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Are all terminal and repeating decimals rational?

Updated: 4/28/2022

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∙ 7y ago

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Yes.

Leland Grant ∙

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∙ 3y ago

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Q: Are all terminal and repeating decimals rational?

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Is a rational number a repeating decimal?

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

Is 39.81 repeating rational?

Yes it is. Repeating decimals are all repeating rationals.

Explain Why is 0.55555 is a rational number?

It can be written in the form of the ratio 55555/100000.

Are all terminating and repeating numbers rational numbers?

All decimals that terminate, or end with a repeating set of digits are rational numbers. eg 1.234, 1.222..., 1.232323..., 1.23444..., 1.2343434... are all rational numbers.

Is 1 9 a rational number?

yes, all numbers except numbers that have non-terminating, non-repeating decimals.

Related questions

Is a rational number a repeating decimal?

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

Is 39.81 repeating rational?

Yes it is. Repeating decimals are all repeating rationals.

All repeating decimals are rational numbers?

Yes.

Is -1.87652 rational or irrational?

All terminating or repeating decimals are rational. -1.87652 terminates so it is rational.

Are all terminating and repeating decimals rational numbers Explain?

Yes, they are.

Why can't repeating decimals be a rational number?

If the decimal representation of a number repeats, it isa rational number.

Are all nonterminating decimals irrational numbers?

Not at all. 0.33333... nonterminating = 1/3 rational 0.66666... nonterminating = 2/3 rational 0.1428571428... nonterminating = 1/7 rational 0.55555... nonterminating = 5/9 rational

What is the set of all integers plus all of the termination or repeating decimals?

The rational numbers

Why are repeating decimals common to get after dividing?

all rational fractions are repeating. When you divide, eventually the remainder will repeat and then will the sequence

Explain Why is 0.55555 is a rational number?

It can be written in the form of the ratio 55555/100000.

Are all terminating and repeating numbers rational numbers?

All decimals that terminate, or end with a repeating set of digits are rational numbers. eg 1.234, 1.222..., 1.232323..., 1.23444..., 1.2343434... are all rational numbers.

Are all imperfect square roots repeating decimals?

Yes. Because they have to be a rational number

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