# The Sum Of 1/6, 2/3, And 1/4 Is

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In mathematics, a special number is called an algebraic integer. These numbers can be represented by a finite combination of integers and the operations of addition, subtraction, multiplication, and division.

Algebraic integers can be represented by the symbols ± (plus or minus), 1, 2, 3, 4, 5, 6 (1 through 6). You can add 1 to any of these numbers or subtract 1 from any of these numbers and you will get another algebraic integer.

For example: ±1 + 2 = 3; -1 + 2 = -1 + 3; 1 – 2 = -1; 1 – 2 – 3 = -1; 4 ÷ 2 = 2; 4 ÷ 3 = 1; 5 ÷ 6 = -1.

There are infinite algebraic integers, but there are some very special ones that have specific names. These special ones are called elementary algebraic integers and they are named: i (the number whose successor is 0), i² (the square of i), j (the number whose successor is 0), j² (the square of j), k (the number whose successor is 0), k² (the square of k), ldots|ldots|ldots|ldots|ldots|ldots||lldots|lldotsof order n where n is any natural number greater than or equal to one.(Dr. James A Kanzelmann).\r

The sum of any combination (n)of these special numbers nis always another one of these special numbers: i^n + j^n + k^n + ldots|lldotsof order n.

For example:

• i^0 + j^0 + k^0 + ldotsall order 0= ijk all order 0= i(0+0)= i
• i^(-1)+(j^(-1))+(k^(-1))+ ldotsof odd orders= (-i)j(-k)+(-i) all odd orders= (-i)(all odd orders)= all even orders

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