hey guys it's Kaeleigh this lesson is on division and writing a remainder as a
decimal let's get the hang of this together with some smaller numbers to
start so here it's so 7 divided by 5 if I write that a standard form it's gonna
look like 5 goes into 7 how many times so we know 5 goes into 7 one time and 1
times 5 is 5 and if I subtract here I get a 2 so now I am saying 5 goes into 2
how many times which I know it can't go in a whole number so traditionally I
would say 1 with a remainder of 2 right so that's writing my remainder at the
whole number but this lesson is on writing my remainder as a decimal so
let's try it again so I'm gonna say 5 goes into 7 how many times well I know
it's 1 and 1 times 5 is 5 and if I subtract that now I have a 2 so now I'm
back to where I was with this problem here but now I'm going to convert this 7
to a 7.0 so I know that 7 is the same as 7.0 but now that I've put this decimal
here I have to put it up here right in line with my answer but now I can take
this zero and I can bring it down and it's my new dividend so now my divisor
is 5 and my dividend is 20 I know 5 goes into 20 how many times
from your 5 fact families 4 times and 4 times 5 is 20 subtracting that gives me
0 so now I'm complete now I've written my remainder of two that I had over here
as 0.4 so I can say 7 divided by 5 is equal to 1
point four all right let's try some harder problems together now we're gonna
do this first problem together it says 66 divided by 55 so let's write
it out we're gonna say 55 goes into 66 how many times so we know 55 goes into
60 6 one times we can put a 1 up here we say 1 times 55 is 55 we're gonna
subtract these when we get 11 down here
so 55 how many times like does that go into 11 less than 1 right so we're gonna
do we're gonna put a decimal point here we're gonna put a 0 here remember when
we put a decimal point in our dividend we have to put it right above it in our
answer line 2 and then we can take this zero and we can bring it right down here
so now 55 goes into 110 how many times you might know this fact family but 55
times 2 is 110 so we'll put our 2 up here right above
our 0 behind our decimal then we say 2 times 55 is 110 we subtract this and we
say 0 remember when we get a 0 down here we know that we just have a 0 up here so
our answer comes to one point two which looks like this one right here nice work
let's do one more together so our next one here says 39 divided by 30 let's
write that out we're saying 30 goes into 39 how many times well we know 30 times
1 will go into there that would give us 30 when we subtract here we end up with
a 9 so how many times does 30 go into 9 less than 1 so it's time to add our
decimal point here we're gonna put a zero behind our 39 when we put our
decimal point here in the dividend we rise it up to our answer and then we can
bring this 0 down to give us a bigger number so now we're saying how
many times does 30 go into 90 so you might know that 30 times 3 is equal to
90 so we can put our 3 up here and now 3 times 30 is 90 that gives us 0 down here
so that's our total answer 1.3 nice work let's do one more to finish it off
together all right so the final example Ramji together it says 98 divided by 70
so in standard form I say 70 goes into 98 how many times I
know 70 goes into 98 one time and one times 70 is 70 and if I subtract that I
get 8 and 228 and now I'm saying 70 goes into 28 how many times not a whole
number so that's my signal I put my decimal point in a zero I put my decimal
point right above it in my answer and I go ahead and bring my zero down so now
I'm saying 70 goes in a 280 how many times those are some big numbers but
notice they both have these zeros at the end so let's do a little side problem
over here it's basically the same as saying seven goes into 28 how many times
you know from your 7 Fox family 7 times 4 is 28 right so that's the same as
saying 70 goes into 284 times so I put my 4 up here 4 times 70 is 280 that
gives me a 0 down there so now I'm complete my answer is 1.4 which is right
there so great job learning how to write your remainder as a decimal practice
what you've learned by doing the online games and quizzes have fun and remember
to always be clever