Scientific Notation on the Calculator

Summary

This 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

00:00

🧮 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.

05:03

🔢 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.

Keywords

💡Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used in science, engineering, and mathematics. In the video, scientific notation is the primary focus, as the instructor guides viewers on how to enter such numbers into a calculator. For example, the number 6.02 times 10 to the 23rd is mentioned, which is a large number expressed in scientific notation.

💡Calculator

A calculator is an electronic device used to perform calculations, especially complex ones. In the context of the video, a scientific calculator is essential for entering and working with numbers in scientific notation. The video instructs viewers on how to use specific keys on a calculator to input numbers in scientific notation, emphasizing the importance of having a scientific calculator for the lesson.

💡EXP Button

The EXP button on a calculator is used to input numbers in scientific notation. It stands for 'exponent' and is used to indicate the power of 10 that a number is multiplied by. In the video, the instructor demonstrates how to use the EXP button on a Casio calculator to input the exponent part of a scientific notation number, such as entering '2.5 EXP -8' for two point five times ten to the negative eight.

💡EE Button

The EE button is another term for the EXP button and is commonly found on Texas Instruments (TI) calculators. It serves the same purpose as the EXP button, allowing users to input the exponent part of a scientific notation number. The video mentions that on some calculators, one might find an EE button instead of an EXP button, and it provides instructions on how to use it.

💡Times 10 to the N

The 'times 10 to the N' button is a feature on some calculators that allows users to input scientific notation numbers directly. It is an alternative to the EXP button and is used in the same way to indicate the power of 10. The video explains that some calculators, like certain Sharp models, use this button instead of an EXP or EE button.

💡Second Function

On some calculators, certain keys have a secondary function that can be accessed by pressing the '2nd' button. In the context of the video, the instructor mentions that on a TI-84 calculator, one might need to press '2nd' and then a specific key, like 'E' or 'EXP', to access the scientific notation input options. This is an example of how calculators can have different ways to access the same functionality.

💡Mantissa

The mantissa is the non-exponential part of a number in scientific notation. It is the significant digits of the number. In the video, when the instructor demonstrates how to input 6.02 times 10 to the 23rd, the '6.02' is referred to as the mantissa, which is the part of the number that is multiplied by 10 raised to the power of 23.

💡Display Format

The display format on a calculator refers to how the calculator presents the numbers on its screen. In the video, the instructor points out that different calculators may display scientific notation numbers in slightly different ways, such as '6.0 to a 23' on a TI-84 calculator, which is a shorthand way of writing '6.0 times 10 to the 23rd'.

💡Keystrokes

Keystrokes refer to the specific sequence of button presses on a calculator to perform an operation. The video provides detailed instructions on the keystrokes needed to input numbers in scientific notation on different calculator models, emphasizing the importance of following the correct sequence to get the right answer.

💡Practice Problems

Practice problems are exercises given at the end of the video to help viewers apply what they've learned. The video concludes with several practice problems involving scientific notation, such as adding and multiplying numbers in scientific notation, to ensure that viewers can correctly use their calculators for these operations.

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