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A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is irrational.
If it repeats forever and never terminates, then it represents the ratio of 3 to 11.
Any number that either terminates or repeats the same pattern over and over is rational - and vice versa: any rational number either terminates, or repeats.
A rational number always repeats or terminates which can be thought of as repeating zeroes.
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.
A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is 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.
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).
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.
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) (:
If it repeats forever and never terminates, then it represents the ratio of 3 to 11.
False
A rational number is any number that can be written in the form of one integer over another integer; all rational numbers have a decimal form that either terminates or repeats one, or more, digits forever. 4.680 is a terminating decimal, therefore it is a rational number. 4.680 = 4680/1000 = 468/100 = 117/25 -------------------------- The decimal form of a rational number will repeat forever if the prime factorization of the denominator contains any prime other than 2 or 5.