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.