Examples: Writing Standard Forms Video Lecture - Class 8

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let's look at some questions question
number one experience the following
numbers in standard form here you have a
big number so that is your decimal point
right now it's sphere so we need to
shift this decimal point all to these
places to reach that point where you get
a decimal number less than 10 so we have
to shift it somewhere here so that it
becomes six point zero 2 into 10 to the
power how many jumps 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 so this is 10 to the
power 15 6.0 2 into 10 to the power 15
let's look at the next one here your
decimal point in the end you will move
towards the right that is 1 2 3 4 5 6 7
8 9 so this becomes 8 point 3 7 into 10
to the power minus 9 so another way of
remembering resentment you put positive
exponent and magnitude negative exponent
is the negative exponent you would fear
any worries me jump towards the right
put positive exponent you already made
jumps towards the left but remember to
express the following numbers in visual
form so the numbers are given in their
standard form and you have to write it
in their usual form 3 into 10 to the
power minus 8 so since you have to write
T now simply 1/2 minus 8 what does that
mean that means 220 would be get minus a
3 22 you know and whenever we write
negative exponents we can do towards
right make by writing to standard form
so this time let's is minus 8 is already
event that means the decimal point would
somewhere this side because only when
the decimal point was decide you would
be making jumps towards the right
correct but it is 10 to the power minus
8 so that means you must have one two
three four five six seven zeros after
the decimal point so that
many drums will you take 1 2 3 4 5 6 7
and 8 because you are giving again 3
into 10 to the power 9 grenade so that
means this this would be the usual form
point 0 is equal to 0 0 0 0 0 3 let's
look at the next one where you have a
positive exponent first you write the
number you get this piece which land 4 9
2 then how many what is the power on 10
it is 10 to the power 6 so what you do
you put those many zeros that is you put
6 zeros 1 2 3 4 5 6 perfect to this tiny
are two zeros after the number because
it is positive exponent so anywhere it
is a positive exponent and zeros after
the none to it when it is negative
exponent and zeros before the number so
negative exponent what you do add zero
zeros in fact this for the numbers in
this game add zeros after the number so
you are added for many zeros now there
would be the decimal point located so
look at this here is the decimal point
is up after the decimal point how many
digits do you have 1 2 3 4 5 so comma 5
digits prompted from the end 1 2 3 4 5
so the decimal point would be located
here so therefore your answer would be 3
6 1 4 9 to 0
wherever you have positive exponent and
zeros after the number you have negative
exponent and zeros before the number
question on the tree expense the number
appearing in the following statement in
standard form charge of an electron is
is this mega Coulomb so how will you
express this with standard form for
standard form you want to get in the
point to be present here so you need to
shift the decimal point from here to
here it would be 1 point 6 into 10 to
the power minus how many jumps look at
need 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 would be
1 point 6 into 10 to the power minus 19
coulomb checking random size of a
bacteria is zero point zero zero zero
zero zero zero five because this was put
in standard form what is the number that
you would be such that an answer lies
between 1 and 10 so that numbers would
be fine so you want a decimal point to
be here so that it becomes 5 into 10 to
the power minus how much 1 2 3 4 5 6 7
so this would be 5 into 10 to the power
minus 7 meters now please remember that
if you write it like this
0.5 into 10 to the power minus 8 even
though this value is equal to this but
this is not the standard form right
that's because zero point five thousand
lies between 1 and 10 question number 4
in a SAS error file books each of
thickness 20 mm and 5 paper sheets each
of thickness 0.01 6 mm what is the total
thickness of the stack so the total
thickness of the staff would be equal to
total thickness of the book plus total
thickness of the sheet so let us first
calculate total thickness of the books
so how many books do we have your size
book and thickness of each book is 20 mm
so 5 into 20 is 100 so 100 mm is the
total thickness of the book now let us
calculate total thickness of the sheet
paper sheet now each paper sheet
thickness is 0.01 take this multiply it
by 5 which gives you points 0 l 0 ml so
this is the total thickness of the sheet
therefore I can find out the total
thickness of the stack the total
thickness of stack will be hundred plus
point zero eight zero mm is equal to
hundred point zero eight mm now if I ask
you right
standard form how will you write it in
standard form for standard form a
decimal point must be located after such
a number so that you get an accessible
number between 1 and 10 so you need to
shift the decimal point to this place so
that we did one point zero zero eight
which is a number between 1 and 10 and
10 to the power how much equal this time
you are looking towards the left so
wherever you are jumping towards the net
then the exponent is always positive and
here what make you jump so it could be
10 to the power 2 so this is one point
zero zero 8 into 10 to the power 2
please remember this is building later
you are jumping towards the next that is
you are the making the decimal point
jump towards the next your exponent is
going to be positive
wherever you are making at a single
point jump towards the right your
exponent is going to be negative so with
this we have these towards the end of
this lecture and I hope that this lesson
on powers with an attitude the title for
more problems and seeing if if you have
any further questions you can get in
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few on in the next level thank you
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