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Question 1 Number System Exercise 1.2

Express the following rational numbers as decimals. (i) 42/100 (ii) 327/500 (iii) 15/4

Answer:

"hello students welcome to lido homework
i'm tutor aaron swati from lead role
learning
now let us express the following
rational numbers
as decimals so we have 3
parts 42 divided by 100
327 divided by 500
and 15 divided by 4.
so we'll go by each question
so now we'll solve our first question
that is
42 divided by 100
so in order to express them as
decimals we go for the long division
method
for every question it will be the same
so we'll solve the first question which
is 42 divided by
100 so 42
divided by 100 42 is not divisible by
100
so that we'll keep a decimal and add
two zeros to 42 so that it becomes 4200
now we know for four times we'll get
400 so
we could write that in the next step
we'll be subtracting
420 and 400 so that the reminder will be
20. now we have one more zero
we'll bring it down as 20 is
doesn't come under 100 so 2 times
now we'll get it as 200 and now
the reminder is 0 therefore we have got
our
decimal form of 42 divided by 100
therefore the decimal form of
42 divided by 100
is 0.42
now we will go for the second part
that is 327
divided by 500.
so 327 inside and 500 will be
outside 327 is not exactly divisible by
500
so that we'll keep a point and add
two zeros so now we got
it as thirty two thousand seven hundred
we know that we'll get three thousand
six times so 6 into
500 is 3 000 so we could write that
so when we subtract that our reminder
will be
two thousand seven hundred
five hundred into five is two thousand
five hundred so for five times we'll get
two thousand
five 500 when we subtract them
we will get the reminder as 200
but 200 is not divisible by 500 we have
one more zero here
so at this stage i'll bring it down now
2000 is divisible by
500 so for four times we'll get
2000 the reminder is
zero so now we got our decimal form of
327 divided by 500
therefore 327
divided by 500 is equal to
0.6
now we'll solve our third part
that is 15 divided by 4
by long division method 4 and 15
4 is not divisible by 15 so that
sorry i made a small mistake it is 15
divided by 4 i just made a ulta of it
yeah so 15 divided by 4
yes 15 is actually divisible by
4 for 3 times we'll get 12
the reminder is 3 now 3 is not divisible
by 4 so that we'll keep a decimal value
and add a 0 with it
for 7 times we'll get 28
will get the reminder 2
for 5 times we'll get it as
20. i'm adding an
0 again with this so that it will be 20
so 20
is 5 times so our reminder will be
0. therefore the decimal form of
15 divided by 4 is
3.75
if you have any doubts please post your
questions in the comment box
and subscribe the channel for regular
updates thank you"

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