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โˆ™ 2010-06-25 09:45:51
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Math and Arithmetic

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What does multiplication property of inequality mean

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Q: Are any irrational number is always a non repeating and non terminating decimals?
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Related questions

Is rational number sometimes never or always repeating?

If you consider terminating decimals as ones that end in repeating 0s, then the answer is "always".

Is an irrational number always a non-repeating and non-terminating decimal number?


Are terminating decimals always rational numbers?

Yes, terminating decimals are always rational numbers.

What number is rational 12 14 0.76 or pie?

Pie is always regarded as an irrational no. 12140.76 is rational as it is a terminating no. Irrational no. is always non-terminating and non repeating. example- Square root 2 , pie etc.

Are decimals in a fraction always rational numbers?

There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.

Why are terminating decimals rational numbers?

they always are.

Is a fraction always a rational number?

No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.

Are irrational numbers always non terminating?


Are terminating decimals always sometimes or never a rational number?


Are terminating decimals always nether or sometimes a rational numbers?

They are always rational numbers.

Is a repeating decimal sometimes a rational number?

Repeating decimals are always rational.

Are repeating decimals always rational numbers?


What is a counterexample to show that the repeating decimals are closed under subtraction false?

In fact, the statement is true. Consequently, there is not a proper counterexample. The fallacy is in asserting that a terminating decimal is not a repeating decimal. First, there is the trivial argument that any terminating decimal can be written with a repeating string of trailing zeros. But, Cantor or Dedekind (I can't remember which) proved that any terminating decimal can also be expressed as a repeating decimal. For example, 2.35 can be written as 2.3499... Or 150,000 as 149,999.99... Thus, a terminating decimal becomes a recurring decimal. As a consequence, all real numbers can be expressed as infinite decimals. And that proves closure under addition.

Are repeating decimals sometimes always or never rational numbers?


Are reapeating decimals sometimes rational numbers?

Repeating decimals are ALWAYS rational numbers.

That decimals that have repeating patterns always have the same numbers?

Yes, that's what "repeating" refers to.

Will repeating decimals always or never be rational numbers?

They will always be rational numbers.

Will repeating decimals always be rational numbers?

Yes, they will.

Can fractions always be written as decimals?

You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.

Is a non-terminating decimal always sometimes or never a rational number?

Sometimes. (pi) is non-terminating and irrational. 0.33333... non-terminating is 1/3 , which is rational.

Are non-terminating decimals are always never or sometimes used for rational numbers?

Sometimes. '0.333333 ...' (non-terminating) is sometimes used for '1/3' . '0.25' (terminating) is used for '1/4' .

Are irrational numbers always non-terminating?

Yes. Any terminating number is rational. (But some non-terminating numbers are rational too, like 1/3, 1/7, 1/9, etc.

The number 0.7777... repeats forever therefore it is irrational.?

No. Repeating decimals are always rational. 0.7777... is actually the decimal expansion of 7/9, which as you can clearly see is rational (it's the ratio of 7 to 9).

The quotient of two integers is always a rational number?

Yes. All numbers are rational numbers except repeating decimals like 1.3(repeating). * * * * * Repeating decimals are also rationals. However, the quotient is not defined if the second number is the integer zero!

A repeating decimal is an irrational number?

Not always because any decimal that can be expressed as a fraction is a rational number as for example 0.33333.....repeating can be expressed as 1/3 which is a rational number