Study guides

☆☆

Q: What can you conclude about the types of rational numbers that have repeating decimals?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

If the decimal ever ends, or if it never ends but eventuallysettles into a repeating pattern of digits, then it can.

They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.

Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.

All terminating decimal numbers are rational.

Rational because it can be simplified into -3/50. Irrational numbers are decimals that go on forever. For example, pi 3.141592653... goes on forever.

Related questions

All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.

You cannot conclude anything.They need not be repeating decimals, they need not be in their simplest form.

Terminating and repeating decimals are rational numbers.

Repeating decimals are ALWAYS rational numbers.

Yes.

Repeating decimals are rational numbers if there is a pattern, like 0.22222222. If it is not a pattern, like 0.568964329, it is an irrational number.

Yes.

Yes.

Yes.

They will always be rational numbers.

Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.

No. Numbers with terminating or repeating decimals are rational.

People also asked