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Irrational.

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Repeating

Q: What do you call the kind of decimal that goes on forever and does not have digits which repeat?

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Assuming you mean it repeats indefinitely, you call your number "x", and write:x = 0.66666...10x = 6.66666...You subtract the first equation from the second, then solve the resulting equation for "x".Note: In other cases, if two digits repeat, you multiply by 100 to get the second equation; if three digits repeat, you multiply by 1000, etc.

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It comes from the Latin word decimus, meaning 'tenth'. Decimal places are ordered in powers of ten.

a tenth

thousandths

Related questions

a repeating or recurring decimal

A terminating decimal number.

a repeating or recurring decimal

A decimal to two digits, perhaps.

A real number. Or, the decimal representation of a real number.

We are to convert 2/7 to a percentage, which basically means a fraction in which the denominator is 100. If we call the percentage x, we have the equation x/100 = 2/7. Multiplying both sides by 100, we get x = 200/7. Carrying out the division of 200 by 7, we get x = 28.571428571428.... The 6 digits 571428 repeat forever. Rounding to 3 decimal places, the answer is 28.571%.

Presumably you want to convert that into a fraction. Here is an example. Your number is 0.4121212... ("12" is repeated) Call this "x": x = 0.4121212... Multiply this by 100 (if three digits repeat, multiply by 1000, if 4 digits repeat, by 10,000, etc.), and subtract: 100x = 12.21212... x = 0.41212... 99x = 11.8 Therefore, x = 11.8 / 99 = 118/990. The final step is to see whether you can simplify the fraction.

arabic numbers or decimal numbers

In theory there are three types of decimal fractions: terminating, recurring and non-recurring infinite.For a terminating fraction, count the numbers of digits after the decimal point and call that number d. Then write a fraction with numerator equal to the decimal fraction but without the decimal point and the denominators equal to 1 followed by d zeros. That ratio is an equivalent fraction though it may be possible to simplify it.For example:Given 98.765, d = 3 (the digits 765)So equivalent fraction = 98765/1000For a recurring decimal, count the number of digits from the decimal point to the point before the recurring pattern begins, d and count the number of digits in the recurring pattern, r. Then, build the fraction as follows:Numerator = the number formed to d+r digits after the decimal point minus the number formed to ddigits after the decimal point.Denominator = r 9s followed by d 0s.For example,12.789656565.... recurringd = 3r = 2So Numerator = 5 digits after the decimal point - 3 digits after the dp= 1278956 - 12789 = 1266167and denominator = 2 nines followed by 3 zeros = 99000So equivalent fraction = 1266167/99000.Finally, you cannot be given an infinite, non-recurring decimal fraction. It will have to be approximated.

In decimal we write a number by using a combination of 10 digits (0-9). In base 2, however, numbers are written by using a combination of only 2 digits (0 & 1). We call this number system binary.

Assuming you mean it repeats indefinitely, you call your number "x", and write:x = 0.66666...10x = 6.66666...You subtract the first equation from the second, then solve the resulting equation for "x".Note: In other cases, if two digits repeat, you multiply by 100 to get the second equation; if three digits repeat, you multiply by 1000, etc.

If it is a terminating decimal, count the number of digits after the decimal and call it x. Put those digits over 10^x and reduce. For example, if the fraction is 0.84, x is 2, so 84/10^2 = 84/100 = 21/25■ If it is a repeating decimal, put the repeating portion over (10^x)-1. If the fraction is 0.848484..... put 84/(100-1) = 84/99 = 28/33■