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Basic Addition

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    Welcome to the presentation
    on basic addition.
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    I know what you're thinking,
    Sal, addition doesn't
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    seem so basic to me.
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    Well, I apologize.
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    Hopefully by the end of this
    presentation or in a couple
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    of weeks it will seem basic.
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    So let's get started
    with, I guess we could
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    say, some problems.
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    Well let's say I start
    with an old classic.
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    1 plus 1.
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    And I think you already know
    how to do this, but I'll kind
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    of show you a way of doing this
    in case you don't have this
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    memorized or you haven't
    already mastered this.
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    You say, well, if I have 1,
    let's call that an avocado.
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    If I have 1 avocado and
    then you were to give me
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    another avocado, how many
    avocados do I now have?
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    Well, let's see.
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    I have 1, 2 avocados.
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    So 1 plus 1 is equal to 2.
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    Now, I know what
    you're thinking.
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    That was too easy, so let
    me give you something a
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    little bit more difficult.
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    I like the avocados.
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    I might stick with that theme.
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    What is 3 plus 4?
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    This is, I think, a more
    difficult problem.
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    Well, let's stick
    with the avocados.
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    And in case you don't know what
    an avocado is, it's actually
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    a very delicious fruit.
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    It's actually the fattiest
    of all the fruits.
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    You probably didn't even
    think it was a fruit,
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    even if you ate one.
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    Let's say I have 3
    avocados-- 1, 2, 3.
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    And let's say you were to
    give me 4 more avocados.
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    So let me put this 4 in yellow
    so you know that these are
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    the ones you're giving me.
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    1, 2, 3, 4.
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    So how many total
    avocados do I have now?
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    That's 1, 2, 3, 4,
    5, 6, 7 avocados.
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    So 3 plus 4 is equal to 7.
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    And now I'm going to introduce
    you to another way of
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    thinking about this.
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    It's called the number line.
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    And actually, I think this is
    how I do it in my head when I
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    forget-- if I don't
    have it memorized.
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    So number line, I just write
    all the numbers in order.
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    And I go high enough just
    so all the numbers I'm
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    using are kind of in it.
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    So you know the first number
    is 0, which is nothing.
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    Maybe you don't know,
    but now you know.
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    And then you go to 1, 2,
    3, 4, 5, 6, 7, 8, 9, 10.
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    Keeps going-- 11.
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    So we're saying 3 plus 4.
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    So let's start at 3.
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    So I have 3 here and we're
    going to add 4 to that 3.
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    So all we do is we go up the
    number line, or we go to the
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    right on the number
    line, 4 more.
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    So we go 1, 2, 3, 4.
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    Notice all we did is we just
    increased it by one, by
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    two, by three, by four.
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    And then we ended up at 7.
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    And that was our answer.
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    We can do a couple
    of different ones.
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    What if I asked you
    what 8 plus 1 is?
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    Well, you might
    already know it.
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    You know, plus 1 is
    just the next number.
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    But if we look at the
    number line you start
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    at 8 and you add 1.
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    8 plus 1 is equal to 9.
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    Let's do some harder problems.
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    And just so you know, if you're
    a little daunted by this
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    initially, you can always
    draw the circles.
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    You can always do
    the number line.
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    And eventually, over time, the
    more practice you do-- you'll
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    hopefully memorize these and
    you'll do these problems
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    in like half a second.
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    I promise you.
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    You just got to
    keep practicing.
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    I want to draw the number line
    again, actually, I have a line
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    tool, so I should give you
    all those ugly looking lines
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    that I've been giving you.
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    Look at that.
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    That's amazing.
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    Let me see.
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    Look at that.
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    That's a nice looking line.
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    I'm going to feel bad
    to erase it later on.
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    So let me draw a number line.
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    0, 1, 2, 3, 4, 5, 6, 7, 8,
    9, 10, 11, 12, 13, 14, 15.
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    So let's do a hard problem.
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    I'm going to do it in
    different colors now.
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    5 plus 6.
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    So if you want, you could
    pause the video and try this.
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    You might already
    know the answer.
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    And the reason why I say this
    is a hard problem is because
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    the answer has more numbers
    than figures, so you can't
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    necessarily do it
    on your fingers.
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    So let's get started
    with this problem.
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    Actually, my phone is ringing,
    but I'm going to ignore the
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    phone because you're
    more important.
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    OK, let's start at the 5.
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    So we start at the 5 and
    we're going to add 6 to it.
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    So we go 1, 2, 3, 4, 5, 6.
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    And we're at 11.
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    So 5 plus 6 is equal to 11.
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    Now I'm going to ask you a
    question, what is 6 plus 5?
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    Well, we're now
    going to see that.
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    Can you switch the two numbers
    and get the same answer?
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    Well, let's try that.
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    And I'm going to try it in
    a different color so we
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    don't get all confused.
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    So let's start at 6.
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    Ignore the yellow for
    now and add 5 to it.
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    1, 2, 3, 4, 5.
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    We get to the same place.
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    And I think you might want
    to try this on a bunch of
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    problems and you'll see
    it always works out.
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    That it doesn't matter what
    order-- 5 plus 6 is the
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    same thing as 6 plus 5.
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    And that makes sense.
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    If I have 5 avocados
    and you give me 6,
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    I'm going to have 11.
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    If I have 6 avocados and
    you gave me 5, I'm going
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    to have 11 either way.
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    Since this number line is so
    nice, I want to do a few
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    more problems using it.
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    Although as I use it I'm sure
    I'll just continue to confuse
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    you because I'll write
    so much on top of it.
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    But let's see.
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    I'll use white now.
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    What is 8 plus 7?
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    Well, if you can still read
    this, 8 is right here.
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    We're going to add 7 to it.
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    1, 2, 3, 4, 5, 6, 7.
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    We go to 15.
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    8 plus 7 is 15.
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    So hopefully that gives
    you a sense of how to do
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    these types of problems.
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    I guess this and you're going
    to learn multiplication in a
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    little bit, but these types of
    problems are-- when you're
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    getting started off in
    mathematics, these kind of
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    require the most practice and
    to some degree, you have to
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    start memorizing them.
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    But over time, when you look
    back, I want you to remember
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    how you feel while you're
    watching this video right now.
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    And then I want you to watch
    this video in like 3 years and
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    remember how you felt when
    you're watching it now.
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    And you're going
    to be, oh my God.
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    This was so easy because you're
    going to learn it so fast.
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    So anyway, I think
    you have an idea.
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    If you don't know the answer to
    any of the additional problems
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    that we give in the exercises
    you can press the hints and
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    it'll draw circles and you can
    just count up the circles.
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    Or if you want to do it
    on your own so you get
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    the problem right, you
    could draw the circles.
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    Or you could draw a number
    line like we did in
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    this presentation.
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    I think you might be ready to
    tackle the addition problems.
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    Have fun.
Title:
Basic Addition
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Video Language:
English
Duration:
07:42
dhbot edited English subtitles for Basic Addition
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maciej.bartylak edited English subtitles for Basic Addition
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Mike Ridgway edited English subtitles for Basic Addition
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