Q: A decimal in which one or more digits repeat infinitely?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

All numbers with a finite number of decimal digits are rational. Some that infinitely many decimal digits are rational as well. If you mean to repeat the pattern, adding one more "1" every time, then no, it is not rational - rational numbers repeat the SAME sequence of digits over and over (for example, 0.1515151515...), at least eventually (they may start with some digits that are not part of the repeating part, such as 3.87112112112...).

It is called a repeating decimal. It is also a form of a rational number.

The decimal digits of Pi never end; they continue infinitely. The digits also will never repeat. These are characteristics of irrational numbers. Rational numbers have decimal fractions that either come to an exact end, or they fall at some point into an infinitely repeating pattern. 1/5 equals .25 exactly, and 1/3 has a repeating decimal fraction of .3333_. So far pi has been calculated out to at least 2.7 trillion decimal places, and since irrational numbers go on for infinitely many decimal places, we are nowhere near the end (and never will be, however hard we try). To keep things in perspective, by the time you reach 6 or 8 decimal places, you have pi to a tolerance good enough for almost any application we could ever imagine using on a practical level. If we ever need more decimal places than 8, we can go to the above calculation where there are a few waiting in the wings.

1/3 = .33333... with the 3s repeating forever 1/7 = .142857142857... with the 142857 repeating forever A recurring decimal!! I just learnt it in school.

It is a decimal fraction.

Related questions

I'm just guessing that it is. That question is on my math homework and the definition in the back of my math book says: A decimal in which one or more digits repeat infinitely and I put yes. Because they repeat.

I'm just guessing that it is. That question is on my math homework and the definition in the back of my math book says: A decimal in which one or more digits repeat infinitely and I put yes. Because they repeat.

I'm just guessing that it is. That question is on my math homework and the definition in the back of my math book says: A decimal in which one or more digits repeat infinitely and I put yes. Because they repeat.

It is a repeating decimal.

It is a repeating decimal.

Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...

It is the decimal representation of some rational numbers.

a repeating or recurring decimal

The name for a decimal of this kind is "recurring".

Recurring

a repeating or recurring decimal

All numbers with a finite number of decimal digits are rational. Some that infinitely many decimal digits are rational as well. If you mean to repeat the pattern, adding one more "1" every time, then no, it is not rational - rational numbers repeat the SAME sequence of digits over and over (for example, 0.1515151515...), at least eventually (they may start with some digits that are not part of the repeating part, such as 3.87112112112...).