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These numbers, such as pi, are known as trancendentalnumbers, because they represent a value that is not the solution of an algebraic equation or a quotient using real numbers.

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Q: What is a decimal that does not show a repeating pattern called?
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Decimal in which digits do not show a repeating pattern is called what?

Either terminating (as in 0.25) or non-terminating as in the expression for pi.


Is a repeating decimal rational?

yes, repeating decimals (those that have infinite - never ending - number of digits after the decimal point and these decimals show repeating pattern) are rational numbers, because they can be written as fractions.


When A calculator is set to show up to 10 digits of a decimal number and yields the following 10 digit output .3263263263. Is it possible to determine whether or not this number is rational why?

The decimal shows a repeating pattern. Repeating decimals are rational.


How do you show two divided by three in decimal form?

0.666 repeating


Do you put repeating sign over 6.667?

To show a repeating decimal you put a dot above the digit that repeats.


What is the answer when you change 7 over 30 to a decimal with using a bar to show a repeating decimal?

.2333 with the bar over the 333


Is 0.123456789101112123456789101112 a repeating decimal?

As written it is a terminating decimal. However, if the digits 123456789101112 keep on repeating after the amount written (normally it would be written with a dot over the first 1 and the last 2; as that is impossible here, to show repeating an ellipsis (three dots) could be used, as in: 0.123456789101112123456789101112... to show that it goes on) then it is a repeating decimal.


What is a bar in math?

when converting a fraction to a decimal, some of the answers will be repeating decimals. A bar or line is sometimes placed over the part of the decimal that keeps repeating. ex: 0.24242424 etc. can be written as 0.24 with a 'bar' over the 24 to show that it keeps repeating.


Is a ellipsis decimal rational?

Sometimes. Ellipses are used in repeating decimals like 7.4444... or 8.121212... to show that the pattern repeats forever. Repeating decimals are rational. Ellipses are also used in non-repeating, non-terminating decimals like pi = 3.14159... . Non-repeating, non-terminating decimals are irrational.


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.


What is 1over3 as a decimal form show how you got it?

1/3 is .3333 repeating forever. To get this you divide 1 by 3.


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

There cannot be a counterexample since the assertion is true. This requires you to accept the true fact that the terminating decimal 1.25, for example, is equivalent to the repeating decimal 1.25000... (or even 1.24999.... ).