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Why can a terminating decimal always be written as a decimal fraction?

Because a terminating decimal is a rational number that can also be expressed as a fraction


Is 8.56909 a rational or irrational decimal?

Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.


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.


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.


Are all terminating and decimals rational numbers?

All terminating decimal numbers are rational.


Is a negative decimal always rational?

A terminating or repeating decimal is always rational. Whether it is positive or negative makes no difference. So the answer is no it is not always rational, such as -1/pi


Are rational numbers always terminating?

No. The simplest example is the number 1/3, which when expressed as a decimal is the infinite (non-terminating) 0.333...


Is 4.101010001 a rational nummber?

It is rational because it is a terminating decimal


What is a terminating decimal that is not an integer?

0.5 is a terminating decimal and, since it is equal to a half, it is not an integer. A terminating decimal that is not an integer is a rational fraction. However, not all rational fractions are terminating decimals (eg 1/3 = 0.333...).0.1251.2512.5etc.


Is -5.65 rational?

Yes. Any terminating decimal is rational.


What numbers can be expressed as a terminating or repeating decimal?

Rational numbers can be expressed as a terminating or repeating decimal.


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.