How to multiply ANY numbers the fast way - Fast Math Trick

tecmath
23 Nov 201908:15
EducationalLearning
32 Likes 10 Comments

TLDRIn this engaging TechMath channel video, the host introduces a clever trick for multiplying two three-digit numbers quickly. The method, while not faster than a calculator, is more efficient than traditional multiplication techniques. The host demonstrates the trick with an example, showing step-by-step calculations and explaining the process. The video also covers how to extend the method to multiply numbers of different lengths, such as a two-digit number by a three-digit number. The host emphasizes the importance of recognizing patterns in the multiplication process and provides a clear pattern for multiplying numbers systematically. The video concludes with an invitation for viewers to like, comment, and subscribe for more mathematical insights and tricks.

Takeaways
  • 📚 The video introduces a trick for multiplying two three-digit numbers quickly, which is faster than traditional methods but not a calculator.
  • 🎯 The trick involves breaking down the multiplication process into units, tens, hundreds, thousands, and so on, which helps in managing the calculation steps.
  • 📝 An example is given where 213 is multiplied by 323, demonstrating the step-by-step process of the trick.
  • 🔢 The method is shown to be extendable to numbers of different lengths, like four or five digits, by following the same pattern of multiplication.
  • ✅ The script emphasizes the importance of recognizing patterns in the multiplication process to speed up calculations.
  • 🤔 The presenter provides a method to handle multiplication when the numbers have different lengths, such as a two-digit number by a three-digit number.
  • 📈 The pattern for multiplying numbers of the same length (e.g., two-digit by two-digit) is explained, which involves multiplying units by units, tens by tens, and so on.
  • 📉 For different lengths, an example of multiplying 23 by 341 is given, illustrating how to adjust the trick by adding a zero to make it a three-digit by three-digit multiplication.
  • 👍 The presenter encourages viewers to like and subscribe if they find the method useful and understandable.
  • 📈 The video promises to explore more advanced multiplication techniques in future videos, including Patreon requests.
  • 📅 The presenter thanks patrons and viewers for their support and looks forward to the next video, indicating an ongoing series of educational content.
Q & A

  • What is the main topic of the video?

    -The main topic of the video is a trick for multiplying two three-digit numbers together and expanding this method to multiply any two numbers.

  • Why is this multiplication trick considered faster than traditional methods?

    -This multiplication trick is considered faster than traditional methods because it simplifies the process by breaking down the multiplication into smaller parts and following a specific pattern, even though it might not be faster than a calculator.

  • What is the first step in the multiplication trick when dealing with three-digit numbers?

    -The first step in the multiplication trick is to multiply the units digits of the two numbers to get the units part of the answer.

  • How does the video demonstrate carrying over in the multiplication process?

    -The video demonstrates carrying over by adding the products of the multiplication and carrying over the digit to the next place value when the sum exceeds nine.

  • What is the purpose of representing the numbers with dots in the explanation?

    -Representing the numbers with dots helps to visualize the place values and the parts of the numbers being multiplied, making it easier to understand the process of the trick.

  • How does the video explain the pattern for multiplying numbers with different lengths, such as a two-digit by a three-digit number?

    -The video explains that for a two-digit by a three-digit number, you treat the two-digit number as if it has a zero at the end, making it a three-digit number, and then apply the same pattern used for multiplying three-digit numbers.

  • What is the key to extending this multiplication trick to larger numbers, such as four or five digits?

    -The key to extending the multiplication trick to larger numbers is to follow the same pattern of multiplying corresponding place values and adding them together, while also carrying over as needed.

  • How does the video ensure that viewers understand not just the trick, but also the mathematical reasoning behind it?

    -The video ensures understanding by explaining the process step by step, showing how to handle each place value, and emphasizing the importance of the pattern in the multiplication process.

  • What is the final result of the example multiplication problem 324 * 513 given in the video?

    -The final result of the example multiplication problem 324 * 513 is 166,167.

  • How does the video encourage viewer interaction and support for the channel?

    -The video encourages viewer interaction by inviting viewers to grab a pen and paper to try the multiplication trick along with the presenter, and it asks for likes, comments, and subscriptions for support.

  • What is the significance of the pattern mentioned in the video for multiplying numbers?

    -The significance of the pattern is that it provides a structured and systematic approach to multiplication, making it easier to remember and apply, regardless of the number of digits in the numbers being multiplied.

  • What does the video suggest for future content?

    -The video suggests that future content will include looking into a Patreon request, indicating that the channel is open to viewer suggestions and feedback.

Outlines
00:00
📚 Introduction to a Fast Multiplication Trick

The video begins with a warm welcome to the TechMath channel, where the host introduces a quick trick for multiplying two three-digit numbers. The method, while not faster than a calculator, promises to be more efficient than traditional multiplication techniques. The host encourages viewers to grab a pen and paper to follow along and try to beat the demonstrated speed. The first example provided is the multiplication of 213 by 323, and the host walks through each step of the process, emphasizing the pattern of multiplication and addition involved. The explanation highlights the importance of understanding the pattern for multiplying numbers beyond three digits, setting the stage for further expansion of the trick.

05:01
🔢 Extending the Multiplication Trick to Different Number Sizes

The host proceeds to explain how the multiplication trick can be extended to numbers of varying sizes, including four-digit and five-digit numbers. A pattern is established for multiplying two-digit by two-digit numbers, and the host demonstrates how this can be systematically applied to three-digit numbers as well. The video then tackles the challenge of multiplying a two-digit number by a three-digit number using the trick. An example is given with the multiplication of 23 by 341, where the host shows the step-by-step process, including carrying over numbers as needed. The video concludes with an invitation for viewers to like, comment, and subscribe if they enjoyed the method. The host also teases the next video, which will address a Patreon request, and thanks the patrons before signing off.

Mindmap
Keywords
💡Multiplication
Multiplication is a mathematical operation where two numbers are multiplied together to give a product. In the video, the presenter is teaching a trick to multiply two three-digit numbers, which is a central theme of the content. For example, the script demonstrates the process with the numbers 213 and 323, showing each step of the multiplication.
💡Three-digit numbers
Three-digit numbers refer to numbers that have three digits, such as 100 to 999. The video begins by focusing on a trick for multiplying two three-digit numbers together. It is a key concept as the initial example given is 213 multiplied by 323, which sets the stage for the method being taught.
💡Calculator
A calculator is an electronic device used for performing arithmetic operations. The script mentions that the trick being taught is not faster than a calculator but is faster than traditional multiplication methods. This comparison is used to highlight the efficiency of the presented trick.
💡Traditional method
The traditional method refers to the standard way of teaching and performing multiplication, which typically involves lining up numbers and multiplying each digit in turn. The video suggests that the trick offered is a quicker alternative to this method, which is a common approach taught in schools.
💡Units
In the context of the video, 'units' refers to the multiplication of the ones place digits of the two numbers. It is part of the step-by-step process described for multiplying numbers. For instance, when multiplying 213 by 323, the units are 3 * 3, which equals 9.
💡Tens
The term 'tens' is used to describe the multiplication of the tens place digits of the numbers involved, as well as the interaction between the tens and units places. It is a part of the multiplication trick where the tens digits are multiplied and added to the partial products to form the tens place in the final answer.
💡Hundreds
'Hundreds' in the video refers to the multiplication of the hundreds place digits of the numbers. This is another step in the multiplication trick where the hundreds digits are multiplied to contribute to the hundreds place in the final product, as shown when multiplying the hundreds digits of 213 and 323.
💡Thousands
The term 'thousands' is used when discussing the multiplication of digits that will affect the thousands place in the final product. In the script, the presenter shows how to multiply numbers to find the thousands part of the answer, as part of the overall multiplication trick.
💡Carry
To 'carry' in mathematics is to add the value of one to the next higher place value when the sum in the current place value exceeds the base of the numeral system (usually 10 in decimal). In the multiplication trick, carrying is used when the sum of the digits in a place is 10 or more, as illustrated when adding the digits of the multiplication to form the final answer.
💡Pattern
A pattern in the video refers to the systematic approach or sequence of steps followed in the multiplication trick. The presenter emphasizes the importance of recognizing and following the pattern to successfully multiply numbers using the trick. The pattern involves multiplying and adding certain digits in a specific order.
💡Patrons
Patrons, in the context of the video, are the supporters of the techmath channel, likely providing financial support or encouragement. The presenter thanks the patrons, indicating their importance to the channel's community and the production of its content.
Highlights

The video introduces a trick for multiplying two three-digit numbers quickly.

The method is faster than traditional multiplication taught in schools, though not faster than a calculator.

The trick involves breaking down the multiplication into units, tens, hundreds, and thousands.

The video demonstrates the method with the example of multiplying 213 by 323.

The presenter shows how to carry over numbers in the multiplication process.

The method is easily expandable to multiply numbers of different lengths.

The video provides a step-by-step guide on how to apply the trick for different types of multiplication questions.

The presenter uses the example of 324 multiplied by 513 to illustrate the method for larger numbers.

The video explains how to handle carries when the multiplication results in a two-digit number.

The method can be applied to multiply numbers that are not of the same length, such as a two-digit by a three-digit number.

The presenter shows how to adjust the method for different digit lengths by adding zeros.

The video emphasizes the importance of recognizing patterns in the multiplication process.

The trick simplifies the multiplication of large numbers by systematically working through each place value.

The presenter encourages viewers to practice the method to improve their speed and accuracy in multiplication.

The video concludes with a reminder to like, comment, and subscribe for more content.

The presenter thanks patrons and teases the next video, which will be based on a Patreon request.

The video provides a practical application of the trick with the example of multiplying 23 by 341.

Transcripts

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