Large Numbers - Comparison of Base Values

Comparison of Base Values

The following illustrates the effect of a base different from 10, base 100. It also illustrates representations of numbers, and the arithmetic.

, with base 10 the exponent is doubled.

, ditto.

, the highest exponent is very little more than doubled.

  • (thus if n is large it seems fair to say that is "approximately equal to" )
  • (compare ; thus if n is large it seems fair to say that is "approximately equal to" )
  • (compare )
  • (compare )
  • (compare ; if n is large this is "approximately" equal)

Read more about this topic:  Large Numbers

Famous quotes containing the words comparison of, comparison, base and/or values:

    But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.
    Ralph Waldo Emerson (1803–1882)

    We teach boys to be such men as we are. We do not teach them to aspire to be all they can. We do not give them a training as if we believed in their noble nature. We scarce educate their bodies. We do not train the eye and the hand. We exercise their understandings to the apprehension and comparison of some facts, to a skill in numbers, in words; we aim to make accountants, attorneys, engineers; but not to make able, earnest, great- hearted men.
    Ralph Waldo Emerson (1803–1882)

    Who is here so base that would be a bondman? If any, speak, for him have I offended. Who is here so rude that would not be a Roman? If any, speak, for him have I offended. Who is here so vile that will not love his country? If any, speak, for him have I offended.
    William Shakespeare (1564–1616)

    To be faced with what so-and-so’s mother lets him do, or what the teacher said in class today or what all the kids are wearing is to be required to reexamine some part of our belief structure. Each time we rethink our values we reaffirm them or begin to change them. Seen in this way, parenthood affords us an exceptional opportunity for growth.
    Ruth Davidson Bell (20th century)