No because any number that can be expressed as a fraction is a rational number and in this case the fraction is 1/3
When trying to represent an irrational number as a decimal there are two conditions:
False
No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.
Correct -
True
I would say no, it is rational. A number is only irrational if it repeats with no specific pattern.
False
No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.
No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.
No. A rational number is a number that either terminates or repeats. An irrational number neither terminates nor repeats. Therefore, it cannot be both.
Correct -
If the decimal terminates or repeats, it is rational. If it keeps on going forever, 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).
It is an irrational 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) (:
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.
True
I would say no, it is rational. A number is only irrational if it repeats with no specific pattern.