So far after observing the math I've been learning for the past 10 years of my school career it seems to me like everything can be simplified into addition. Ill show by example; Addition: obviously Subtraction: Addition of negative numbers Multiplication: Repeated Addition Division: 1/Multiplication Exponents: Repeated Multiplication which in turn is repeated addition Nth roots: Any root can be found using the equation; (X_g+(a/(x_g)^n-1)/2=x_g2 Where x_g is an initial guess n is the root you are looking for A is the number you are rooting and x_g2 is substituted back into the formula until x_gt (t being in place of some integer) equals u [where u =a/(x_g1)^n-1] So now Nthrt(a)=(X_gt+u)/2 when u=x_gt So now by my definitions above; Although tedious; any real root can be found by addition! Now since e^x= lim n-->ifiniti (1+x/n)^n so ln(x)=lim n-->ifiniti n(x^(1/n)+1) So using above definitions and the change of base rule, the log of any real base to any real number can be found by addition as well! The trigonometric functions can be expanded into a taylor series and found by adding as well. Is there a function that cannot be broken down into addition?! Thanks!