Scientific Notation on the Calculator
Summary
TLDRThis educational video tutorial instructs viewers on how to input numbers in scientific notation using a scientific calculator. It emphasizes the necessity of a scientific calculator for the lesson and suggests reviewing previous material on scientific notation if unfamiliar. The video demonstrates the use of specific calculator keys like 'exp', 'EE', or 'times 10 to the N' for entering scientific notation, using various calculator models including Casio and TI-84 Plus. It guides through step-by-step examples, such as multiplying 6.02 x 10^23 by 0.5, and clarifies how to interpret and record the calculator's display of scientific notation. The tutorial concludes with practice problems to reinforce learning, ensuring viewers can correctly perform calculations and understand scientific notation representation on different calculators.
Takeaways
- 🧮 To enter scientific notation on a calculator, you need a scientific or graphing calculator with specific keys for scientific notation.
- 🔍 If you're unfamiliar with scientific notation, review previous materials to understand the concept before proceeding.
- 💡 The process involves using special keys like 'exp', 'EE', or 'x10^' on the calculator, depending on the model.
- 📚 For example, to input 2.5 x 10^-8, you would enter 2.5, then 'exp', then -8, rather than using multiplication symbols.
- 📱 The video uses a Casio calculator as an example to demonstrate the entry of scientific notation.
- 🔑 On a TI-84 calculator, you would use the '2nd' function to access 'EE' and then enter the exponent.
- 📘 The display of scientific notation on calculators may vary, with some showing a mantissa and exponent in a small window.
- ✅ Practice is essential to become proficient in entering scientific notation on your calculator.
- 📋 When writing answers, ensure you express them in the standard form of scientific notation, not as the calculator's display.
- 📝 The video concludes with practice problems to reinforce learning and ensure understanding of entering and calculating with scientific notation.
Q & A
What is the main topic of this lesson?
-The main topic of this lesson is learning how to enter scientific notation numbers into a calculator.
Why is it important to have a scientific calculator for this lesson?
-It is important to have a scientific calculator for this lesson because the lesson is hands-on and involves solving problems using scientific notation, which requires the use of special keys on a scientific calculator.
What should you do if you're unsure about scientific notation?
-If you're unsure about scientific notation, you should go back and watch the previous video about scientific notation to understand the concept before proceeding with this lesson.
What special keys are used on a calculator for scientific notation?
-Special keys used on a calculator for scientific notation include 'exp', 'EE', and 'times 10 to the N'. These keys are designed to handle expressions like 'times 10 to the power of'.
How do you enter the number 2.5 times 10 to the negative 8 on a calculator?
-To enter 2.5 times 10 to the negative 8, you would type in 2.5, then use the 'exp' key followed by negative 8, without using the multiplication key beforehand.
What is the significance of the 'exp' button on a calculator?
-The 'exp' button on a calculator is significant because it is used to input numbers in scientific notation, specifically to indicate 'times 10 to the power of'.
Why is it necessary to use the correct keys for scientific notation on a calculator?
-Using the correct keys for scientific notation on a calculator is necessary to ensure that the calculator interprets and calculates the numbers correctly, avoiding errors in the results.
How does a calculator display the result of 6.02 times 10 to the 23rd?
-A calculator might display the result of 6.02 times 10 to the 23rd as '6.0 to a 23' or '3.01 e 20 3', which are different ways of representing the same scientific notation.
What is the difference between the 'EE' and 'exp' buttons on a calculator?
-The 'EE' button is often found on Texas Instruments calculators, while the 'exp' button is common on Casio calculators. Both are used for entering scientific notation, but their placement and label may vary.
How should you write the answer 3.01 e 20 3 from a calculator?
-You should write the answer as '3.01 times 10 to the 23rd', not as '3.01 e 20 3', because the latter is the calculator's display format, not the standard scientific notation.
What is the purpose of the right arrow button when entering scientific notation on some calculators?
-The right arrow button is used on some calculators to indicate the end of the exponent entry, allowing you to continue with the rest of the calculation.
Outlines
🧮 Learning Scientific Notation on Calculators
This lesson focuses on entering scientific notation numbers into a scientific calculator. It emphasizes the need for a scientific calculator and encourages hands-on practice by solving problems along with the video. The instructor explains that to input numbers in scientific notation, one must use specific keys like 'exp', 'EE', or 'times 10 to the N', depending on the calculator model. A detailed demonstration is provided using a Casio calculator, showing the correct keystrokes for entering 2.5 times 10 to the negative 8. The video also clarifies that different calculators may display scientific notation differently, using examples like 6.02 times 10 to the 23rd being displayed as 6.0 to a 23 on some calculators. The importance of understanding these displays and writing answers correctly is highlighted.
🔢 Mastering Scientific Notation Calculations
The second paragraph continues the tutorial on scientific notation, using different calculator models to solve the same problem: multiplying 6.02 times 10 to the 23rd by 0.5. It compares the process across a Casio calculator, which uses the 'exp' button, and a TI-30x s, which uses a 'times 10 to the end' button followed by a right arrow to indicate the end of the exponent entry. The paragraph stresses the importance of accurate keystroke entry to avoid errors. It also provides practice problems for viewers to solve on their own, such as adding 9.3 times 10 to the negative 4th and 1.5 times 10 to the negative 3rd, and dividing 8.44 times 10 to the 9th by 2 times 10 to the 10th. The solutions are provided, and the paragraph concludes with encouragement to practice until the correct answers are consistently achieved.
Mindmap
Keywords
💡Scientific Notation
💡Calculator
💡EXP Button
💡EE Button
💡Times 10 to the N
💡Second Function
💡Mantissa
💡Display Format
💡Keystrokes
💡Practice Problems
Highlights
Learn how to enter scientific notation numbers into a calculator.
Ensure you have a scientific notation calculator for this lesson.
Review previous video on scientific notation if unsure about its concept.
Use special keys on the calculator for scientific notation.
Example of entering 2.5 times 10 to the negative 8 correctly.
Identify the EXP, EE, or TIMES TEN TO THE N button on your calculator.
Demonstration on a Casio calculator for entering scientific notation.
Explanation of how to use the EE button on a TI calculator.
How to solve 6.02 times 10 to the 23rd times 0.5 on a TI 84 Plus calculator.
Difference in display between scientific notation and calculator's format.
Guidance on how to correctly write down the calculator's answer.
Using a simple Casio calculator for the same problem.
How to enter scientific notation on a TI 30x s calculator.
Practice problems for reinforcing scientific notation entry on calculators.
Solution for adding 9.3 times 10 to the negative 4th and 1.5 times 10 to the negative 3rd.
Dividing 8.44 times 10 to the 9th by 2 times 10 to the 10th.
Multiplying 0.653 times 6.02 times 10 to the 23rd for practice.
Emphasis on practicing until the correct answer is achieved.
Transcripts
in this lesson we're going to learn how
to enter scientific notation numbers
into your calculator now to to watch
this lesson you really need to have a
scientific notation calculator a
scientific calculator in your hand
solving the problems with me if you
don't do that you're really not going to
be able to learn two months this is a
hands-on video and if you're not sure
about scientific notation and what that
means and how that works you need to go
back and watch the previous video about
scientific notation to understand
exactly what we're doing here now in
order to work with scientific notation
you're gonna use some special keys on
your calculator and you're going to
notice that your calculator has has
special keys if you take the number two
point five times ten to the negative
eight for example and you just start
whoops you start typing two point five
and then the x button and then ten and
then the exp and then the the negative
eight you're going to have probably the
wrong answer you need to use the special
keys that your calculator has in order
to to work in scientific notation so for
example on this calculator I just used a
a Casio as an example you're going to
type in 2.5 and then instead of hitting
times 10 you're going to hit exp the exp
button is the the special key that your
calculator has to handle times 10 to the
and then you hit negative eight and so
if you do this if you do follow these
keystrokes you should get the right
answer every time now you might be
looking at your calculator and not be
able to find an exp button and that's
because on some calculators you're gonna
find maybe an EE button instead or on
some calculators you'll have a times 10
to the N button either of these three
any of these three keys are the the
buttons that are specifically designed
for scientific notation you need to use
those buttons
your calculator ee is pretty common on
TI Texas Instruments calculators some of
the newer calculators you're seeing the
times tend to the end button also some
of the sharp calculators use that a lot
of the Cassio's use exp now if you're
looking for the button and you still
can't find it well it's possible that
you may have one of the the fancier
calculators like a ti-84 in which you
have to hit the second button and then
access a E or exp which is sometimes on
top of the comma if you look at that so
let's look at an example and once again
this is where you need to take out your
calculator and we're going to follow
along now this is what the most common
version of the TI 84 plus looks like
that's used by a lot of high school
students and we're going to solve this
problem right here to pour 6.02 times 10
to the 23rd which is a scientific
notation number times 0.5 and so let's
look at the keystrokes that you actually
have to type in so if you have a ti-84
actually turn your calculator on and
follow along with this do this problem
to make sure you can get the right
answer so first thing you want to hit is
the six tie up point O two so 6.02 don't
hit the x button hit second and then i'm
going to highlight this because this is
important the EE button is right there
okay so can you see where the EE is so
that you're gonna have to hit the comma
okay so second and then the EE now 23
you've hit 6.02 second EE 23 times 0.5
okay that's what you have to type in you
type in some other combination of keys
there's a good chance you're going to
get the wrong answer so then you hit the
enter and you should get the answer and
this is what your screen should look
like
you type that in now want you to notice
that your calculator has a different way
of writing 6.02 times 10 to the 23 they
display it on this calculator is 6.0 to
a 23 okay that's how you calculate
displays it and when you get the answer
you have this 3.0 one e 20 3 that's your
calculators way of saying 3.0 1 times 10
to the 23rd now let's look at another
calculator this is a common just a
simple casio scientific calculator costs
of a few dollars and this is just as
good as any calculator in chemistry
class at least for starting out students
for our beginning students and we're
going to work the same problem I
actually like these calculators more
because that the process is actually
simpler there are fewer keystrokes we're
going to solve the same problem you're
gonna hit the 6.02 exp there's that exp
button 23 times 0.5 and then hit the
equals button so it's very similar to
the other calculator actually it's a
little bit easier you don't have to hit
the shift about nor the second button
and when you do that you should get the
answer now I want you to notice how 6.02
times 10 to the 23rd is expressed in
your calculator if you have one of these
they basically just put the mantissa the
6.02 in the main part of the display and
then the exponent in the little window
make sure that you write it or that you
understand that that's 6.02 times 10 to
the 23rd okay and that you write the
answer is 3.0 one times 10 to the 23rd
don't write it like this don't don't do
this okay even though that's what you
see on the screen of your calculator
that's not what you want to write down
is the answer it's not the same thing
now let's take a look at
another type of calculator that's
becoming very common and this is a TI
30x s and there's some other calculators
that are very similar to this some of
the Sharps are like this and so we're
going to do the same problem 6.02 times
10 to the 23rd times 0.5 and so you're
going to key in 6.02 times 10 to the
there's the times 10 to the end button
23 and then you have to hit the right
arrow button because if you don't do
that your calculator is going to think
that you're still typing in the exponent
so you have to hit the little right
arrow and then times 0.5 enter and so
it's a little bit more complex but not
much and when you do that you should get
the same answer this is what it looks
like when you type in that problem in
your screen and so that's the same the
same answer you should get 3.0 - or 3.0
one times 10 to the 23rd now to make
sure that you understand this let's do
some problems on your own so we have the
first one here so whichever calculator
you have or calculator you have type
these numbers in so type in nine point
three times 10 to the negative fourth
plus 1.5 times 10 to the negative third
so whichever calculator you have you
should get the answer two point four
three times 10 to the negative third if
you did good job if you didn't do it
again pause the video and do it again
until you get the right answer here's
another one key this into your
calculator eight point four four so
clear it out eight point four four times
ten to the ninth divided by two times
ten
to the tenth and what's the answer your
calculator will give you hopefully the
answer 0.42 - if you did good job if not
do it again now it's possible that your
calculator may have given you the answer
in scientific notation which is four
point two two times ten to the negative
first that's okay as well both of those
are the same thing then we have the last
problem key that in point six five three
times 6.02 times 10 to the 23rd equals
and you get an answer that is
approximately and made some round do
some rounding here but the answer I get
is three point nine three times ten to
the 23rd if you got all these three
answers correctly or correctly solved
then you should be in good shape if not
keep practicing
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