Non-terminating decimal expansion; no exact representable decimal result用中文解答

"Non-terminating decimal expansion; no exact representable decimal result" 的意思是指一个数在十进制下的小数部分是无限循环的，而且无法用有限的十进制小数精确地表示。例如，1/3（即0.3333333...）就是一个无限循环的小数，而且无法用有限的十进制小数来精确表示。

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non-terminating decimal expans；no exact reprentable decimal result

A non-terminating decimal expansion is a decimal representation of a number that goes on forever without repeating. For example, the decimal expansion of pi (π) is a non-terminating decimal expansion: 3.14159265359...

When a number has a non-terminating decimal expansion, it means that there is no exact representable decimal result for the number. This is because decimal notation only has a finite number of digits, but the number being represented may have an infinite number of digits after the decimal point.

In some cases, we can approximate the non-terminating decimal expansion of a number by rounding off after a certain number of digits. However, this approximation will never be exact, and there will always be some error in our representation of the number.

on-terminating decimal expansion; no exact representable decimal result.

An irrational number has a non-terminating decimal expansion that cannot be written as a finite or repeating decimal. This means that the decimal representation of an irrational number goes on forever without repeating any pattern. Examples of irrational numbers include √2, π, and e. Because their decimal expansions are non-terminating and non-repeating, they cannot be expressed as an exact representable decimal result. Instead, they are usually approximated using a finite number of decimal places.