What if you could square ANY two-digit number in seconds without using a calculator?
In this video, I'll show you a clever mental math trick that makes squaring two-digit numbers much faster and easier than traditional methods.
Whether you're a student, teacher, parent or simply someone who loves mathematics, this technique can help you improve your mental calculation skills and become more confident with numbers.
What you'll learn: - How to square any two-digit number quickly. - A simple mental math technique for calculating squares. - How to solve square-number problems without a calculator. - A faster approach to mathematical calculations.
Try the technique yourself and see how quickly you can calculate!
CHALLENGE: Can you calculate 98² in your head before watching the demonstration?
Drop your answer in the comments!
If you enjoy mental math tricks, maths shortcuts, number puzzles and practical mathematics lessons, subscribe for more.
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One, two, three. Not yet.
But I'm going to show you two methods that you
are going to use to find the value of this.
Welcome back to my channel.
Now, 98 squared, we are going to start with something smaller.
But this is the first method. The first method.
Alright.
First, let's start with something smaller.
21 sq.
21 Square, the first thing you need
What you do is draw three lines, one, two, and three, then one squared.
Is one right here two squared?
Four is right here now, two.
one times two equals
four right here now check your calculator what
Is 21 squared definitely 441, right?
Wait, we're going higher, right?
We are still going to get to this one.
Now, what if one of these numbers has
A two-digit number whose square is?
For example, 32 squared, okay?
Draw your three lines as well.
Now, 3 squared is 9.
Sorry, 2 squared is 4.
You write your 4.
3 squared is 9.
Write your 9.
Now, 3 times 2 is 6.
six times two, that is, three times two times two
But wait, there is a second method that is faster.
than this method, so I would like you to watch to the end
because I will still show you a second
a method that is faster than this method
and it works for all squares, okay, all two-digit numbers
squares
Now.
three times two is six and six times two
It's twelve now. What do we do? We're going to write two here.
Bring one over to this side.
So we are going to add this one to nine; we are going to have ten two.
and four, and this is the answer you are permitted
To use your calculator, please press your calculator.
This is the answer.
Now, can we go from there?
Let's move forward a bit.
Okay, let's look for a larger number now. You have 43.
because some of you came to this one you did
Why didn't you use the large number?
Your large number doesn't work for all of them.
Ta-ra, ta-ra, ta-ra.
as long as this is a two-digit number
This method will work right now: 43 squared. Let's draw our three.
We have three squared as what nine, right?
Or nine, we have four squared at 16. Write your 16.
Ok, now 4 times 3 times 2, 4 times 3 times
2, and this is what 4 times 3 is: 12.
12 times 2 is 24, so we write 24.
As usual, we are going to write 4 here
And bring this to this place and add.
Now when we add, we are going to have
18, 4, and 9, which is 1849
And that's actually 43 squared.
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that means you are enjoying this video, and if this is
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Tune in at your convenience—there must be something new.
For you to watch now, drop your comment and tell
Tell me if you have other faster ways of doing it
I would like to learn that too, okay. Thank you.
Thank you very much.
Now, we have a larger number,
67 squared, 67 squared.
So, here you need to be careful.
We have three digits, three lines, sorry.
Now, 7 squared is 49, because you end up with a two-digit number.
You are not writing both of them.
As I said, I have another method that is faster and easier.
So, watch to the end to see that method.
So, we have 49.
We are going to write down 9 and carry 4.
OK, now 6 squared is 36. 6
squared is 36, so you write 36
All right, now 6 times 7 times 2.
6 times 7 is what, 42, right? 42 times
2 is 84, so 84, remember you have
a carry of 4
And that's eight eight; you have another two digits you
are not allowed to write any two
digits except at the end, so you are going to write it
and carry the tens and add them to this place
Okay, and now 36 plus 8 is 44.
So we have 4489, and that is the answer.
I believe you're enjoying this video.
So now, let's solve the one I gave you in the first place.
And I think I'll leave that one to you. Can you try that out?
98 squared. Now let's use the second.
and the fastest method, so if you've watched this far
You'll be glad you did
because this second method is much easier than the first one
That's what I personally use now, the second method.
and the faster or fastest method
Okay, we are going to start with the smallest number.
to the largest as well now the smallest
The number is 21 squared. Now pay attention, I want you
to pay maximum attention
All right, one squared is one.
In this second method, do not write any number.
Your number must be two digits, not one digit.
so even when you get a product as a one-time purchase
Write it as a two-digit number
by adding a zero at the end of it, this is what I mean
one squared is one, I won't write one, I won't
zero one two squared is equal to four
And I can write this as 04 as a two-digit number, right?
so I'll write zero four
Now we have 2 times 1 times this 2,
And that is 4 again.
Remember, we must write it as a two-digit number: 04.
Now, in this method, always leave this first part, okay?
Leave this first part, then come from here and write your 0, 4.
Skip this place; you don't need it, okay?
Now add 1, 4, and 4, and that's your answer.
Let's do a bigger number, okay? Let's go.
for a larger number, so now let's assume you have 32
squared, now we have two squared, this one is equal
to zero four remember you must write this as a two
the digit three squared is equal to
zero nine, so write zero nine
now three times two times this two
Is equal to twelve
All right, now this is a two-digit number; just write it down, remember.
to leave this space
then from here you write your two then you
add four two nine plus one zero and that's it
You can see that this is much easier.
and faster than the first method, I know some of you are like
JJ check the last one, check the bigger number
That's exactly what I want to do right now.
Now let's look for a bigger number, let's say 96. Remember this is
Your own classwork, tell me the answer.
In the comments, alright, you can use the first one.
Method or the second one for me, I prefer the second method.
so let's say 96 squared is still
The same thing, okay, so we say 6 times 6 is 36.
Because it's a two-digit number, I'll write it.
Like that, 9 squared, 9 times 9, is 81.
It's a two-digit number. I'll write it like that.
Now, please, I forget whether you want me to teach.
How to square a three-digit number
The number of likes I get on this video will tell me
If you're interested in it, just comment below.
two if you want me to show you how
to square a three-digit number very, very fast, okay, just drop
Part two in the comments and I'll definitely make
A video for that, all right. So now we have 8136.
Is this remaining this and this right nine times
six times two now nine times six is the same thing as
Sixty minus six, which is fifty-four, right?
So we have fifty-four times two, two times four, eight.
Two times two is four, so we have one hundred and eight.
So you add that we have six eleven, carry one two.
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Thank you so much for watching, and see you in my next video. Bye.