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What can you say about the decimal expansion of any rational number?
Wiki User
∙ 10y ago
If its a rational number then its decimal equivalent can be expressed as a fraction
Wiki User
∙ 10y ago
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Is 5 over 2 an irrational number?
No, actually 2/5 is equal to .4 which is perfectly rational. Irrational numbers have an infinitely long decimal expansion. This is just one digit. Any rational number divided by any other rational number gives another rational number. Having an infinitely long decimal expansion is a necessary but not sufficient criterion for irrationality... for example, 1/3 is rational, though its decimal expansion is the infinitely long 0.33333333...
Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
Is 6.121231234. a rational number?
Yes, it is. Any terminating or a non-terminating recurring decimal is a rational number. In this case, the decimal is terminated. And so, this number is a rational number.
What are the properties of the operation rational number?
Any number or decimal number that can be expressed as fraction is rational.
Is 5.010010001 a rational number?
Yes. Any terminating decimal is rational.
Is 5 over 2 an irrational number?
No, actually 2/5 is equal to .4 which is perfectly rational. Irrational numbers have an infinitely long decimal expansion. This is just one digit. Any rational number divided by any other rational number gives another rational number. Having an infinitely long decimal expansion is a necessary but not sufficient criterion for irrationality... for example, 1/3 is rational, though its decimal expansion is the infinitely long 0.33333333...
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Is 0.454545... an irrational number?
No. It is a rational number. Any repeating decimal or terminating decimal is rational.
Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
Is the decimal .6 rational?
Any number with a finite number of decimals is rational.
Is every rational number a repeating decimal?
No. A rational number is any terminating numeral. A repeating decimal is irrational.
Is 6.121231234. a rational number?
Yes, it is. Any terminating or a non-terminating recurring decimal is a rational number. In this case, the decimal is terminated. And so, this number is a rational number.
Is 7.81 a rational number?
Yes. Any number with a finite number of decimal digits is rational.
What are the properties of the operation rational number?
Any number or decimal number that can be expressed as fraction is rational.
Is 5.010010001 a rational number?
Yes. Any terminating decimal is rational.
Is 5.737737777 a rational number?
Well, yes. Any decimal that terminates is a rational number.
How can you relate decimals with rationals?
-- Any decimal that ends is a rational number. -- Any decimal that never ends may or may not be a rational number. -- The decimal representation of an irrational number never ends.
