why does 1+1=2   .....   ?
546909
Definitions of the terms. The axioms for the natrual numbers are as follows:\n\n1) 0 is a natural number,\n2) The successor of a natural number is a natural number,\n3) No two numbers have the same successor\n4) 0 is not the successor of any natural number\n5) If P(x) is a property of natural numbers such that P(0) is true and such that P(n) true implies P(succ n) is true, then P(n) is true for all natural numbers (Mathematical Induction)\n\nUse S(n) to denote the successor of n and *define*\n1=S(0) and 2=S(1).\n\nNow *define* addition inductively by\nn+0=n and\nn+Sm=S(n+m).\n\nThen,\n1+1=1+S(0)\n=S(1+0)=S(1)=2.
769880
The exponent is not divided by (1 + 1) in 2*x^(1+1)/(1+1), the whole expression is. ie 2x²/2 = x². Its not to be confused with 2x^(2/2) ie 2x^1 = 2x\n\nWhen there are limits it makes no difference\n\neg ∫(from x = a to x = b) 2x dx \n= [x² + c](from x = a to x = b)\n= (b² + c) - (a² + c)\n=  b² - a² (irrespective of the value of c)
328795
1 + 1 = whatever you want to make.
191250
Mathematicians have proven that, in general, 1 + 1 = 2. It took them awhile to do it, but they succeeded. Unless the time truly comes when there is a need to ignore this generalisation, this assumption made is as good as any other axioms ever declared by the wise logicians.
114500
the way u phrased that doesnt necessarily make sense. x= 2n+1 is 3   ....something along those lines. your wording confused me...my name is my messenegr msg me there and i can try and help
965967
The twos being subscripts simply means you are using binary notation. In binary computation it is only necessary (for addition) to remember that 0 + 0 = 0,------0 + 1 = 1---------and 1 + 1= 10.\n\n                                    10011\n                                  +  1110\n                                  ________\n\n                                   100001\n\n\nIn the right column, 1 + 0 = 1\nIn the next column1 + 1 = 10. Put the zero down, carry the 1\nIn the next column1 + 1 = 10. Put the zero down, carry the 1\nIn the next column 1 + 1 = 10Put the zero down carry the one\nIn the next column 1 + 1 = 10Put down the 10
185700
It's bringing the √2 out from the brackets. \n\nMultiply 1+(3/2) by 2... what do you get? 2+(3)\nMultiply 1+(√3/2) by √2.. what do you get √2+(√3)
798197
LOL\n\nI can follow you up to n+1=2, what's 2n?\n\nn+1=2  so  n=2-1  so  n=1  so  2n=2
717165
-1 because -1*-1=1 the reciprocal of a number times the original number ALWAYS equals 1.
632912
i dont believe 2+2 =4
646877
actually, 1+1 isn't always 2, only in the collections N={0,1,2...}; Z={...,-2,-1,0,1,2...}; Q (fractions)\n\nwhen you have other collections, like Z 2, you have only two numbers 0 and 1:\n0 = every number that has rest 0 when it is devided by 2 (like 2,4,6,-2,...)\n1 = every number that has rest 1 when it is devided by 2 (like 3,5,6,-1,...)\nWhen you now do 1 + 1 you ectually add a number of collection 1 to another of collection 1, by example 5 and 15. 5 + 15 = 20 and 20 is a number of the collection 0 (20/2=10 rest 0)\nNow you can say 1 + 1 = 0
5316
If it were plus, instead of times, the answer would be 1.\nAs it is, I don't recognize it.  Perhaps my math is a bit rusty...
685311
1=1\n2=2\n3=6\n\nYou are multiplying the last number of a line with the first number of the second line and writing it beside it. Its the same thing we do in cumulative addition.\n\n1-1\n2-2*1=2\n3-2*3=6\n\nThats how you get it.
200519
+/- 1\n\nThe answer is not 1, because -1 * -1 = 1 also.
1138309
I hope you are trying to say x+2 = (2/3)(2x-1)..if it is correct then\n\n3(x+2) = 2(2x-1) --> 3x+6 = 4x - 2 --> 6+2 = 4x-3x --> 8 = x
287019
1 + 1 = 2\none plus one = oneone
647936
The answer is 1 - you're raising a quantity to a power of 0, which always results in 1. The quantity within the parentheses contains no division by zero, so I know it's a real number, too.