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If the decimal doesn't terminate or repeat is is it a rational number still or not?
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∙ 6y ago
Not.
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∙ 6y ago
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Why repeating decimals happen?
A repeating decimal is any rational number whose decimal representation does not terminate after a given number of digits. As only a very small quantity of the rational numbers terminate in their decimal representation, practically any rational number picked at random will be a repeating decimal.
If it doesn if a decimal doesn't terminate or repeat is it still a rational number or not?
No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.
Is 17.1 rational?
Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.
What is the difference between the decimal expansion in irrational and rational numbers?
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
Is every rational number a decimal number?
All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.
Why repeating decimals happen?
A repeating decimal is any rational number whose decimal representation does not terminate after a given number of digits. As only a very small quantity of the rational numbers terminate in their decimal representation, practically any rational number picked at random will be a repeating decimal.
If it doesn if a decimal doesn't terminate or repeat is it still a rational number or not?
No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.
Is 17.1 rational?
Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.
What is the difference between the decimal expansion in irrational and rational numbers?
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
How is a decimal a rational number?
A decimal is a rational number if:* It terminates - i.e., it has a finite number of decimal digits. * It doesn't terminate, but it repeats the same pattern over and over - possibly after a finite number of digits that are not included in the pattern. For example, 0.145145145145..., or 3.125252525...
Is every rational number a decimal number?
All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.
Does the decimal 0.101001000100001000001 represent a rational number?
no because it continues a nd doesnt end.
Is 0.57 irrational?
No 0.57 = 57/100 All decimal numbers which terminate or end with a repeating cycle of 1 or more digits are rational numbers. All decimal numbers that do not terminate and do not repeat are irrational.
Is 3.87655is a rational number?
All rational numbers are those than can be expressed as one whole number over another. 3.87655 = 387655/100000 = 77531/2000 which is of this form, so it is a rational number. The decimal representation of a rational number either terminated or ends with a repeating sequence of digits.
Does an irrational number terminate?
Its decimal representation does not terminate.
Will 0.54732814 produce a rational number when multiplied by 0.5?
The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.
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.
