Ok, in this video I wanna talk about some arithmetic basics and what I'm gonna do here
is just long division. And the examples I'm gonna do, I'm going to take a fraction
and express it as a decimal.
So the number I want to do here is 24,158
divided by six, so nothing too crazy. Um,
whenever we're dividing usually when we do long division we'll make the little bar
and then put the number out front. Ok, remember that the thing underneath
that's called the dividend and the thing upfront
is called the Divisor. So we have a Divisor
of 6 and a dividend of 24,158.
So what I do when I do long division, and it's crucial to know your multiplication
tables when you do long division.
We're just gonna make it you know really hard so I look at the first numbers 6
and two I think will 6 go into the number two a whole number of
times and the answer is no because it's too big. Six is too big
so then I look at the next two numbers and I think will 6 go into
24 well six times 24
is four and then I multiply four times 6 is 24
and I subtract and I'll get just zero this time
and then I drop down the next number. OK, so I drop down the number one
and
so I've got zero and one if you want to you can just get rid of the 0
it's just the number one and then again I think will 6 go into the number
one we'll know the answer because it's
the answer is no because it's too big
so, it'll go into the number one 0 times
so then I take 0 times 6, so 0 times 6 and again I put that number
underneath which is just 0 and then I subtract
so 1 minus 0 is 1 and then I do the same thing
I drop down the next number which is going to be a five OK, so now I've got the
number 15
well 6 will go into the number 15 and I believe
it'll do so twice without being too big
2 times 6 is 12. 3 times 6 is
18 which is bigger than the number fifteen so 2 times 6 is 12 then we do
the same thing
we just subtract so 15 minus 12 is 3
and then we can drop down
the next number which is an 8 OK
and now I think will three go into 38 certainly
6 times cause 6 times 6 is
36 and then we get two and get the number
zero. Well you could
at this point stop and um, excuse me I'm going to leave the zero off
um, you could stop with the two and say you have
the number 4,026 with the remainder of two, but
what's gonna happen is we want to write this as a decimal
so I'm gonna go back and write the number 24,158 with
a couple of zeros after it because certainly that doesn't change its value
it's not going to change its value
and then what I do is wherever the decimal place was
I move it and bring it up exactly in the same place
so it's kinda good to keep everything lined up here
ok, so what I'm gonna is that's where I was getting that extra zero from
I'm gonna drop down this next 0 and get the number 20
so I think will 6 go into 20
and the answer is yes. Six will go into twenty
three times. Whoops, black pen is running out
um, three times and then I do the same thing I just multiply
so 3 times 6 is 18
ok, so now if I subtract 20 minus 18 is
2. Well, what's gonna happen? We're going to get the same number that we had
right before we're going to get the number 20 again.
Well we're kind of caught in a infinite little loop here because
when I put a three up here because it's the whole number of times
16 will go into the number 20. I'm gonna get another
18. I'll subract. I'll get a 20. I'll drop down another zero
and I'm gonna keep getting 3's forever and ever and ever
okay so the way that we write the fact that we keep getting 3's forever and
ever and ever
Ok, so we put that little bar over, over top of it
then that bar means whatever numbers
are underneath that bar thoses
sequence of numbers keep repeating forever and ever and ever.
Ok, so basically it says two,
it says two, four, one, five, eight
divided by six. We can now write that as the decimal
4,026
with three repeating forever, so 3333333
Alright so I hope this little arithmetic example helps you out.
if you want to see some others feel free to post comments and let me know.
If you have any questions, feel free to post those as well.
Alright. Good luck out there.