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The number 0.3333... repeats forever therefore it is irrational.?
No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.
Is the number 0.333.... repeats forever therefore it is irrational?
No because any number that can be expressed as a fraction is a rational number and in this case the fraction is 1/3When trying to represent an irrational number as a decimal there are two conditions:the part of after the decimal never terminates (which is met by the described number)the decimal part never repeats (which is NOT met by the described number)
Is 0.83 an irrational number?
I would say no, it is rational. A number is only irrational if it repeats with no specific pattern.
Is 1.24562... an irrational number?
Irrational numbers are non-repeating, non-terminating decimals. If your number repeats, it's rational. If it doesn't, it's irrational.
Do irrational numbers repeat?
No. Irrational numbers are those that cannot be represented as a fractions. Any number which repeats could be represented as a fraction.
The number 0.3333... repeats forever therefore it is irrational.?
No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.
The number 0.03333…repeats forever therefore it is irrational?
No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.
If a number is a real number can it be rational and irrational simultaneously Why?
No. A rational number is a number that either terminates or repeats. An irrational number neither terminates nor repeats. Therefore, it cannot be both.
Is the number 0.333.... repeats forever therefore it is irrational?
No because any number that can be expressed as a fraction is a rational number and in this case the fraction is 1/3When trying to represent an irrational number as a decimal there are two conditions:the part of after the decimal never terminates (which is met by the described number)the decimal part never repeats (which is NOT met by the described number)
The number 0.7777... repeats forever therefore it is irrational.?
No. Repeating decimals are always rational. 0.7777... is actually the decimal expansion of 7/9, which as you can clearly see is rational (it's the ratio of 7 to 9).
Consider the decimal do you think this decimal represents a rational number why or why not?
If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is irrational.
Is the number 0.1111... Repeats forever there for its irrational true or false?
False. The number 0.1111... (which can be expressed as the fraction 1/9) is a repeating decimal and is therefore a rational number. Rational numbers can be expressed as the ratio of two integers, and since 0.1111... can be represented as 1 divided by 9, it is not irrational.
Is 37.68 a rational number?
Yes. Rational numbers either stop, which in your case it does, or it repeats (like 1.3333333...). Irrational numbers go on forever. (such as pi) (:
What is the difference between the decimal expansion in irrational and rational numbers?
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
Is 5.7777 A rational number?
Yes. If you mean 5.7777 as a terminating decimal it is 57777/10000 If you mean 5.7777... as a recurring decimal where the 7 repeats forever it is 57/9 If a decimal number terminates or repeats one or more digits forever it is a rational number. Otherwise if a decimal number goes on forever but does not repeat any digits (eg √2 = 1.41421356...) then it is an irrational number.
Is 0.3030030003 rational or irrational?
The number 0.3030030003 is a rational number because it can be expressed as a fraction of two integers. Specifically, it has a repeating decimal part (the "003" repeats), which means it can be represented in the form of a fraction. Therefore, it is not an irrational number.
Is 0.83 an irrational number?
I would say no, it is rational. A number is only irrational if it repeats with no specific pattern.
