How to square a number
83Squaring Numbers is Easy
My daughter use to struggle when it came to squaring numbers.
Once I explained you're only multiplying any number by itself . If you know how to Square numbers you will save time and look clever. Now my 9 year old thought this would be cool.
Ok so how do you Square numbers dad?
This what I told her.
Image we're going to tile the floor, we would use square ceramic tiles.
All we have to do is count the number of tiles on the vertical side and the horizontal side, then multiply together.
As it a square, the side will be the same, 4 Titles up, X 4 Tiles across (4 X 4 = 16) we would need 16 ceramic tiles.
If 7 Titles Up and 7 Tiles Across (7 X 7 = 49) we need 49 tiles.
Multiplication Table
If you want square numbers around 100
If you want to square numbers around 100 try this trick.
This works with any number under 100 and over 51
- All you have to do work out the difference between 100 and the number you wish to square.
- Subtract the difference from nuber to be squared
- Write this down
Now let's see how this works with 94 squared or (94 X 94)
How to Square Numbers Below 100 and Over 51
- Maths is Fun
Piratesmath.com making Maths fun Sharing the Swashbuckling Fun Secrets of Learning Maths
Let's try 97 Square
Alright one more time
Let's try one more
97²
3
94
94(00)
3 x 3 =9
9409
It's pretty easy
Go and practise these, you'll impress your friends
It you get stuck, let me know
Would you like to know how to square any number ending with 5 ?
Share it! — Rate it: up down [flag this hub]
Comments
What about numbers over 100? Do you use the same rule but 1000 as your guide? Then use the resulting difference from 1000 and use the 100 rule? Then you could add the three together!
Squaring any 2-digit numbers, is fairly easy, as follows:
1. Square each digit separately (For example, 84: 8²=64, 4²=16)
2. Append the two results, so that the second occupies 2 digits (in our case, simply 6416, but had the number been 23: 2²=4,3²=9, the result should be 409 and not 49)
3. Now multiply the two digits, and double the result, and append a zero at the end (8*4=32, doubled it's 64, and with the zero, 640).
4. Add the result of (3) to the result of (2): 6416+640=7056=84², and this is the answer.
This trick relies on the identity (a+b)²=a²+2ab+b².
cool
"titles"? err... how about "tiles".
It isn't apparent to me how it works when the difference betwen the number and 100 is over 10. For example, sq of 88=7744 but
100-88=12
88-12=76(00)
12squared=144=76,144 which isn't correct.
So I guess the critical point is that you have to take the last two digits but add the thousand column? 76+1(44)=7744
"So I guess the critical point is that you have to take the last two digits but add the thousand column? 76+1(44)=7744"
I noticed that there was a flaw with the original formula as well. And yes, after having worked it out, it would seem that you -do- have to add the first number to the hundreds column.
Wow... I feel dumb for not knowing this before. :D
I am a Maths teacher, I am impressed by this Mathematics, but please learn how tro spell!
It is cool!
Great hub. Great number works.
LOL I am such a twat - tro = to
Well Thought out
What amazing math trick
Your knowledge on how to square these numbers is amazing.
I thought I was good at maths, back to primary school
wats the ninth square numbaa.?
Not quite sure what you mean by ninth square number
well i guess you'd have to get rather good at this before you can easily find a square of a 2 digit number... until then i'd almost rather just square it by hand..
Solved my little problem this did! Thanks for the excellent hub.What about finding the cube root? I need to work out how big a shipping container is.
great info thank you
working
pasoderholm says:
9 months ago
To square any number ending with 5 goes like this:
1) Take the first part of the number excluding the 5. Example: 25 -> 2
2) Square the first part and then also add it once. Example cont.: 2 x 2 + 2 = 6
3) Combine the answer with 25 (= 5 x 5, the answer will always end with 25). Example cont.: 6 and 25 = 625. The square of 25 = 625!
Another example: What is the square of 65?
1) 65 -> 6 (removing the 5)
2) 6 x 6 = 36, 36 + 6 = 42
3) 42 combined with 25 -> 4225
The square of 65 = 4225