How to do 10 To The Power Of On Calculator
Calculators with Scientific Notation
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today's lesson how to do scientific
notation on your calculator this is one
of the most frustrating things in the
world for me to teach because frankly no
one listens to me and people get things
wrong all the time because they don't
know how to use scientific notation on
their calculator they do it their own
way and they get it wrong so how do you
put a number in introducing the e button
locate that button on your calculator oh
what's that you don't have a calculator
well I told you to bring a calculator
every day not my problem you should
really have one if you don't have one go
buy one you should have your own
calculator every day because different
calculators are going to look different
you're not you're going to learn how to
use one calculator then you're going to
steal some of the other calculating you
want how to know how to use it it's
really important that you learn how to
do this on your calculator and always
have that same calculator because I did
not wish to teach you in the middle of a
test how to use your calculator I'm
doing that now I'd rather not do this
again
so the e button the e button is going to
look like one of these three things it's
silly they're going to look like a
double e as in this old TI model the e e
button the scientific notation button is
right here for that one for Casio what
you generally shows up on the bottom and
it looks like an exp right here or we
have a lot of you're familiar with this
one this is the one that the math
department uses it's this button right
here this I can't get it to focus but
right here this time is 10 to the in
button right there so please locate that
on your calculator that's what it is
that's where to find it if you can't
find it I'm going to you'll probably
pause the video here make sure everyone
in the room has found that button on
their calculator those are all different
labels but they all do exactly the same
thing it takes the number that you just
didn't put it and then put it and then
it puts in a times 10 whether it shows
it or not it puts it in
and and then it waits for your exponent
it waits for your exponent so if I have
for example three point zero seven times
ten to the fourth and I want to put that
into my calculator I'm going to hit
three point zero seven I am NOT going to
hit x I'm not I'm just going to hit my e
button put it in scientific notation the
three point oh seven and now I'm saying
hey I want this in scientific notation
calculator so I just hit the scientific
notation button and different
calculators show it differently this
calculator puts a capital letter E there
other calculators if I were to use the
math calculator I hit three point zero
seven and whenever I hit this times ten
to the button it comes up times ten to
the so it's pretty obvious that they put
that ten in there and it's waiting for
that exponent and on the old key is the
EES over here it's going to look like
three point zero seven and then my EE
button here and on this particular
calculator shows doesn't show the ten at
all it just shows the exponent you can
tell that I'm waiting for the exponent
so if I had a four now it shows up as
the exponent but a four here comes after
the e if I had a four here comes up as
an exponent now if you have this
particular calculator a lot of times
it's confusing how to get out of
exponent mode on this one you just hit
the right button and that gets you back
down into regular mode so different
calculators different ways of getting
there and they'll all look different but
those are all the same numbers those are
all thirty thousand seven hundred
written in scientific notation so make
sure that you know what that looks like
on your calculator similarly when you
get a number out when you do a
calculation and it shows the answer it's
going to show it in this format if you
have this calculator it's not going to
say x ten you need to know that's times
10 to the fourth when it puts that
little exponent up there
and for this calculator if you ever see
a capital e that means it's in
scientific notation and so if I hit
equals on all these it will give me a
decimal answer as long as it fits on the
screen these will just this will spit
out decimal answers when you hit equal
so so now let's see there are other ways
people can put these in but they involve
knowing what you are doing and I don't
trust that that's the best way to teach
you how to do it so let's say that I
want to divide two numbers I want to
divide 3.07 times 10 to the fourth
divided by six point two times 10 to the
negative third and I want to know what
that number is well for the Casio model
and the TI model these are actually both
very easy things to do you can just put
the first number in 3.07 times 10 to the
fourth 3.07 times 10 to the fourth by
the way some models of the TI you have
to actually hit the second function to
get to the e e to get to the scientific
notation I find that annoying but anyhow
you have that now you hit divided by six
point two times 10 to the negative third
do that over here divided by six point
two times 10 to the negative third and I
hit equal on both of those and I get the
same number that's good that's good
got the same number notice that I didn't
put in parenthesis probably should have
but on these calculators when you're in
scientific notation it knows that you're
in scientific notation and it groups
those together like you're thinking
however with the math department
calculator this is not the case that are
very particular about orders of
operation on here so if we put that same
number in 3.0 seven times 10 to the
fourth divided by six point two times 10
to the negative third this is not going
to give you the
same answer notice that our number back
here was in the 1-1 dude like 4.9
million yeah it's in almost 5 million
whereas this number is almost 5 so we
got a difference of about a factor of a
million and this calculator did the
right thing in this calculated the right
thing they're just kind of programmed to
handle these numbers in different ways
this one uses the strict mathematical
interpretation that we are just because
you didn't put any parentheses in there
lets the difference is that this
automatically groups scientific notation
numbers that kind of puts the
parentheses in here when you use
scientific notation and this one doesn't
if you do the same calculation without
parentheses notice that we're taking
three point zero seven we're then
multiplying it by 10 to the fourth we're
then dividing it by six point two and
then we're taking that answer and taking
it times 10 to the negative third and
that's a different answer than if we
divide by that whole group you're going
to get a significantly different answer
so if you have this calculator you
better make sure to always use
parentheses I know your math teachers
say to always use your parentheses and
that's not bad advice it's just that
these other calculators are smart enough
with grouping scientific notation
numbers that you don't have to although
it never hurts to put them in
parentheses so go ahead and do a few
divided by now this matters in dividing
it's when you're dividing and you're
dividing scientific notation numbers you
either got to have kind of calculator
that can handle it easily or you've got
to make sure to always put your
parentheses in and that's something that
is going to come up a lot so you better
learn how to do it
