Abacus Lesson 23 // Addition -Complementary Numbers Respect to 10- TEN'S Column Video Lecture | Abacus Master Class:Become an Expert (English) - Personal Learning

all right here we go with lesson number
22
adding complementary numbers with
respect to 10 in the tens column all
right so here we go let's just jump
right into this and it will probably
make sense as we go in fact it'll
probably be quite a bit easier than you
think it will be so let's start with the
number 14 and add to it the number 6 so
let's put 14 on our calculus a 14 is a 1
and a 4 so then we have a 14 and we are
going to add to that the number 6 well
we know that we need to new we know that
we need to use complementary numbers
because when we go to put six in the
ones column we are out of beads and so
what do we do when we're when we're out
of breeds that's our that's our trigger
to use the complimentary numbers and in
this case with respect to 10 so when
we're adding we subtract the complement
so here we go
the complement to the number 6 if you've
been studying your numbers you're just
going to know this right off the bat and
here we go is the number 4 so that means
we take away 4 and add 1 in the tens
column so even though you can probably
do this in your head the more you get
used to using complimentary numbers the
better off you're going to be so 14 plus
6 is a 2 and a 0 20 all right so let's
do another one
let's do the number let's do 12 plus 9
clear your abacus let's put the number
12 on there there is the number 12 and
we are going to add to that the number 9
12 plus 9 so I go to put
nine in the ones column and I am out of
beat I already have two on there so I
can't add nine to it
there's my trigger to use complimentary
numbers the compliment to the number
nine is one so when I'm adding I
subtract the compliment there we go so
I'm going to slide that beat away and
add twos it and add a number one in the
tens column so 12 plus 9 is 21
now you're going to you're going to
start liking this in the next few
lessons here it's going to get more and
more fun trust me
12 plus 9 is 21 all right let's do
another one
22 plus 18 20 22 plus the number 18 all
right so here we go this one's a little
more fun since we have a two digit
number that we're using and that is the
number that we're adding with so we're
going to start here in the tens column
because an 18 is written a 1 and an 8
and remember when we're doing abacus we
start at the left and move our way right
just like it just as if you do as if
you're reading when we're doing normal
bath we start over here on the left hand
side and work our way in that direction
in abacus world we're going to start
over here and work our way that way so
here we go it's a lot of fun 22 plus 18
we start with the number 1 because an 18
is written to 1 and an 8 and I slide
that up there all right now the 8 now we
got to put an 8 in the ones column and I
go to do that oh man look at that there
are no not enough beads what oh yeah
complementary numbers what's the
complement to the number 8 compliment to
the number 8 is 2 so that means I'm
going to take away 2 from that bead and
add 1 in the next column over which is
the tens column so 22 plus 18 is
four and the 0:40 22 plus 18 is 40 this
can fun let's do another one
all right 16 plus 19 a 1 and a 6 there
is the number 16 and we are going to add
to that the number 19 so a 19 is written
a 1 and a 9 so we start right here and
we are going to add 1 to the tens column
and then we need to add a 9 to the ones
column oops
out a number or how to beads so what are
we going to do we are going to subtract
the complement of 9 which is the number
1 so we're going to slide one beat away
in the ones column and add a bead in the
tens column simple as that
you're right now is where you can really
start to see the beauty of the abacus
all you have to do is memorize these
pairs to slide one beat away put one
beat away put one over here and there it
is your number just magically appears 16
plus 19 is 35 all right here we go one
more well we'll do we'll do a couple so
here let's do a fun one like 9999 and we
are going to add to that the number 10
99 + 10 now that's as simple when you
math whizzes can do this one in your
head but let's let the abacus figure it
out for us give your brain a break I
guess so alright the number 10 is
written a 1 and a 0 so we need to put a
1 in the tens column oh man
there are we're maxed out here we can't
put it in we can't put another beat here
so that means we have to subtract the
complement so the complement to the
number 1 is 9
so that means we just need to clear this
column take away 9 and add 1 in the
hundreds column
and there's a zero in the ones column so
we don't have to do anything there so 99
plus 10 is 101 1 0 & a 9
109 okay we're going to do something a
little bit different now on this last
problem you notice when we did the 90
and 9 and we added one here in the tens
column if you've done math in other
places you're probably used to the term
carrying when we added one here we had
to carry one over to here and that's
what's actually happening when we did
that we carried a 1 over into the
hundreds column so in this next problem
we're going to do one that involves
multiple on more than one carry set the
number 55 on your abacus there it is the
number 55 and we are going to add to
that the number 55 and let's see alright
so we start here we need to add 5 to
this well out of beads we can't add
another 5 so we are going to subtract
the number 5 because the compliment to
the number 5 with respect to 10 is 5 so
we take that 5 away add 1 there that's
so this one's taken care of and now we
need to do the ones column we need to
add 5 to that not enough beads subtract
the complement and add 1 in the next
column over in the tens column and there
you have it not much calculating you
have to do in your head just read the
abacus which is what's this number a 1 a
1 and a 0 55 + 55 is 110 1 1 0 110 so
there it is let's do one more like that
these are kind of fun let's do 8 plus 37
here is the number 8 and we are going to
add
- that the number 37 well since 1/8
technically already has zeros on this
side of it and zeros that way well this
is a zero and we're going to add 0 plus
3 in the tens column so here we go all
we have to do is just slide that up for
the number three that columns a piece of
cake and over here we go to add seven oh
no not enough beads that means I get to
have some fun and add to that the number
seven we get to use complimentary
numbers so the compliment to the number
seven is the number three I'm going to
subtract that compliment and add one
over here on the ones column so 8 plus
37 is 45 a four and a five forty five
all right we will do one more and I
think you'll have this because it's a
piece of cake but a lot of fun all right
here we go
so set the number 64 on your abacus a
sixth and a four 64 and we are going to
add to that the number twenty six 64
plus twenty six all right we start in
the tens column because we're starting
on this side right and all we have to do
is slide two beads up we just added 20
to that now we need to add six and over
here in the ones column we need to add
six not enough beads so that means we
subtract the compliment or take the
compliment to the number six is for
isn't it that's why I'm sliding these
four beads down and I'm going to slide
one up over here and there's our answer
64 plus 26 is a nine and a zero 90 64
plus 26 is ninety all right that's all
we're going to do in this lesson I think
you can get it from here it's a piece of
cake we're getting into the fun stuff of
the abacus where do we start subtracting
you can't wait for that we got to do the
hundreds column first so go print off
that worksheet work through the program
work through the problems on the
worksheet and again you know this isn't
just do as many as you want do you feel
like you really have a grasp of what's
going on it's not a requirement they
have to finish all the problems that
they're what you want to do is really
just get a feel for how the abacus works
so that's it go print off your worksheet
work through the problems and get used
to using complementary numbers with
respect to the number ten
you