False
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)
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. A rational number is a number that either terminates or repeats. An irrational number neither terminates nor repeats. Therefore, it cannot be both.
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)
If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is irrational.
Correct -
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.