How to solve Factorials on the BA II Plus Financial Calculator

Summary

In this 'HD Calcs' video, Rick demonstrates how to calculate factorials using the Texas Instruments BA II Plus calculator. He explains that factorials represent the product of a number and all integers below it. Rick illustrates this by calculating 3! and 5!, showing the process of entering the number, using the factorial function, and obtaining the result. He also notes the calculator's limitation, as it can only handle factorials up to 69 due to the size of the resulting numbers, with an example of an error when attempting to calculate 100!.

Takeaways

• 📚 The video is about finding and using factorials on a Texas Instruments BA II Plus calculator.
• 🔑 The second function key and the multiplication key with the factorial symbol are used to calculate factorials.
• 🔢 A factorial is defined as the product of a number and all integers below it.
• 🌰 An example given is 3 factorial, which equals 6, calculated as 3 times 2 times 1.
• 🔧 The calculator can be used to find factorials by entering the number, using the second function key, and then the multiplication key with the factorial symbol.
• 📈 The video demonstrates calculating 3 factorial and 5 factorial using the calculator, resulting in 6 and 120, respectively.
• 🚫 The calculator has limitations and will show an error for large numbers like 100 factorial, as the result is too large to handle.
• 🔝 The largest factorial the calculator can calculate is 69 factorial, as shown in the video.
• 🚨 An error message is displayed when attempting to calculate 70 factorial, indicating the calculator's upper limit.
• 👨‍🏫 The presenter is Rick, who guides the viewers through the process of using the calculator for factorial calculations.
• 📝 The video concludes with a note of encouragement for viewers preparing for tests.

Q & A

What is the topic of the video?

The video is about finding and using factorials on the Texas Instruments BA II Plus calculator.

Who is the presenter of the video?

The presenter of the video is Rick.

What is a factorial in mathematics?

A factorial is the product of a number and all the integers below it, denoted by the symbol '!'.

How do you calculate 3 factorial using the BA II Plus calculator?

To calculate 3 factorial, you enter the number 3, press the second function key, and then press the multiplication key with the second function of factorial.

What is the result of 3 factorial?

The result of 3 factorial is 6.

What is the largest factorial that the BA II Plus calculator can handle?

The largest factorial the calculator can handle is 69 factorial.

What happens if you try to calculate a factorial of a number larger than what the calculator can handle?

If you try to calculate a factorial of a number larger than what the calculator can handle, such as 100 factorial, you will see an error message.

What is the second function key on the BA II Plus calculator used for in this context?

In this context, the second function key is used to access the factorial function on the calculator.

What is the symbol for the multiplication key with the second function of factorial on the BA II Plus calculator?

The script does not provide a specific symbol for the multiplication key with the second function of factorial, but it is implied to be a key that, when used with the second function, calculates factorials.

What is the purpose of using the factorial function on a calculator?

The factorial function on a calculator is used to quickly calculate the product of a number and all the integers below it, which can be time-consuming to do manually.

What is the error message you get when trying to calculate a factorial that is too large for the calculator?

The script does not specify the exact error message, but it indicates that an error will occur when attempting to calculate a factorial that exceeds the calculator's capacity.

Outlines

00:00

📚 Introduction to Factorials on TI-BA II Plus Calculator

In the introductory paragraph, Rick welcomes viewers to 'HD Calcs' and sets the stage for a tutorial on using factorials with the Texas Instruments BA II Plus calculator. He explains the factorial concept as the product of a number and all integers below it, using the example of '3 factorial' which equals 6. Rick also introduces the calculator's keys needed for the demonstration: the second function key and the multiplication key with the factorial function.

🔢 Demonstrating Factorial Calculations

This paragraph illustrates the step-by-step process of calculating factorials on the TI-BA II Plus calculator. Rick demonstrates how to calculate '3 factorial' and '5 factorial' by entering the numbers, using the second function key, and the multiplication key with the factorial function, resulting in 6 and 120, respectively. The paragraph emphasizes the calculator's ease of use for factorial calculations.

🚫 Limitations of Factorial Calculations on Calculator

The final paragraph addresses the limitations of the calculator when dealing with large numbers. Rick shows an example of attempting to calculate '100 factorial', which results in an error due to the number being too large for the calculator to handle. He clarifies that the calculator can calculate factorials up to '69 factorial' without issues, but attempting '70 factorial' results in an error, indicating the upper limit of the calculator's factorial function capability.

Keywords

💡Factorials

Factorials are a mathematical operation where you multiply a number by all the integers below it. In the video, factorials are central to demonstrating the calculator's capability to compute these values. For example, '3 factorial' is calculated as 3 x 2 x 1, which equals 6.

💡TI-BA II Plus Calculator

The TI-BA II Plus is a financial calculator used widely for business and finance calculations. In the script, it is the device used to demonstrate how to calculate factorials, highlighting its functions and limitations.

💡Second Function Key

This is a key on the calculator that provides access to additional functions. In the context of the video, the second function key is used to access the factorial operation, as shown when the presenter calculates '3 factorial'.

💡Multiplication Key

The multiplication key on the calculator is used for the basic arithmetic operation of multiplication. In the video, it is combined with the second function key to perform factorial calculations, such as finding '5 factorial'.

💡Error Message

An error message is a signal that something has gone wrong in a calculation or operation. In the video, an error message appears when attempting to calculate '100 factorial', indicating the calculator's limit in handling large numbers.

💡Large Numbers

Large numbers in the context of the video refer to values that are too big for the calculator to process accurately. The script mentions that the calculator cannot handle '100 factorial' due to the resulting number's enormity.

💡Calculator's Limitations

The calculator's limitations are its constraints in processing or displaying results. The video points out that the TI-BA II Plus can calculate factorials up to '69 factorial' but not beyond, due to the size of the resulting numbers.

💡Result

In mathematics and in the context of the video, a result is the outcome of a calculation. The script shows the calculator providing results for factorials, such as '3 factorial' resulting in 6.

💡Rick

Rick is the presenter in the video who guides the viewers through the process of using the calculator to find factorials. His role is central to the instructional theme of the video.

💡HD Calcs

HD Calcs appears to be the name of the video series or channel, which focuses on calculator instructions and mathematical concepts. The video script provided is part of this series, specifically about factorials.

💡Tests

Tests in the script refer to the exams or assessments where the calculator might be used. The video aims to help viewers prepare for such tests by understanding how to use the calculator for factorial calculations.

Highlights

Introduction to the video on how to use factorials with a Texas Instruments BA II Plus calculator.

Explanation of the second function key and its role in calculating factorials.

Identification of the multiplication key with the second function of factorial.

Definition of factorial as the product of a number and all integers below it.

Demonstration of calculating 3 factorial using the calculator.

Result of 3 factorial is 6, both manually and using the calculator.

Process of calculating 5 factorial using the factorial function on the calculator.

Result of 5 factorial is 120, showcasing the calculator's functionality.

Limitation of the calculator when calculating large factorials like 100.

Error message displayed when the calculator cannot handle a large factorial.

Maximum factorial the calculator can handle is 69 factorial.

Successful calculation of 69 factorial as a demonstration of the calculator's limit.

Error encountered when attempting to calculate 70 factorial.

Conclusion of the video with a helpful tip for viewers preparing for tests.

Emphasis on the practical applications of the calculator in academic settings.

Encouragement for viewers to make good use of the information provided.

Transcripts

[Music]

hello and welcome to hd calcs

i'm rick and in this video we have a

look at

where to find and how to use factorials

on the texas instruments

ba 2 plus calculator

to do this we'll use the second function

key that looks like this

located here as well as the

multiplication key with the second

function of factorial

that looks like this located here

we know that a factorial is the product

of a number

and all integers below it multiplied

together

so if we wanted to find three factorial

we could just multiply

three times two times one and we know

that gives us

six but we can also use the factorial

function

so to do that we start by entering the

number so 3

and then the second function key and

then the multiplication key here

and we immediately get the result of 3

factorial which is

6.

another example five factorial

place the five on the screen then second

function

multiplication with the second function

of factorial

gives us 120.

if you try to find the factorial of a

large number like let's say

100 factorial

you'll see an error like this

this is because the resulting number is

just too large for this calculator to

handle

the largest number this calculator can

give you a factorial for is actually

69 factorial

see we get a result there while if we

try 70

we get that error

all right i hope this helps and good

luck on those tests out there everybody