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Can every rational number be represented by a terminating decimal?
Wiki User
∙ 14y ago
No, a rational number, expressed as decimal, is either a terminating decimal, such as 1/4 = 0.25, or a repeating decimal, such as 1/7 = 0.142857 142857 142857 ...
Wiki User
∙ 14y ago
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Why every rational number can be represented by either a terminating decimal or a repeating decimal?
That is the definition of a rational number.
What is non terminatin repeating decimal?
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
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.
Why decimal is considered as rational number?
A decimal need not be a rational. A non-terminating, non recurring decimal is an irrational number. Only a terminating decimal or a recurring decimal is rational and that is because such a number can be expressed as a ratio of two integers.
What is Rational number as a decimal?
It is either a terminating decimal or a repeating decimal.
Why every rational number can be represented by either a terminating decimal or a repeating decimal?
That is the definition of a rational number.
Why is 0.333333333 a rational number?
If a decimal number is terminating or non-terminating repeating then it can be represented as a rational number.0.333333333 = 333333333/1000000000 which is in the form of p/q - a rational number.
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Is 30.21685 rational?
A number with finite decimal part is known as terminating decimal.Converting a terminating decimal number to a rational number:30.21685 = 30.21685/1Multiplying denominator and numerator by 100000, we get30.21685 = 3021685/100000 which is of the form p/q(where p and q are integers and q is not equal to 0) - so 30.21685 is a rational number.So, a decimal number if it is terminating or non-terminating repeating then it can be represented as a rational number.
Is 2.0030003 a rational number?
Yes. It can be represented by a terminating decimal and therefore as the ratio: 20030003/10000000
What is non terminatin repeating decimal?
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
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.
How do you make 1ninth into a decimal?
Divide 1 by 9. You get 0.1111111... and it never ends. This is a case of a rational number that can't be represented by a terminating decimal.
Why decimal is considered as rational number?
A decimal need not be a rational. A non-terminating, non recurring decimal is an irrational number. Only a terminating decimal or a recurring decimal is rational and that is because such a number can be expressed as a ratio of two integers.
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.
What is Rational number as a decimal?
It is either a terminating decimal or a repeating decimal.
