I need a way to remember all of the number from 1-25's to the second power?

Question

for algebra we have to remember 1- 25's second power such as

1/\2, 18/\2, 15,/\ ect...

but it cant be somthing in order because durning the test my teacher does it randomly

Answer 1

There are several approaches; you need to find whichever is best for you.

One is to treat it the same way as learning your "times tables" (multiplication tables) when you were at primary school (please tell me that still happens...). Write the list out in full then just try to learn it by repeatedly saying them out loud. Also, look for any patterns that might help you remember them.

Alternatively, some of them are very easy to work out on the fly, for example 10^2, 20^2. So you might want to concentrate on committing the more obscure ones to memory.

Finally, you can work any of them out in your head if necessary, so perhaps you could practise that technique instead: it might come more readily than remembering the numbers themselves. One trick is to remember that (n+1)^2 = n^2 + 2n + 1. So 21^2 = 20^2 + 42 + 1, which, for some people, might be a fairly easy piece of mental arithmetic. Similarly, (n-1)^2 = n^2 - 2n + 1, so 19^2 = 20^2 - 38 + 1.

However you do it, good luck.

Answer 2

Sometimes it's faster to calculate them than memorize them.

Remember the formulae for (x+y)^2 and (x-y)^2, and use them.

For example, 23^2 = (20+3)^2 = 20^2 + 2 * 20 * 3 + 3^2 = 400 + 40 * 3 + 9 = 400 + 120 + 9 = 400 + 129 = 529.

Really. Try this. If you use x = 20 as your starting point, the 0s fall very conveniently, making the calculations easy to do.

Answer 3

Okay if you didn't notice when you power it to the 2nd it will go up by 2 everytime. Example: 4, 9, 16, 25, 36, 49, 64, 81, 100. So 9-4=5 than you add two with the 5 which is 7+9=16. Than 16-7=9 than 9+16= 25.

Answer 4

I'd say you should probably already know the squares from one to ten. Then memorize the multiples of 5.
15 is 225
20 is 400
25 is 625.
Should be no problem.
Then I'd memorize the other numbers as best I can, and fit them in to make sense. For example, if asked for 14 squared, I'd know it is around 200 and hopefully remember that the closest square to 200 is 196.
Just write out all the squares and stare at it until you remember them all.

Answer 5

Just solve them, then memorise the answers write them all down on a piece of scratch paper then then count from there. Personally algebra is easy especially that stuff. It would be faster to just study.

Answer 6

well i would just try to memorize them. Im not the fastest at it but if you give me a second or 2 i can figure it out in my head.

Answer 7

Flashcards.

Answer 8

No quick way that I know of............. you`ll just have to learn them !