How to multiply ANY numbers the fast way - Fast Math Trick
Summary
TLDRThe 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
- đ The video introduces a trick for multiplying two three-digit numbers quickly.
- đą It demonstrates how to multiply 213 by 323 as an example, showing each step of the process.
- đŻ The trick is not necessarily faster than a calculator but is quicker than traditional multiplication methods.
- đ The presenter encourages viewers to like, subscribe, and support patrons.
- đ The method involves breaking down the multiplication into units, tens, hundreds, and thousands parts.
- đ The video explains how to systematically work out the answer by multiplying corresponding place values.
- đ The presenter shows how to carry over numbers when the sum exceeds ten in any place value.
- đ The trick is extended to multiplying numbers of different lengths, such as a two-digit by a three-digit number.
- đ An example of multiplying 324 by 513 is given to illustrate the process with larger numbers.
- đ The video outlines a pattern for multiplying numbers of varying lengths, such as two-digit by two-digit or three-digit by three-digit.
- đ 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
𧩠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.
đ 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.
Mindmap
Keywords
đĄMultiplication
đĄThree-digit numbers
đĄCalculator
đĄTraditional method
đĄUnits
đĄTens
đĄHundreds
đĄPattern
đĄCarry
đĄTwo-digit by three-digit
đĄPatrons
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
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