‘DIGITAL’ ROOTS 39 ° Why this should be so is easier to demonstrate by showing the process as in the following example. The number 54362 can be expressed as (9 x6040) +2. Here, 2 is the remainder and therefore the digital root. The number 54360 can likewise be expressed as (9 X6040) +o, whence we might assume the root to be nought. But it can also be expressed as (9 x6039) +9, giving g as a ‘remainder’ and also as the digital root. It is interesting to note that 54360 can also be expressed in other ways, as: (9 x6038) 418 (9 x6037) +27 (9 x6036) +36 In each case however the ‘remainders’ can themselves be reduced to the digital root g. The same principle can be applied to all numbers. The number 54362 can be expressed as: (9 Xx6040) +2 (9 x6039) +11 (9 x6038) 420 etc. and in each case the ‘remainders’ all reduce to the digital root 2. ‘ It will therefore be seen that any number x will have the same digital root as x plus or minus any multiple of g. If x =064 Root=1 x+9=73 ay ik *~9=355 3 =1 X-~27 =37 abi . 278 From this simple example it follows that if two numbers (or more) are added together, the root of the total bears a fixed relationship to the roots of the numbers being added. 64 Root= 1 9 Root= ¢ Add: 73 Add:=10 Reducing to: Root= 1 Since this relationship is fixed, it follows that if the digital root of the total number cannot be derived from the digital ST R R R A SR R G Bl S IS AR T AN NS TR IR A M i1 Rt i = Srkalitihinds; REBISR A NN 3 E AR O $ AN I E A