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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 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.
Is 17.70027485281086486350.. rational or irrational?
If that's the complete number, then it's rational. But I see two periods after the '350'. Are those meant to suggest that the decimal goes on further ? If so, then in order to answer your question, we need to know whether the decimal ever ends or repeats. -- If it never ends or repeats, then it's an irrational number. -- If it ever ends or repeats, even if the repeat is several thousand digits long, then the number is rational.
