why only when usin number 2 with sumation and multiply gives the same result and when using other numbers doesn't give the same results.
2006-10-02 08:18:28 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The number two is a unique(counting or natural) number in this situation. Multiplication is a quicker way to do addition. For instance 3x3 simply means to add 3+3+3. 3x3 and 3+3 (and any other natural numbers) will not yield matching answers.
With the number 2 it just happens that 2x2 (meaning 2+2) and 2+2 are different mathmatical operations with the same results.
As pointed out by Ed M., if you include all whole numbers then adding and multiplying by 0 works the same way.
2006-10-02 08:30:30 · answer #1 · answered by Bearcat 7 · 0⤊ 0⤋
Because you are adding *two* numbers. This is the relationship between addition and multiplication. x + x = 2x.
You could make any sequence of addends (x + x + x + ...) = n * x as long as you have n terms.
So (4 + 4 + 4 + 4 = 16) = (4 * 4 = 16)
However, if you want to make x + x + x + ... = n * x equivalent to x * x * x * ... = x^n , that won't be possible. Stated another way the integer solutions to x^2 = x^x are only x = 1 and x = 2.
1 = 1
2 + 2 = 2 x 2
but
3 + 3 + 3 doesn't equal 3 x 3 x 3
4 + 4 + 4 + 4 doesn't equal 4 x 4 x 4 x 4
etc.
Another interesting property of 2 is that 2+2 = 2*2 = 2^2.
2006-10-02 08:22:16 · answer #2 · answered by Puzzling 7 · 0⤊ 0⤋
thats because when you do 4*2, you get 8 which 4 is half of. 2 is half of 4 because 2*2=4, just like 4+4=8... so 2+2=4 like 2*2=4. when you multiply something by 2, you get the whole of the first number you multiplied by 2. like this, 4*2=8...
2006-10-02 08:24:50 · answer #3 · answered by chaching 2 · 0⤊ 0⤋
it's just a quality of the number two.
look at it this way: two 2's are 4. both 2*2 and 2+2 can represent that.
other numbers, if you look at them in the same way, are the same.
for example: three 3's are 9. (3*3=9), (3+3+3=9).
or, even: two 1's are 2. (2*1=2), (1+1=2)
2006-10-02 08:23:38 · answer #4 · answered by Moxie1313 5 · 0⤊ 0⤋
a^2 = b, a+a=2a=b
a^2 = 2a
a^2 - 2a = 0
a(a-2) = 0
a = 0 or a = 2
2006-10-02 08:57:18 · answer #5 · answered by buaya123 3 · 0⤊ 0⤋
2 is not unique.
0+0=0, 0*0=0
2006-10-02 08:47:19 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Simple: that's math
2006-10-02 08:19:26 · answer #7 · answered by snaggle_smurf 5 · 0⤊ 0⤋