3 Sentences With "base 10 number"

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If the digits were distributed uniformly, they would each occur about 11.1% of the time. Benford's law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on. The graph to the right shows Benford's law for base 10, one of infinitely many cases of a generalized law regarding numbers expressed in arbitrary (integer) bases, which rules out the possibility that the phenomenon might be an artifact of the base 10 number system.
Roman numerals are essentially a decimal or "base 10" number system, but instead of place value notation (in which 'place-keeping' zeros enable a digit to represent different powers of ten) it uses a set of symbols with fixed values. Combinations of these fixed symbols correspond to the digits of Arabic numerals. This structure allows for significant flexibility in notation, and many variant forms are attested. In fact, there has never been an officially "binding", or universally accepted standard for Roman numerals.
An undulating number is a number that has the digit form ABABAB... when in the base 10 number system. It is sometimes restricted to non-trivial undulating numbers which are required to have at least 3 digits and A ≠ B. The first few such numbers are: :101, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 454, 464, 474, 484, 494, ... For the full sequence of undulating numbers, see . Some higher undulating numbers are: 6363, 80808, 1717171. For any n ≥ 3, there are 9 × 9 = 81 non-trivial n-digit undulating numbers, since the first digit can have 9 values (it cannot be 0), and the second digit can have 9 values when it must be different from the first.