To find the 2001st digit in the repeating decimal for 1/7, we need to understand that 1/7 is a recurring decimal with a repeating pattern of 142857. Since the pattern length is 6 digits, we divide 2001 by 6 to get the remainder, which is 1. Therefore, the 2001st digit in the repeating decimal for 1/7 is the first digit in the repeating pattern, which is 1.
0.142857 142857 ... with the 6-digit string repeating. It would be denoted by a dot over the 1 and 7 but, unfortunately, I cannot do that here.
Either, the decimal with a line over what's repeating (eg. 0.6 with a line over it), or decimal repeating (eg. "point six repeating").
7 over 12 as a repeating decimal = 0.583333...
2 over 11 written as a repeating decimal = 0.18181818...
A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 1213, exactly as in the question.
For a single repeating digit, it is a dot over the digit.For string of repeating digits, it can be a dot over the first and last repeating digits, or a bar over the repeating string.
To show a repeating decimal you put a dot above the digit that repeats.
0.428571... with the 6-digit string repeating forever.
To convert a one digit repeating decimal, make a fraction of that digit over 9, so 55/99 = 5/9 You can convert any repeating digits by putting them over the same number of 9s.
A dot over the first and last number if the repeating entity is a series of numbers (such as the decimal of 1/7) , two dots if it is one number repeating (such as the decimal of 1/3)
I assume you mean "repeating decimal". Yes. For example, 1/6 = 0.166666... after that, the digit "6" repeats over and over again. In other cases, it is more than one digit that repeats, over and over. Note that at first there may be other digits, that don't repeat later on.In general, any fraction (with integers on top and bottom), if converted into a decimal, will eventually start repeating. Conversely, any repeating decimal can be converted into a fraction.
0.142857 142857 ... with the 6-digit string repeating. It would be denoted by a dot over the 1 and 7 but, unfortunately, I cannot do that here.
The line over a repeating decimal is called the vinculum.
Either, the decimal with a line over what's repeating (eg. 0.6 with a line over it), or decimal repeating (eg. "point six repeating").
repeating decimal
.428 * * * * * Not rounded correctly! A fuller answer is 0.428571... with the 6-digit string repeating forever.
7 over 12 as a repeating decimal = 0.583333...