and even from a population point of view , the serbian population is reduced by 16 % . 16 % of the serbian population , civilian and military , is dead by the end of world war i .
how was the serbian culture effected by the extreme loss of 16 % of their population ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
you have 60 % of the serbian army dies . roughly 60 % of the serbian army is killed . and even from a population point of view , the serbian population is reduced by 16 % .
when sal said 60 % of the serbian army was killed , exactly how many soldiers were killed ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
and then we wait until 1918 for the allies to essentially recapture serbia . now what is noteworthy -- there 's many noteworthy things in world war i and obviously we ca n't cover all of them -- is just what a huge loss world war i was to the serbian people . just as a little bit of context , very small country -- we '...
was n't world war one a trench warfare sort of thing or is that something different ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
and this was pretty much everyone in the country who could be in the army was essentially in the army . over the course of the serbian campaign and the macedonian front , you essentially have the serbian army getting decimated . you have 60 % of the serbian army dies . roughly 60 % of the serbian army is killed .
what is the proper name for a citizen of serbia : serbian or serb ?
in the last video , we talked about how the serbians were able to hold back the austro-hungarians at the beginning of world war i . but eventually they had to give in . they could n't hold up against the combined forces of the bulgarians , the austro-hungarians , and the germans . and they were able to roll through in ...
and even from a population point of view , the serbian population is reduced by 16 % . 16 % of the serbian population , civilian and military , is dead by the end of world war i . so a lot of countries suffered horribly during world war i .
at the end of the war , germany was punished severely , but what happened to austria ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
well , that 's going to be equal to the square root of our change in x squared . so our change in x is 3 . that squared is 9 , plus our change in y squared .
what is the scale of each x , y coordinate block ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
that squared is 9 . so this is going to be square root of 18 , which is the same thing as 3 square roots of 2 . now is this more or less than 6 ?
why is it 3 square roots of 2 instead of the square root for 18 ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
well , that 's going to be equal to the square root of our change in x squared . so our change in x is 3 . that squared is 9 , plus our change in y squared .
why does sal put absolute value signs around the change in x and y ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
our change in y is also 3 . that squared is 9 . so this is going to be square root of 18 , which is the same thing as 3 square roots of 2 .
how is sqrt ( 9 +9 ) = 3sqrt ( 2 ) ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
8 comma 7 is the location of minion a . 2 comma negative 1 is the location of minion b . 9 comma 0 is the location of minion c. so what i want to do -- and i want you to pause this video .
if ( b , b-1 ) , ( b+2 , b+1 ) and ( b , b+3 ) are three consecutive points of a square what 's its area ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
square root of 2 is less than 2 . it 's 1 point something . so this right over here is going to be less than 6 .
what does the triangle thing represent ?
alyssa is playing a video game . her character is on a quest to vanquish an evil sorcerer and his minions from the land . her character is a wizard whose spells have a range of 6 meters . the locations of objects in the game are stored by the computer in terms of x and y-coordinates . so 5 comma 4 is the location of al...
and to think about that , we just have to calculate the distance between this point and this point , that point and that point , that point and that point , and see if they are greater than or less than 6 meters . and how do we calculate a distance between two points ? well if this is some point right over here -- that...
what is the distance unit value ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you make your number line from left to right ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is n't it more intuitive to make a number line vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
can you use the number line for division ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
it 's actually the fattiest of all the fruits . you probably did n't even think it was a fruit , even if you ate one . let 's say i have 3 avocados -- 1 , 2 , 3 .
but really , if you think about it , we all were born knowing how to take things away ... '' two apples ... one apple eat ... .mmm ... one left : ( `` see ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
what is the largest number known to man ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let me put this 4 in yellow so you know that these are the ones you 're giving me . 1 , 2 , 3 , 4 . so how many total avocados do i have now ?
what does the line graph have to do with addition ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
maybe you do n't know , but now you know . and then you go to 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 . keeps going -- 11 .
what is 600 times 10 ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so number line , i just write all the numbers in order . and i go high enough just so all the numbers i 'm using are kind of in it . so you know the first number is 0 , which is nothing .
when did people start using numbers ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you make your number line from left to right ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is n't it more intuitive to make a number line vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i want to draw the number line again , actually , i have a line tool , so i should give you all those ugly looking lines that i 've been giving you . look at that . that 's amazing .
why do the numbers look different ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
how is arithmetic used in the real world ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
where did the `` + '' sign come from ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
we 're going to add 7 to it . 1 , 2 , 3 , 4 , 5 , 6 , 7 . we go to 15 .
is 6 afraid of 7 ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i 'm going to feel bad to erase it later on . so let me draw a number line . 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 .
why did you draw the # line horizontally instead of vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i 'm going to feel bad to erase it later on . so let me draw a number line . 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 .
would n't it be more logical to draw the # line diagonally ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
well let 's say i start with an old classic . 1 plus 1 . and i think you already know how to do this , but i 'll kind of show you a way of doing this in case you do n't have this memorized or you have n't already mastered this .
if you add negative 1 + negative 1 , will that equal one whole number ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i 'll use white now . what is 8 plus 7 ? well , if you can still read this , 8 is right here .
in the number sentence 8 oranges plus 8 apples , what do i have to do ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and then you go to 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 . keeps going -- 11 . so we 're saying 3 plus 4 .
in the number sentence 11 apples plus 11 oranges , what do i have to do ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
does the orange dot move ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
well , let 's see . i have 1 , 2 avocados . so 1 plus 1 is equal to 2 . now , i know what you 're thinking .
why 1+1 is equal to 2 , who can prove it ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
who invented the ways of math ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and that was our answer . we can do a couple of different ones . what if i asked you what 8 plus 1 is ?
was it one person , or multiple people for different units ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
1 , 2 , 3 , 4 , 5 . we get to the same place . and i think you might want to try this on a bunch of problems and you 'll see it always works out .
i need 5th grade math , am i at the right place ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you make your number line from left to right ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is n't it more intuitive to make a number line vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so you know the first number is 0 , which is nothing . maybe you do n't know , but now you know . and then you go to 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 .
did you know that a tomato is a fruit ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let me put this 4 in yellow so you know that these are the ones you 're giving me . 1 , 2 , 3 , 4 . so how many total avocados do i have now ?
what does the line graph have to do with addition ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let 's start at 6 . ignore the yellow for now and add 5 to it . 1 , 2 , 3 , 4 , 5 .
is it possible to add negative numbers ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you make your number line from left to right ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is n't it more intuitive to make a number line vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
1 , 2 , 3 , 4 , 5 . we get to the same place . and i think you might want to try this on a bunch of problems and you 'll see it always works out .
how do you get mastery challenges ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i 'm going to do it in different colors now . 5 plus 6 . so if you want , you could pause the video and try this .
sal shows 5+6=11 , how about 6+5=11.how come they have the same answer although they start with different numbers ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
how can i find what my skill level is ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let me put this 4 in yellow so you know that these are the ones you 're giving me . 1 , 2 , 3 , 4 . so how many total avocados do i have now ?
why is 2+2 , 2*2 , and 2^2 all equal to 4 ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
what can the product turn out to be ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so i have 3 here and we 're going to add 4 to that 3 . so all we do is we go up the number line , or we go to the right on the number line , 4 more . so we go 1 , 2 , 3 , 4 .
why does the number line go horizontally if we are counting with it ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
how are addition and subtraction similar and different ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
so does addition primarily deal with fruit ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
how early and what are the first steps to teaching a child addition ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i 'm going to do it in different colors now . 5 plus 6 . so if you want , you could pause the video and try this .
what is 45 plus 45 ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you make your number line from left to right ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is n't it more intuitive to make a number line vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
is the moon bigger than the sun ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
but let 's see . i 'll use white now . what is 8 plus 7 ?
do u have to use avocado 's to represent the numbers , or is any thing fine to use when representing a number ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let me put this 4 in yellow so you know that these are the ones you 're giving me . 1 , 2 , 3 , 4 . so how many total avocados do i have now ?
does the line graph on have anything to do with ways to add ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
can people of all ages come on khan acadomy ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you put arrow on both ends of the number line ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
why did you make your number line from left to right ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is n't it more intuitive to make a number line vertically ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and just so you know , if you 're a little daunted by this initially , you can always draw the circles . you can always do the number line . and eventually , over time , the more practice you do -- you 'll hopefully memorize these and you 'll do these problems in like half a second .
why is always the same person ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
what are their respective ranks from the bottom ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
what is a covalent bond ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let 's start at 6 . ignore the yellow for now and add 5 to it . 1 , 2 , 3 , 4 , 5 .
how would you add negative numbers ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and then we ended up at 7 . and that was our answer . we can do a couple of different ones .
when subtracting a negative number from a negative will your answer be positive or negative ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized . so number line , i just write all the numbers in order . and i go high enough just so all the numbers i 'm using are kind of in it .
what are the rules of negative and positive numbers ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
1 , 2 , 3 , 4 . so how many total avocados do i have now ? that 's 1 , 2 , 3 , 4 , 5 , 6 , 7 avocados .
o_o how many of you guys are homeschooled and what grade are you in ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
i 'm going to do it in different colors now . 5 plus 6 . so if you want , you could pause the video and try this .
where and when did the plus sign originate from ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
what does the `` + '' sign mean ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
well let 's say i start with an old classic . 1 plus 1 . and i think you already know how to do this , but i 'll kind of show you a way of doing this in case you do n't have this memorized or you have n't already mastered this .
what is 1 plus 1 ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
that was too easy , so let me give you something a little bit more difficult . i like the avocados . i might stick with that theme .
why do we need yellow avocados , when we already have green ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so let me put this 4 in yellow so you know that these are the ones you 're giving me . 1 , 2 , 3 , 4 . so how many total avocados do i have now ?
when you add negative numbers for example -3+1 what would be the answer ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so you know the first number is 0 , which is nothing . maybe you do n't know , but now you know . and then you go to 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 .
why people can sum and animals do n't ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
so 3 plus 4 is equal to 7 . and now i 'm going to introduce you to another way of thinking about this . it 's called the number line . and actually , i think this is how i do it in my head when i forget -- if i do n't have it memorized .
is using your fingers as a way to add and subtract the best way for small number values ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me .
where did the `` + '' sign come from ?
welcome to the presentation on basic addition . i know what you 're thinking , sal , addition does n't seem so basic to me . well , i apologize . hopefully by the end of this presentation or in a couple of weeks it will seem basic . so let 's get started with , i guess we could say , some problems . well let 's say i s...
well let 's say i start with an old classic . 1 plus 1 . and i think you already know how to do this , but i 'll kind of show you a way of doing this in case you do n't have this memorized or you have n't already mastered this .
1 , can you explain how taste avocado is ?