What if you could square ANY three-digit number in your head without using a calculator?
In this video, I'll teach you a clever mental maths trick that allows you to calculate the square of any 3-digit number in seconds!
Using 624² as an example, I'll demonstrate a simple step-by-step technique you can apply to other three-digit numbers.
Forget lengthy calculations and complicated methods. Learn how to make mental arithmetic faster, easier and more enjoyable.
WHAT YOU'LL LEARN: - How to square any three-digit number mentally. - A fast shortcut for calculating square numbers. - How to perform large calculations without a calculator. - Mental maths techniques for faster calculations. - How to improve mathematical speed and accuracy.
WHO SHOULD WATCH?
- US middle school and high school students. - UK KS3 and GCSE Maths students. - Canadian middle and high school students. - Anyone interested in mental maths and calculation shortcuts. - Students preparing for maths examinations.
Whether you're learning algebra, improving your mental arithmetic or simply looking for smarter ways to calculate, this technique is worth learning!
Watch until the end, practise the method and challenge yourself to square other three-digit numbers.
Subscribe to JJ Online Maths Class for more mental maths tricks, algebra tutorials, multiplication shortcuts, mathematical puzzles and easy-to-follow maths lessons.
CHALLENGE:Pick any three-digit number and try squaring it mentally. Share your time in the comments!
This video teaches mental math shortcuts for squaring three-digit numbers, specifically focusing on the \"Ignore Zero\" method for numbers with a zero in the tens place and a general multiplication-addition method for numbers without a zero.
624 square in five seconds, can you get it?
That's not really it; now I'm going to show you some shortcuts.
will help you get this done in five seconds, now I'm going
to start with something that is small
Okay, welcome back to my channel.
So first, let's start with 107. Now notice that we have zero.
in the center, so we're going to call this trick ignore zero
Now I'm going to show you what I mean by ignore 0. So first
Of all we are going to do 7 squared
which is 49, so write 49 1 squared
which is 1, so you write your 1
Now, as I said, ignore 0.
You just do 1 times 7, which is 7, right?
1 times 7 times this 2 times this 2.
And that will give you 14.
And this is our answer.
11,449
You can actually verify it using your calculator.
Now, let's use another example.
Okay?
Calm down if you don't even understand.
We have 203 squared.
Okay?
Now, 3 squared is 9.
Make sure you write your answers as two-digit numbers, okay?
So, 3 squared is 9. Now, 2 squared is 4.
Leave the center, all right?
So, you go to 2 times 3 times these two.
and that will give you six times two, which
12 .center
Your answer is forty-one thousand two hundred and nine.
You can also press your calculator to confirm.
Let's do the last one now. This one is a very large number.
We have nine hundred and nine squared.
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The good, the bad, the ugly—we're there reading.
them, so let's start with nine squared
Also, now nine squared is 81, you write your 81.
This squared, which is 9 as well, 9 squared is also 81, we write down our 81.
I want you to pay attention to this one in particular, okay?
So 9 times 9 is 81, what is 81 times 2?
So if we have 81 times 2, we have 162. Remember that you
Only two-digit numbers are allowed here.
So I'm going to write down 62 and carry over one.
So write 62 here, carry one over here, and add.
So, I'm going to have 826281
826281
You're going to do this for me, do 205 before we go.
to other numbers that do not have zero
in the center, so the first thing I'm going
to see in the comment section
from you is going to be the square
of 205 okay yes using this method ignore zero method
Now, assuming there is no zero at the center, what do we do? Let's check.
Now this time you are not going to ignore zero.
because there is no zero, so whatever we have at
The center matters now we have 214 squared, okay, it's
The same thing: four squared is 16, two digits.
So 16 will write 1 6
1 squared is 1, so we start with 4 squared, which is 16.
then we go to one squared, which is one
but we'll write it as a two-digit number, so we're going to
01 so write 01 okay now 2 squared 2 squared
is four so write it 04
Zero four, we are done now
This is what you're going to do. This is very easy.
do this two times one two times one times two remember this two
And that's four, okay.
So you're going to write this two-digit number quickly.
this and write this here 404
as two digits, don't worry, by the time we
Doing the second one, we see that it's very easy.
Yes, now we've done it twice—one time we're going
to do one times four now one times four times two
All right, you always multiply these two.
and that will give you eight, so we have
Zero eight. Now you can see that there is a space here.
and there is another space here
Just put your place value, your placeholder
Which is zero? Now we are not going to ignore zero this time.
We are going to multiply two by four, okay.
So we have two times four, which is eight.
and eight times two, which is sixteen
So we are going to write sixteen here at the center.
Replace your placeholders, place your placeholders, then you add.
It's not difficult, you're going to do the second example.
So wait, don't go anywhere yet by the time
You'll understand in the second example.
So if you add, we have six, we have nine, we have seven.
We have um five and we have four. This is zero.
so it can be skipped; therefore, 214 squared is 45,796
forty-five thousand
Now let's do the second example, as I said, we don't need it.
To run, we're good to go, okay now we
have three one two three one two squared
So we're going to start with two squared, right时段 two squared
is four remember two-digit number so write zero
four one squared one remember right, so it's going
It's going to be 0, 1, 0, 1.
Now, 3 squared.
It's nine, that is zero nine; we're done with the first step.
The second step is where you multiply.
and multiply by two, okay
so we have three times one times two, three times one times two, which is
six, so leave the first
and start from here zero six as two digits; now we have one times two
So it's going to be 1 times 2 times 2.
And that's four, that's zero four, right, zero four.
then you now do three times two times two
three times two times two three times two six six times two
Twelve, remember you're writing this
Here at the center now add your placeholders add
So bring down four, bring down four, we have three.
And nine, so our answer is ninety-seven thousand three hundred.
and forty-four if you're still here
Thank you so much, I believe.
At this point, you actually understand what we are doing now.
The last but not the least is 624.
which one is this here, okay, so 624 squared
I don't know what you're referring to. Please provide the full context or question so I can assist you accurately.
also want to see the answer in the comments using this
the method I just explained
Thank you so much for watching.
See you in my next video, bye.