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The number 0.7777... repeats forever therefore it is irrational.?
Wiki User
∙ 7y ago
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).
Wiki User
∙ 7y ago
Anonymous
True
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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 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 -3.72 rational or irrational?
Rational. A rational number either terminates at a point or repeats in a pattern forever. -3.72 is rational because it ends at the hundredths place.
Is 0.2020020002.. a rational number?
If you mean that the number continues by a number of 0s which is one more than the previous numbers of 0s followed by a 2 forever, then it is an irrational number. If you mean that the "2020020002" repeats then it is a rational number.
Is 3.40764076407640764076 rational or irrational?
3.407640764076407640764076(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. ---- 3.407640764076407640764076 = 3407640764076407640764076/1000000000000000000000000 Which is of the form of one_integer/another_integer so it a rational number. 3.4076... (where the 4076 repeats forever): 3.4076... = 34076/9999 = 34073/9999 Again of the form of one_integer/another_integer so it a rational number. Either way, 3.4076...4076 is a rational number. Decimal numbers that terminate, or go on forever with repeating a sequence of digits are rational. Decimal numbers that go on forever without repeating a sequence of digits are irrational, eg √2.
Ask us anythingThe number 0.1111... repeats forever therefore it is irrational?
False
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.
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.
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 pi goes on forever with no repeating pattern therefore its irrational?
Correct -
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.
What is a real number that can not be expressed as a desimal that repeats is?
It is an irrational number.
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) (:
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.
The number pi goes on forever with no repeating pattern therefore it is irrational. true or false?
True
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.
