The number of digits increases - without limit.
It is normally a dot over the decimal digit or over the first digit and last digit if there are more than one recurring digits.
0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.
The answer is 43 and the reason why the tens digit changes is because 7 + anything over 2 will change the digit. If just added 7 + 6 it would be 13 then add 30. 1 + any whole number over 8 will change the tens digit 2 + any whole number over 7 will change the tens digit 3 + any whole number over 6 will change the tens digit 4 + any whole number over 5 will change the tens digit 5 + any whole number over 4 will change the tens digit 6 + any whole number over 3 will change the tens digit 7 + any whole number over 2 will change the tens digit 8 + any whole number over 1 will change the tens digit 9+ any whole number over 0 will change the tens digit ect
Oh, dude, yeah, totally! A remainder can definitely be a 2-digit number. It's just whatever is left over after you divide one number by another. So, like, if you divide 100 by 3, you get a remainder of 1, which is a 1-digit number. But if you divide 100 by 7, you get a remainder of 2 digits, which is totally cool too.
If you mean to continue the pattern indefinitely, adding more digits, and one more "1" in every cycle, then it is NOT rational. In the case of a rational number, the EXACT SAME group of digits has to repeat over and over (perhaps after some other, initial, digits), for example:0.45113113113113113... Here, the group of digits "113" repeats over and over, so the number is rational.
Well, honey, the largest 12-digit number with repeated digits allowed is 9,999,999,999,999. I mean, unless you want to get fancy and start throwing in letters or emojis, but I doubt that's what you're looking for. So there you have it, the biggest 12-digit number you can get with the same digit repeated over and over again.
It is normally a dot over the decimal digit or over the first digit and last digit if there are more than one recurring digits.
0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.0.076923076923076923076923076923076 ... The digits 076923 repeat over and over.
Assuming by "decimals" you mean a number which has digits after a decimal point, then there is no remainder. You can append lots of zeros after the digits after the decimal point without changing the value of the number, and so you can continue the division after the non-zero decimal digits have been used up. eg 12.3 ÷ 2 gets to 6.1 and you think you have a remainder of 1, but you can append a zero to the 12.3 to get 12.30 without changing its value and now the division can continue to get: 12.30 ÷ 2 = 6.15 If the division does not terminate but ends with one or more digits repeating you can either indicate the repeating digit(s) by a dot over the first and last repeating digits (or over the digit if it is a single repeating digit), or round the answer to an appropriate number of decimal places - the question may tell you which to do.
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.
We have ten fingers (including thumbs) and early counting is based on one-to-one mapping onto these digits. So one reason is simple familiarity. The other advantage of counting in decimals is that fewer digits are required: 4 decimal digits takes you to over a thousand, you would need 10 binary digits to go over 1024. It gets worse with larger numbers: 7 decimal digits to go over a million but 20 binary digit. I have phones with 11 digit numbers (without the international country code). In binary, that would be a 33-digit number. No thanks!
No, there can be any finite number of repeating digits. For example, 1/9 = 0.101010... where 10 repeats. Division by 7 gives rise to a six-digit string which repeats.
0.5714
The answer is 43 and the reason why the tens digit changes is because 7 + anything over 2 will change the digit. If just added 7 + 6 it would be 13 then add 30. 1 + any whole number over 8 will change the tens digit 2 + any whole number over 7 will change the tens digit 3 + any whole number over 6 will change the tens digit 4 + any whole number over 5 will change the tens digit 5 + any whole number over 4 will change the tens digit 6 + any whole number over 3 will change the tens digit 7 + any whole number over 2 will change the tens digit 8 + any whole number over 1 will change the tens digit 9+ any whole number over 0 will change the tens digit ect
A check digit is typically a single digit 0-9 (or it may be a single byte with value 0-255), which is calculated from a formula, using the other digits in a string of digits. The digit is then appended, usually at the end of the string of digits before encoding for transmission over a communications network or creating a barcode. The receiver (or barcode scanner) has the same formula, which was used to create the check digit, and performs the same operation, then checks to see if the digit that was received (or scanned) is the same as the calculated digit. If they match, then a successful transmission is assumed. Disk drives also use check digit methods to see if data read in might be erroneous, due to imperfections in the disk surface.
Oh, dude, the period of the underlined digits is just the number of digits in a repeating decimal pattern. It's like when your friend keeps telling the same joke over and over again. So, if you see 0.333... the period of the underlined digits is 1 because it just keeps repeating that "3" forever. It's like a never-ending story, but with numbers.
The decimal moves over 1 digit to the right. Ex: 10 x 1.10 = 11.0