Irrational Numbers

Can irrational numbers be decimals?

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Answered 2010-11-11 13:24:16

An irrational number by definition can not be exactly represented by a decimal that terminates or recurs. The moment a decimal terminates, or settles into a repeating pattern, it is rational.

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Related Questions

Are irrational numbers terminating decimals?

No. Irrational numbers are non-terminating decimals.

Are repeating decimals rational?

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

Are recurring decimals considered irrational numbers?

No. Recurring decimals are rational numbers.

Are terminating and repeating decimals irrational numbers?

Terminating and repeating decimals are rational numbers.

Are All Integers Are Irrational Numbers?

No integers are irrational numbers. An integer is a whole number, positive or negative. This means they have no decimals or fractions. An irrational number, however, is a number with fractions or decimals. Therefor, there are no integers that are irrational numbers.

Are repeating decimals rational or irrational numbers?

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.

What type of decimals are irrational numbers?

Non-terminating, non-repeating decimals.

Why cant irrational numbers be represented in decimal form?

But irrational numbers are decimals that can't be expressed as fractions

What do you call the set of infinite decimals and non perfect square root?

Infinite decimals: irrational numbers; Non-perfect square roots: a subset of irrational numbers.

Is 23.8282828282 irrational?

No. Numbers with terminating or repeating decimals are rational.

What are irrational decimals?

Irrational numbers are real numbers which cannot be expressed as fractions. In other words, decimals that never repeat. Examples: sqrt(2) -pi 4*sqrt(3)

What are the decimals that cannot be seen in the set of rational numbers?

They are decimal representations of irrational numbers.

Are natural numbers irrational numbers?

No. All natural numbers are whole, so they are rational. Irrational numbers like pi and the square root of 34 come in decimals.

When do you use decimals versus the fraction form of rational numbers?

All rational numbers can be converted from decimals to fractions as for example 0.75 = 3/4 but irrational numbers can not be converted from decimals to fractions.

Are decimals irrational numbers?

They are if they go on forever without terminating or repeating.

Can an irrational number be a repeated decimal?

Yes. Irrational numbers are never-ending numbers. Examples: Pi, repeating decimals, imperfect squares

What numbers are repeating decimals?

.333333333...; .999999999999...; .666666666666666...; etc. All irrational numbers, basically.

How many decimals in pi?

Infinitely many. pi is not just an irrational number but a transcendental number. All irrational numbers have infinite decimals that do not go into a recurring pattern.

What is the definition for the word non-repeating decimals?

Non-repeating decimals is not a word but a phrase. Non-repeating decimals are irrational numbers.

Are irrational numbers decimals?

Yes. Every whole number can be expressed as a ratio of whole numbers, and any fraction consisting of whole number numerators and denominators are by definition rational. So irrational numbers will be unending non-repeating decimals.

What are the importance of knowing the operation in decimal?

In order to convert decimals into percentages In order to convert decimals into fractions To distinguish irrational numbers from rational numbers

Could the set of rational numbers include all decimals?

No, they could not. Irrational numbers are also decimal numbers.

What are never ending decimals numbers called?

Irrational number or repeating decimal

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