when it comes to 15, it is a bit harder because of the carry you need to worry about ... using the method, you get 1 10 25 ... the carry of the 10 is 1 which you add to the first 1 to get 2 ... the carry of 25 is 2 which you add to the 0 to get 2 ... this gives you 1(1)0(2)5 which comes out as 225
there is a better way to know the square of ANY number 1)the first step z that u want 2 add/subtract a number to/from it so it would become 10 or one of it's multiples 2)whatever was the operation u did u want now to do the opposite 3)now u have to multiply the outcome of steps1&2-which z going to b easy because u have a zero n the 1st num.- 4)square the number u added &subtracted to the original num. & add it 2 step's 3 outcome 77^2 77+3=80 77-3=74 80x74=5920 3^2=9 5920+9=5929 =)
watch this sweet trick for squaring numbers, idk who came up with it but if no one did before me, then im the first! (credit to whoever did IF its been done before)
observe: to find the value of x^2 without a calculator use this method: let x be 23. as long as you know the value of a number^2 previous of x you can use this to find x^2. so - 20^2 = 400. 21^2 = 400 + 20 + 21. 21^2 = 441. 22^2 = 441 + 21 + 22. 22^2 = 484. 23^2 = 484 + 22 + 23. 23^2 = 529
@LarrySergioZaratin do similar thing say your number is {abc} "a" is the digit in the hundreds column "b" is the digit in the tens column "c" is the digit in the ones column {abc} can be written as (100a+10b+c) therefore {abc}^2=(100a+10b+c)^2 =10000a^2+100b^2+c^2+2000ab+200ac+20bc =10000(a^2)+1000(2ab)+100(2ac+b^2)+10(2bc)+1(c^2) =(a^2)||(2ab)||(2ac+b^2)||(2bc)||(c^2) || signifies the next digit column. (eg 345=3||4||5)
Yes it does. You just have to think a little more. 15 X 15 = 225. 1 X 1 = 1(in the hundreds place) 5 X 5 = 25 (in the tens and ones place) 1 X 5 X 2 = 10 (Important! in the HUNDREDS and tens place). So you have 1 + 1 in the 'hundreds'; 2 + 0 in the 'tens'; and 5 in the 'ones'. 225. It sounds complicted written out but it's really easy once you think about it.
I wonder who wrote all the praises here... not only is that technique obscure, it fails to work for numbers such as 45, 67 or 89 where you get numbers bigger than 10 as a result of the multiplication. Sorry that I'm such a tightass but there are also semi-neat math tricks around. You'll be better off learning simply by heart that (a + b) squared = a squared + b squared + 2 a b.
It does work. I'll do 45 for you. 4X4=16, 5X5=25, and 4X5X2= 40. So you have 16, 25, and 40. The trick is to know slots the numbers go into, and the video illustrates it, but expects you to examine it. The answer is 2025, see if you can figure it out. Hint, 16+4=20
The funny thing is, I needed to square 23 as well!
TheOllie171 1 month ago
i do understand it but not with 15
mathsquare 3 months ago
@mathsquare
when it comes to 15, it is a bit harder because of the carry you need to worry about ... using the method, you get 1 10 25 ... the carry of the 10 is 1 which you add to the first 1 to get 2 ... the carry of 25 is 2 which you add to the 0 to get 2 ... this gives you 1(1)0(2)5 which comes out as 225
smbotans 3 months ago
This has been flagged as spam show
sallamabd 4 months ago
crts?
smbotans 8 months ago
i dont undrstand i really need help i got the crts
futbolfanful 1 year ago
thanks.
Im revising for christmas exams and this method just makes it far easier than writing out a sum and getting mixed up.
But what if you have a three digit number?
Make more videos please!!!!!!!!!!!!!!!!!! I could really use them!
Are you a maths teacher????????????
Bye thanks
Signed: Br¦3g33N
mary047photoblue 1 year ago
This has been flagged as spam show
watch this sweet trick for squaring numbers, idk who came up with it but if no one did before me, then im the first! (credit to whoever did IF its been done before)
observe: to find the value of x^2 without a calculator use this method: let x be 23. as long as you know the value of a number^2 previous of x you can use this to find x^2. so - 20^2 = 400. 21^2 = 400 + 20 + 21. 21^2 = 441. 22^2 = 441 + 21 + 22. 22^2 = 484. 23^2 = 484 + 22 + 23. 23^2 = 529
freelancedruma 2 years ago
i don't understand you dude
paulkaranjit 2 years ago
you dont understand the accent or the method?
smbotans 2 years ago
Thank you!your methods are so simple and useful!
IamAcomplexChord08 2 years ago
ÓóÓÓÓ
O_O
This was useful thanks!
2k8Twins2k8 3 years ago
Wat about 3 digit numbers like 345???
LarrySergioZaratin 3 years ago
LachlanJG 1 year ago
This is basically a quadratic expansion! very simple!
phantaros 3 years ago
this does not work for every number.. like 15..
online2kil 4 years ago
Yes it does. You just have to think a little more. 15 X 15 = 225. 1 X 1 = 1(in the hundreds place) 5 X 5 = 25 (in the tens and ones place) 1 X 5 X 2 = 10 (Important! in the HUNDREDS and tens place). So you have 1 + 1 in the 'hundreds'; 2 + 0 in the 'tens'; and 5 in the 'ones'. 225. It sounds complicted written out but it's really easy once you think about it.
petepittsburgh 4 years ago
I wonder who wrote all the praises here... not only is that technique obscure, it fails to work for numbers such as 45, 67 or 89 where you get numbers bigger than 10 as a result of the multiplication. Sorry that I'm such a tightass but there are also semi-neat math tricks around. You'll be better off learning simply by heart that (a + b) squared = a squared + b squared + 2 a b.
sigmundur 4 years ago
It does work. I'll do 45 for you. 4X4=16, 5X5=25, and 4X5X2= 40. So you have 16, 25, and 40. The trick is to know slots the numbers go into, and the video illustrates it, but expects you to examine it. The answer is 2025, see if you can figure it out. Hint, 16+4=20
petepittsburgh 4 years ago
The principle used is just multiplying out brackets (handy though):
13^2=(10+3)^2=10^2+10*3*2+3^2=100+60+9=169.
gcmatthews 4 years ago
Thank you! This is so fun!
reganchoi 4 years ago
WHAT!!! This is so much simpler than what we are taught in public school, in the states! Thank You!
videoagent 4 years ago
This is the best way to do it!!! Better than that dood with dry erase board!!!!
Smilez78 4 years ago