Learning: Patterns in Whole Numbers Video Lecture - Class 6

hello friends this video on whole
numbers part 12 is brought to you by
exam for calm no more fear from exam so
now that we have learned so much about
various operations various properties of
whole numbers it is time to talk about
something very interesting we will learn
about patterns and whole numbers
you must thinking what what kind of
patterns and whole numbers now one
interesting thing to observe is that all
goal numbers can be represented in dots
pattern to form some kind of shape now
this shape could be a line it could be a
rectangle it could be a square or it
could be a triangle so the numbers can
be represented in one of these forms now
it would be incorrect to say that all
the whole numbers can be represented in
this pattern because there are two
exceptions zero and one so except zero
and one all other numbers can be
represented in the pattern of dots to
form one of these shapes lines rectangle
square or triangle so let's draw
patterns for some of them let's start
with two now how would you represent two
with dots we would need two dots to
represent two two now when you keep two
dots like this what is it it basically
forms a line when you keep or if you
keep two dots like this what does it
form it basically forms a line so you
see that the dots pattern results in the
formation of line what about three same
three again you can either align the
dots to form a line or you can align the
dots somewhat like this to form a
triangle like if you want you can even
align the dots like this but in this
case also it forms a triangle so
basically three can be represented in
the pattern of a line it can also be
represented in the
pattern of a triangle let's talk about
five now in five it can be represented
as a straight line with five dots lying
straight is there any other options for
five do you want to try making a
triangle now in order to make a triangle
a triangle can be formed only if you
make dots like this in the first time
you have three dots in the second line
you have two dots and then you should
have one going on only then you will
make a triangle but here we have a total
of five dots so triangle is not possible
can you make a square or a rectangle so
for rectangle or square you would need
four dots basically but here you have
five dots so rectangle or square and
also not to be possible so only thing
that is possible with five dots as a
language let's see what all can be make
with six six we can do a lot of things
the first thing that we can do as usual
is align second thing that we can do is
a rectangle as well if you arrange three
dots in a row you get two rows so this
forms a rectangle if you want to arrange
two dots in a row in that case also you
get a rectangle so rectangle is another
option for six you can even make a
triangle let's say three points then two
points than one point so what is this
this is nothing but a triangle now this
triangle you can align in many different
ways for example you can align it in
this fashion also so this is also
triangle so with a six you can make a
line or a tangle or a triangle what
about nine now with nine as usual you
can make a line definitely with nine you
can also can make a rectangle with nine
not really because if you please
four points in a line then you not be
able to make three lines or two lines
because you
we'll have one point extra so you can
only have a square with nine if you
place the points like this you get a
square so squared is one option and line
is another option can you draw a
triangle let's try let's say we keep
four points here then three points then
two points but how many points have we
covered four plus three is seven plus
two nine we have already covered nine
points but we would need one more point
to make a triangle therefore triangle is
not possible but do you think that we
can make a triangle with ten yes we can
one two three four one two three one two
and one so in this way we can make a
triangle so it's ten a triangle is
possible with ten again a line is
possible so a line is possible with like
almost all the numbers which then we can
also make a rectangle like five dots in
a row so this forms a rectangle so you
can have a line you can have a triangle
you can also have a rectangle can have a
square you can't have a square because
for square you would need same number of
dots and all the lines none then you
cannot divide it into equal number of
dots and all lines right so in this way
we see that all the numbers can be
represented in the pattern of these dots
to make many interesting shapes thank
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