How to square a number
88Squaring 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
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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 ?
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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
great info thank you
thanks so so much this is so much more help full than goggle. this saved my life my mom was buging me about this extracredit about sqareing numbers thanks again so so much
thnx alot! this would help me in our math exploration..wow..
You helped me alot.
Wow awesome but still need troulbe like wat about 2 and 3
i dont get my home work help
what about 1 is that the same as 1(00)
or not help me plz!!!!!! gl?
Well this trick is useful....
untill, you try and use it on numbers around the 50's,60's,70's and 80's because since the difference is greater you will need to multiply larger and larger numbers therefore it would be much easier to stick with numbers in the range 20 at the most from 100.
good trick anyway.
THATS FANTASTIC TRICK
I love doing math because it is so fun ok
nice... i dont know this before..
i got so dumb...
this helped a whole lot with my homework ty for the cool trick ^^ cya
bakwaas.....i didn't get any help!!!!
lolllllllllzzzzzzzzzzzz
This is awesome!!
diidnt help!!!
I like math tricks. But I think that it is better to have real math knowledge for squaring numbers. Let me show an example. I will square the number 62 several ways. look at 60 as 36 because 6 times 6 is 36. Any thing squared in the 60's will have this feature. Take the right most number (2) and add to 36. You now have 38. Next double the 2 and place it next to 38. (384) finally you square the 2, for the final answer 3844.
This is a trick for squaring numbers in the 60's. It is fast the easy to understand. 63^2 is 3966, 64^2 is 7096.
New I will show another trick for squaring 62. This is called "up and down" Look at 62 and go up 2 to 64. Go down to 6 and muliply 64 times 6. It would be helpful if you can think left to right and add 2 to 36 and drop the 4. (36 + 2 of 4)384 is the partial anwser. At the end, you square the last number and add the result. 3844 is the answer. This works on all numbers. This is more like knowledge than just a trick.
i think square numbers are like this 5 squared is 25
nice...but not much....
nice ....but not much.....
if the square of a number is 729. what is the number
Please help!
how do you square a decimal number,for example 5.38,
on a calculator? I thought we just press the "squared" button, but I noticed also that I get a different answer if I enter "shift" first, than the "squared" button on my calculator!! which way is correct????
Cool Trick!
it is easy
IT IS EASY
IT IS SO EASY. HE SIMPLEST THING IVE EVER DONE :)
i think i know how to do it :P
i think it is so very confusing, me and my friends are still trying to figure it out :P
wow. thats like awsome! imma try as soon as i get the hang of it! lolsz xD
wat im stuuuuuuupid loooollll
Hey im Jessie in 6th class and i have a chapter and have to find all the numbers between 50 to 70 , any help it would mean alot ! (:
hi Jessiee_ just try this rule
if you want to square from 50 to 74 then
first of all take the number like 69 in this case
69-50=19
write down the last two digits of square of 19 (361)61
then add this number to 25 and add carry in this case (25+19+3=47) and write it before 61 then square of 69 is 4761
pasoderholm says:
2 years 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