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Answered 2010-04-19 00:02:30
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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.
Can all decimals be written as rational numbers?
If the decimal ever ends, or if it never ends but eventuallysettles into a repeating pattern of digits, then it can.
Why is 3.14 rational but π is not?
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
How many forms can you write a decimal number?
There are essentially three forms:Terminating decimals: 386 or 23.567,Recurring decimals: 36.572343434... (with 34 repeating),Non-terminating infinite decimals: these represent irrational numbers for which the digits after the decimal point go on for ever without falling into a repeating pattern.
What is the definition for repeting decimals?
A decimal with a continuously repeating digits or group of digits
Are all terminating and repeating numbers rational numbers?
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.
Are repeating decimals an irrational number?
A repeating decimal is a rational number. Its value is(the repeating set of digits)/(as many 9s as there are digits above).
How do you change a repeating decimals into fractions?
The pattern is divide the repeating number by the amount of nines equivalent tot he amount of digits in the repeating pattern. For example: 0.44444... = 4/9 and .123123123123... = 123/999.
Why are there repeating decimals?
Some numbers cannot be written exactly and their decimals repeat infinitely. The best example is 1/3 written as a decimal. It is 0.33333 going on infinitely. Some have multiple digits that keep repeating.
What is the definition of repeating decimals in mathematics?
Repeating decimals consist of a fixed string of digits which repeat infinitely in the decimal representation of a number. These may start anywhere after a finite number of digits.
What is non repeating decimals?
That can refer to one of two types of decimals: terminatingand irrational.Terminating decimals don't repeat because they stop, whereas irrational decimals simply never repeat a distinct pattern of digits.
In repeating decimals the line or bar placed over a repeating decimal?
It is placed over one length of repeating decimal digits.
Do rational numbers have a repeating decimal?
They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.
What is non terminating and non repeating decimals?
Non terminating means that when represented as a decimal, the digits go on forever. In this class there are two types: There are repeating, such as 0.333333... which equals 1/3 and 0.090909.... which equals 1/11. Then there are non-repeating, which go on forever without a repeating pattern. These are the irrational numbers, such as pi, e, and square root of 2.
What is a fraction in which one or more digits repeat forever........What is it called?
repeating or recurring decimals
What is the difference between a terminating and a repeating decimal?
A terminating decimal reaches an end after a finite number of digits whereas a repeating decimal, after a finite number of digits, has a string of decimals (also of finite length) that repeats forever. Thus 1.2356 is a terminating decimal. 1.456333... is a repeating decimal with the digit 3 repeating an infinite number of times. So also is 23.56142857142857...... where the string 142857 repeats to infinity. In fact, terminating decimals may be viewed as repeating decimals with zero repeating infinitely.
Are all terminating decimals rational numbers?
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.
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.
Is 0.08008000800008... Rational?
Rational numbers are those decimals which either terminate or end in a repeating sequence of 1 or more digits. Assuming the number continues with an extra 0 before the next 8 each time then the number neither terminates nor ends in a sequence of repeating digits, thus it is not a rational number.
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 many 4 digit numbers can are there with distinct digits?
4,536 whole numbers or mixed numbers. 5,040 pure decimals.
What makes repeating decimals on your calculator?
Nothing, calculators cannot display repeating decimal numbers, they terminate them at the number of digits they can handle.However try any division calculation where the numerator and denominator are relatively prime (e.g. 1/3, 4/7, 22/15) and the result should be a repeating decimal (the calculator will stop the repeating however).
How are fractions are related to repeating decimals and terminating decimals?
If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.
What is 1234567891234567891234567891234567891234567891234567891234567891234567891234567891234567891234567?
A repeating sequence of numbers ! The digits 123456789 are simply repeated over and over.
What is an example of a repeating fraction?
A repeating fraction is a decimal representation of a number in which a string of numbers repeats itself endlessly. The repeating string may start after a finite number of non-repeating digits. For example, 29/132 = 0.21969696... repeating. The repeated sequence is [96] which starts after two digits.
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