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

Summary

The TechMath channel's video offers an innovative trick for multiplying two three-digit numbers swiftly. The presenter illustrates the method using 213 multiplied by 323, breaking down the process into units, tens, hundreds, and thousands, and explaining the carry-over technique. The method is extended to handle multiplication of numbers of varying lengths, such as two-digit by three-digit numbers, by adjusting the pattern accordingly. The video emphasizes the simplicity and efficiency of this multiplication technique over traditional methods, inviting viewers to practice and compare speeds. The presenter also hints at future videos covering more complex multiplication scenarios and Patreon requests.

Takeaways

• 📚 The video introduces a trick for multiplying two three-digit numbers quickly.
• 🔢 It demonstrates how to multiply 213 by 323 as an example, showing each step of the process.
• 🎯 The trick is not necessarily faster than a calculator but is quicker than traditional multiplication methods.
• 👍 The presenter encourages viewers to like, subscribe, and support patrons.
• 📝 The method involves breaking down the multiplication into units, tens, hundreds, and thousands parts.
• 📈 The video explains how to systematically work out the answer by multiplying corresponding place values.
• 📉 The presenter shows how to carry over numbers when the sum exceeds ten in any place value.
• 📚 The trick is extended to multiplying numbers of different lengths, such as a two-digit by a three-digit number.
• 📝 An example of multiplying 324 by 513 is given to illustrate the process with larger numbers.
• 🔑 The video outlines a pattern for multiplying numbers of varying lengths, such as two-digit by two-digit or three-digit by three-digit.
• 👏 The presenter invites viewers to try the method themselves and provides encouragement and thanks to patrons.

Q & A

What is the main topic of the TechMath channel 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 efficiently.

Is the method taught in the video faster than using a calculator?

The method is not faster than a calculator, but it is claimed to be much faster than the traditional multiplication method that one might have been taught.

What is the first multiplication example given in the video?

The first example given is multiplying 213 by 323.

How does the video explain the multiplication of the units place in the example 213 multiplied by 323?

The video explains that you multiply the units digit of both numbers (3 * 3) to get 9, which is the units place in the answer.

What is the final answer for the multiplication of 213 by 323 as shown in the video?

The final answer for the multiplication is 687,199.

Can the method demonstrated in the video be applied to numbers with more than three digits?

Yes, the method can be extended to multiply numbers with more than three digits, such as four-digit by four-digit or five-digit numbers.

What is the second multiplication example given in the video?

The second example given is multiplying 324 by 513.

How does the video handle the multiplication of a two-digit number by a three-digit number?

The video suggests adding a zero to the end of the two-digit number, effectively converting it into a three-digit number, and then applying the same method used for three-digit multiplication.

What is the final answer for the multiplication of 324 by 513 as shown in the video?

The final answer for the multiplication is 166,167.

What is the purpose of the pattern shown in the video for multiplying numbers?

The pattern shown in the video is meant to help systematically work out the multiplication of numbers by breaking it down into units, tens, hundreds, and so on, making it easier to manage and understand.

How does the video conclude the explanation of the multiplication trick?

The video concludes by summarizing the trick, encouraging viewers to like and comment if they found it useful, and mentioning that the next video will be based on a Patreon request.

Outlines

00:00

🧩 Introduction to the Multiplication Trick

The video begins with an introduction to a multiplication trick for quickly multiplying two three-digit numbers. The presenter acknowledges that while this method may not be faster than a calculator, it is significantly quicker than traditional multiplication techniques. The presenter invites viewers to participate by grabbing a pen and paper to try to beat the presenter's time. The first example given is the multiplication of 213 by 323, and the presenter demonstrates the step-by-step process of the trick, emphasizing the importance of patterns and the simplicity of calculations involved. The method involves breaking down the multiplication into units, tens, hundreds, and thousands, and adding the results accordingly. The presenter also hints at expanding this method to handle multiplication of numbers with more than three digits.

05:01

📚 Expanding the Multiplication Technique

In this paragraph, the presenter expands on the multiplication trick by showing how it can be applied to numbers of different lengths, such as two-digit by three-digit numbers. The presenter outlines a systematic pattern for multiplying numbers, starting with the units and moving up to the tens, hundreds, and thousands, by multiplying the relevant place values. An example is given where the presenter multiplies 23 by 341, demonstrating the trick of adding a zero to make it a three-digit by three-digit multiplication, which simplifies the process. The presenter also discusses the possibility of extending this method to larger numbers, such as four-digit or five-digit numbers, and assures viewers that the method remains consistent and manageable. The video concludes with an invitation for viewers to like, comment, and subscribe if they found the trick useful, and a note of thanks to the patrons, with a teaser for the next video which will be based on a Patreon request.

Keywords

💡Multiplication

Multiplication is a fundamental arithmetic operation that involves combining groups of equal quantities. In the context of the video, it is the core process being discussed and demonstrated. The video aims to teach viewers a trick for multiplying two three-digit numbers together more efficiently than traditional methods. For example, the script mentions multiplying 213 by 323, showcasing the trick in action.

💡Three-digit numbers

A three-digit number is a number that has three places: the hundreds, tens, and ones. In the video, the presenter begins by teaching a multiplication trick specifically for two three-digit numbers, such as 213 and 323. This forms the basis of the trick, which is then expanded to include numbers of other lengths.

💡Calculator

A calculator is an electronic device used to perform arithmetic operations. The script acknowledges that while the multiplication trick may not be faster than using a calculator, it is intended to be a quicker method compared to traditional multiplication taught in schools. This sets the expectation for the utility of the trick being taught.

💡Traditional method

The traditional method refers to the standard way of teaching and performing arithmetic operations, such as multiplication. The video suggests that the trick it presents is a faster alternative to the way viewers may have been taught to multiply in the past. It implies a comparison to enhance the appeal of the new method.

💡Units

In multiplication, 'units' refers to the ones place in a number. The video script explains that the trick involves multiplying the units of the two numbers to get the units part of the answer. For instance, when multiplying 213 by 323, the units (3 * 3) result in 9, which is the units digit of the final product.

💡Tens

The 'tens' in multiplication pertains to the tens place in a number. The video describes a step in the trick where the tens place of one number is multiplied by the units of the other, and vice versa, to determine the tens part of the product. This is part of the systematic approach to the multiplication trick.

💡Hundreds

The 'hundreds' term is related to the hundreds place in a number. In the multiplication trick, the script details how to multiply the numbers in the hundreds place to contribute to the hundreds and thousands parts of the final answer. This is a key component of the method for calculating larger portions of the product.

💡Pattern

A pattern in this context refers to the systematic approach or sequence of steps followed in the multiplication trick. The video emphasizes the importance of recognizing and following the pattern to successfully multiply numbers using the trick. The pattern involves multiplying and adding certain parts of the numbers in a specific order.

💡Carry

To 'carry' in arithmetic means to add the value of an overflow from one column to the next in addition or multiplication. The script describes carrying over numbers when the sum of a multiplication step exceeds ten, such as when adding 6 + 4 + 1 to get 11, where 1 is carried over.

💡Two-digit by three-digit

This phrase refers to the multiplication of a two-digit number by a three-digit number. The video script provides an example of how to adapt the trick to multiply numbers of different lengths, such as 23 multiplied by 341. This expands the applicability of the trick beyond just three-digit numbers.

💡Patrons

Patrons in the context of the video are supporters of the TechMath channel, likely providing financial support on platforms like Patreon. The script includes a 'shout out' to these patrons, acknowledging their contribution and support for the channel's content.

Highlights

Introduction to a trick for multiplying two three-digit numbers.

The method is faster than traditional multiplication techniques.

Demonstration of multiplying 213 by 323 using the trick.

Explanation of the multiplication process step by step.

The importance of carrying over numbers in multiplication.

Expansion of the method to multiply any two numbers.

Multiplication of units to get the units part of the answer.

Combining the multiplication of tens and units for the tens part.

How to calculate the hundreds part of the multiplication.

The pattern of multiplication for different place values.

An example of multiplying 324 by 513 to illustrate the method.

The process of carrying over in more complex multiplication.

Extending the method to larger numbers like 4x4 or 5x5.

Adapting the method for multiplication involving different digit lengths.

A step-by-step guide for multiplying a two-digit by a three-digit number.

Final multiplication example using the numbers 23 and 341.

Conclusion and invitation to like, comment, and subscribe for more content.

Transcripts

good day welcome to techmath channel

what we're going to be having a look at

in today's video is a great little trick

for multiplying two three-digit numbers

together but that's not all I'm going to

expand this out and show you how to

multiply any two numbers together okay

it's a great little trick um this one's

not going to be faster than the

calculator I'm sorry but it's still much

much faster than probably the

traditional method that you have been

taught anyway if you like this video

please remember hit the like button and

subscribe and a big shout out to my

patrons always thank you all always

thank you always thank you so anyway

without much further Ado Let's uh launch

into a question here why don't you grab

a pen and paper and see if you can uh go

faster than me okay so let's have a look

at this first example

213 multiplied by

323 go all right so we have 3 * 3 is 9

we have 3 + 6 is 9 we have 6 + 2 + 9 is

17 we're going to put the seven there

carry the one we have 4 + 3 is 7 plus

that one there is an 8 and 3 * 2 is 6

did you get the answer of

68,7 199 and more importantly did you do

it faster than me well I'll tell you

what I'm going to show you how to do

this particular question okay um and I

look this is really really easy then to

actually expand out further and what's

more is we don't have a huge amount of

working out there okay so let's have a

look at how I work this out this

particular

method okay so first off what I did is

you're going to see here we got six

numbers is okay I'm just going to

represent them here six dots okay and

I'll show you what we're multiplying as

we go along the first ones we're

multiplying is to get our units we have

a units here and a units here we're

multiplying these two numbers and that

gives us our units answer so 3 * 3 is 9

for the next part of our answer for the

T part well we have a Tens times a units

and a units times a t these are the ways

we can get tens so we have 1 * 3 which

is 3 and 3 * 2 which is 6 and we're

going to add those together so three + 6

is 9 and that gives us our 10 part of

our answer for our hundreds part of our

answer we're going to be multiplying

these numbers this one by this one this

one by this one this one by this one

this is hundreds time units which gives

us hundreds 10 * 10 which also gives us

100 answer and units time hundreds which

also gives us 100s answers and we're

going to add our answers together so 2 *

3 is 6 okay I'll write that down there 1

* 2 is 2 and 3 * 3 is 9 and we're going

to add these together 6 + 2 is 8 + 9 is

17 we're going to put the seven here and

we're going to carry this one across

like you would with regular

multiplication all right for the

thousands parts of our answer well

you're going to see here that we're

going to be multiplying these ones okay

we have hundreds time 10 and 10 * 100s

both of these giving us thousands

answers so 2 * 2 is 4 and 1 * 3 is 3

plus is 1 here so 4 + 3 3 is 7 + 1 is 8

and you guessed that for the last part

of our answer for the tens of thousands

we're going to be multiplying the

hundreds by the hundreds okay so 2 * 3

is 6 and there's our answer

6879 and you'll probably notice that

pattern there the patterns a really

really important one to get okay you're

going to see first off we multiplied

these then we multiplied these ones and

added them together we multiplied these

ones and added them together these ones

and add together and then these ones so

what about I'll give you an example for

you to try and then what we'll do is

we'll go through and have a look how to

do these for different types of

questions that aren't three-digit

numbers okay and if you like this method

by the way please remember like And

subscribe so what about we have a look

at another question okay what about we

look at

324 * 513 what about you give this a go

so the first ones you're going to be

multiplying are these two are the units

okay 4 * 3 is 12 so you're going to put

the two down and carry the one the next

ones we're going to multiply is 2 by the

3 and the 4 by the 1 so 2 * 3 is 6 4 * 1

is 4 6 + 4 plus this 1 here 6 + 4 is 10

plus this 1 is 11 so we're going to put

that one here and carry the one over the

next ones we're going to be multiplying

is the 3x 3 the 2 * 1 and the 4 * 5 okay

3 * 3 is 9 2 * 1 is 2 4 * 5 is 20 we're

going to add these all together so 9 + 2

is 11 + 20 is 31 plus this one down here

is 32 so let's put the r two down here

and carry the three for the thousands

parts of our answer we have 2 * 5 which

is 10 and we have 3 * 1 which is 3 easy

10 + 3 is 13 plus this three here is

going to give us 16 so we're going to

put the six here and carry that one

finally we have 3 * 5 which is 15 plus

this one here which is 16 so we put that

whole thing down we have

166,167

number and you'll see how you could

extend this out for a 4x4 number number

of 5 by five that sort of thing and then

I'm going to show you how you can

multiply things where it's not the same

so it's like a twod digigit number by a

three-digit number or something like

that and how you might then go about

doing those and it's not a huge

difference so first off let me just put

up the pattern that you would use okay

so say we have a two-digit by a

two-digit number to get the units what

we're doing is we're multiplying the two

units numbers then to get the 10 numbers

we're multiplying the units by the tens

and the tens by the units then to get

the hundreds number number we're going

the tens by the tens number and that's

how we'd go about systematically working

out our answer for the three-digit

number to get our units we start over

here we'd go the units by the units to

get the tens we'd go a TENS by the units

and the units by the tens to get the

hundreds some we' go hundreds by the

units tens by the tens units by the

hundreds to get the thousands we'd go

tens by the hundreds and hundreds by the

tens and to get the tens of thousands

we'd multiply the hundreds by the

hundreds and you can see the pattern

here and you can see how you can extend

this out to a four-digit or a five-digit

sets things like this okay so what about

if we have a two-digit by a three-digit

number and I'll show you with an example

okay so say we multiply uh

23

*

341 how would I go about doing this all

right little trick and as soon as I do

this one little thing you go ah okay and

I'll show you what it is I'll put a zero

here all right we just got a three

digigit by 3digit number now okay 1 * 3

or 3 * 1 is 3 we have 2 * 1 which is 2

and we have 3 * 4 which is 12 2 + 12 is

14 so put the four down carry that

little one we have 0 * 1 nothing okay

zero uh 2 4 is are 8 3 * 3 is 9 so 8 + 9

is 17 plus that one there is 18 so put

the eight there carry the one 0 * 4 is 0

2 * 3 is 6 + 1 is 7 and 0 * 3 well

that's Z so our answer is

7,843 anyway that's all there is for

this trick it's a really simple little

uh way of multiplying it's a lot faster

than the way you've been taught too uh

did you like it if so please like and

comment I did try to go through by the

way and actually explain what was

happening at the same time I just

thought I rather than showing you a

trick and saying this is it you know we

actually are taking care of all the tens

and the units and that of deal that you

do with other multiplication it's just a

more expedient way of doing it uh once

again thanks to my patrons uh the next

video we actually going to be having a

look out of patreon request so I'm

looking forward to that uh anyway thank

you for watching we'll see you next time

bye