Examples: Comparison of Decimal Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 6

hello friends this video on fractions
and decimals by 20 is brought to you by
exam feel calm no more fear from exam so
based on whatever basics we have
reviewed about decimal numbers like
addition subtraction comparison let us
quickly have a look at some of the
questions question number 1 which is
greater two point zero three or two
point three zero so let us try to
compare so two point zero three and two
point three zero so we compare from left
to right so two and two is same
after the decimal number at the tens
place we have zero at the tens place we
have three so three is greater than 0
therefore this number is bigger let's
look at the next one 0.8 and 0.88 0.8
and 0.88 what does it basically means it
means zero by day to zero so in this
case you see this is same this is same
only at the hundreds place there is a
difference here you have eight here of
zero the eight is greater than 0
therefore this is a bigger number
question number two express as rupees
using decimals so you have seventy seven
rupees seventy seven passage so because
in order to do this you first need to
know the relationship between rupee and
passing now one rupee is equal to one
hundred passing like now since one rupee
is equal to hundred percent we have to
convert this entire thing into rupees so
anyways this part is seventy seven
rupees we know so we are concerned about
this part so how do we thank God 77
passing into rupee so from this we see
that hundred per sale is one rupee
therefore how much would be one person
so 1 by C would be one by one hundred
rupee therefore how much would be 77
so if one person is won by hundred
rupees or 77 by say would be won by 100
into 77 rupee so that is this would be
77 by hundred which is equal to 0.77
rupees therefore when you actually
convert this this becomes 77 rupees plus
zero point seven seven rupees so when
you add these two this becomes seventy
seven point seven seven rupees similarly
if you are asked to convert to
thirty-five pestle so how do you convert
this again one hundred per se means the
next corresponds to one rupee
so therefore 235 passing will correspond
to 235 divided by one hundred rupee so
when you actually divide this you get
rupees two point three five question
number three Express in kg for kg 8
grams again what is the relation between
kilogram and gram so 1 kg is equal to
1000 grams so now with this relation we
see that when thousand grams the present
1kt
then 8 grams would be how much L grams
would be 8 by thousand pages so
therefore this entire thing can be
written as 4 kg plus 8 grams which is 8
by thousand kgs so now this can be
written as 4 plus 0 point 0 0 8 kgs
which is 4 point 0
or 8 kgs question number 4 write the
following decimal numbers in expanded
form so the first one is 200 point 0 3
so how will we write it in the expanded
form for that we first need to know the
position of each digit so this is the
ones place this is the tens place this
is the hundreds place this is the tenths
place and this is the hundreds place so
how do we write it we will write two in
two hundred plus 0 into 10 plus 0 into 1
plus 0 into 1 by 10 plus 0 plus 3 into 1
by hundred now anything multiplied by 0
is equal to 0 therefore this term will
be equal to 0 this term will be equal to
0 this term will also be equal to 0 so
we will be left with 2 in 200 plus 3 by
hundred now let us look at this 1 2
point 0 3 4 so here this is the ones
place this is the one tens place this is
100 place and this is 1000 space
therefore this can be written as 2 into
1 plus 0 into 1 by 10 plus 3 into 1 by
100 plus 4 into 1 by thousand so this
can be this term will be equal to 0
because 0 multiplied by anything is 0 so
this would be 2 into 1 plus 3 in 200 1
by hundred plus 4 into 1 by thousand so
this would be the expansion of 2 point 0
3 for question number 5 right the place
value of 2 in the following decimal
numbers 2 point 5 6 so where is 2
located 2 is located at the ones place
so the place value of 2 is 1 here the
where is 2 located it is located at the
10
because this is the ones place this is
tens place so the place value of 2 is 10
in this case the 2 is located after the
decimal so this is the tens place so
therefore the place value is 1 by 10 so
this is called the tenths place and this
is called the tens place question of
mistakes Shama bought 5 kg 300 grams
apples and 380 250 grams mangoes
Serena about 480 800 gram oranges and 4
kg 150 grams bananas who bought more
fruits so let us first see what did
Shama bring so we see that Shama bought
5 kg 300 grams happens plus 3 kgs 250
grams mangoes so let us try to convert
everything into one unit let's convert
this into kg how will we convert 5 kg
plus 300 grams into kgs will be 300
divided by 1000 so this much kg of
apples plus 3 kg plus 250 grams can be
converted into kg by as 250 divided by
1000 so now this would be equal to 0.3
plus 3 plus 0.25 so this will be equal
to 5 plus 3 which is 8 plus 0.3 plus
0.25 so how do we add something like
this 8.0 0.3 0.25 so you add these three
you get eight point five five so
therefore Shama bought eight point five
five kg of fruits
now what about sila so now let's see
what its alibi so sorry about 4 kg
800 grams oranges +4 AG 150 grams
bananas so let us convert this also into
kg so this would be 800 by 1000
similarly in this case also this would
be 150 divided by 1000 so this will be
equal to 4 plus 0.8 plus 4 plus 0.15 so
this will be equal to 8.9 5 kgs now if
you compare 8.5 five and eight point
nine five which is bigger so eight point
nine five is greater so eight point nine
five is greater than eight point five
five that means sur la bought more
fruits question number seven how much
less is twenty eight kilometers than
forty two point six kilometers so how do
we know how much less is this than the
other by finding out their difference so
forty two point six is bigger so right
forty two point six just below right
twenty-eight so twenty eight is nothing
but twenty eight point zero so when you
subtract you get six now here it is to
eat is 8 so 2 is smaller so we will
borrow one from the side so it becomes
twelve
so therefore this would be four then
again since you have borrowed one from
years now you have three so 4 minus 3
would be 1 so fourteen point six
kilometer is the difference thank you
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