In the decimal expansion of , the digit repeats indefinitely.
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One ninth written as a decimal is 0.1111, with the 1 repeating indefinitely. This is because when you divide 1 by 9, the result is a recurring decimal where the digit 1 repeats infinitely.
A never-ending division problem is called a "repeating decimal" or a "recurring decimal." This occurs when the division does not result in a whole number or a terminating decimal, but instead the decimal digits repeat in a pattern indefinitely. For example, 1 divided by 3 results in the repeating decimal 0.3333..., where the digit 3 repeats infinitely.
When you convert a fraction to a decimal sometimes the decimal repeats forever. For example 1/3 as a decimal = 0.333333333.... (or 0.3 "recurring"). Another example is 1/7=0.142857142857.... (or 0.142857 recurring).
The bar notation of 0.7777 is written as 0.7 with a bar over the digit 7, indicating that the digit 7 repeats infinitely. This can be represented as 0.7¯, where the bar extends over the 7 to show that it repeats indefinitely. In mathematical notation, this is equivalent to the fraction 7/9, as the repeating decimal 0.7777 can be expressed as 7 divided by 9.
The 37th digit is 4The 37th digit after the decimal point is 1.The 37th digit is 4The 37th digit after the decimal point is 1.The 37th digit is 4The 37th digit after the decimal point is 1.The 37th digit is 4The 37th digit after the decimal point is 1.