Question

the decimal representation​

Answer 1

Step-by-step explanation:

Decimal representation

Decimal representationExpression in the form of a series

Decimal representationExpression in the form of a seriesA decimal representation of a non-negative real number r is an expression in the form of a series, traditionally written as a sum

Decimal representationExpression in the form of a seriesA decimal representation of a non-negative real number r is an expression in the form of a series, traditionally written as a sum{\displaystyle r=\sum _{i=0}^{\infty }{\frac {a_{i}}{10^{i}}}}

Decimal representationExpression in the form of a seriesA decimal representation of a non-negative real number r is an expression in the form of a series, traditionally written as a sum{\displaystyle r=\sum _{i=0}^{\infty }{\frac {a_{i}}{10^{i}}}}where a0 is a nonnegative integer, and a1, a2, ... are integers satisfying 0 ≤ ai ≤ 9, called the digits of the decimal representation. The sequence of digits specified may be finite, in which case any further digits ai are assumed to be 0. Some authors forbid decimal representations with a trailing infinite sequence of "9"s. This restriction still allows a decimal representation for each non-negative real number, but additionally makes such a representation unique.

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