Math and Arithmetic
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# Are all terminating and repeating numbers rational numbers?

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All decimals that terminate, or end with a repeating set of digits are rational numbers.

eg 1.234, 1.222..., 1.232323..., 1.23444..., 1.2343434... are all rational numbers.

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## Related Questions

If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.

No.0.33333... repeating = 1/30.428571... repeating = 3/70.11111... repeating = 1/90.090909... repeating = 1/11Those decimals are all non-terminating, but the numbers are all rational.

All terminating and repeating numbers are rational.the square root of non perfect squares and pi are irrational.

yes, all numbers except numbers that have non-terminating, non-repeating decimals.

All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.

Nope. For example 1/3 is rational, but not terminating.

Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.

All terminating or repeating decimals are rational. -1.87652 terminates so it is rational.

rational and irrational numbers are two types of real Numbers. all real numbers which are terminating and non terminating but repeating comes in the category of rational numbers. all real numbers which are non terminating and non recurring comes in the category of irrational numbers. rational numbers are expressed in the p/q form where p and q are both integers and q is not equal to 0.the opposite the case is with irrational numbers. they are not expressed in the p/q form

They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.

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.

Yes, if a decimal terminates it is rational. However, decimals that repeat with a definite pattern, such as 8.2121212121..., would also be rational.All terminating decimals are rational. For example, 0.1259 is the same as the rational number 1259 / 10000.Both terminating decimals and repeating decimals are rational numbers.yes!let x be a real number with k digits after the decimal. then x*10k and 10k are integers, and (x*10k) / (10k) = x. therefore xis rational.

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.

There are two kinds of decimals that are rational: terminating and repeating. Terminating decimals are simply decimals that end. For example, the numbers after the decimal point for 3.14, 5.5, and 424.827598273957 don't continue on forever; i.e. they terminate. Repeating decimals differ from terminating decimals in that the numbers after the decimal point continue on forever. For example, the numbers 3.333333333..., 10.010101010101..., and .0356811111111111..., where the "...'s" mean that the numbers continue on indefinitely, are all repeating decimals. The reason why both of these types of decimals are considered rational is because both types can also be expressed as a fraction of two integers. Non-repeating decimals, such as pi and the square root of two, can't be expressed as a fraction of two integers, and so therefore are irrational.

5.68 is rational. All decimal numbers that terminate, or end in one or more repeating digits are rational numbers.

Yes, except that all irrational numbers will be non-terminating, non-repeating decimals.

They are real numbers. All irrational numbers are non-terminating. Also, any rational numbers which, in its simplest form has a denominator which contains a factor other than 2 or 5 (or their powers) is non-terminating.

No because non-repeating decimals may be terminating.But suppose you consider terminating decimals as consisting of repeating 0s. That is, 1/8 = 0.125 = 0.12500....Then all non-repeating decimals are irrational.

All terminating decimals are rational.

0.3333... non-terminating = 1/3 (rational) 0.1666... non-terminating = 1/6 (rational) 0.0666... non-terminating = 1/15 (rational) 0.1111... non-terminating = 1/9 (rational) 0.3636... non-terminating = 4/11 (rational) 0.428571428... non-terminating = 3/7 (rational) I guess not .

None of them: they are all rational since they can all be represented as terminating decimal numbers.

1.41 as a terminating decimal is a rational number as it can be expressed as one whole number over another: 1.41 = 141/100 All terminating decimals, or decimals that end in repeating digit(s) are rational numbers. --------------------------------------------- If that is an approximation (rounded to 2 decimal places) of &radic;2 = 1.41[421356...] then it irrational.

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