Yes.
the number that never ends and never repeats the same format is called non terminating non recurring decimals
Yes, if a decimal terminates it is rational. However, decimals that repeat with a definite pattern, such as 8.2121212121..., would also be rational.All terminating decimals are rational. For example, 0.1259 is the same as the rational number 1259 / 10000.Both terminating decimals and repeating decimals are rational numbers.yes!let x be a real number with k digits after the decimal. then x*10k and 10k are integers, and (x*10k) / (10k) = x. therefore xis rational.
If there are no further decimals, then it is rational. If it continues repeating 2929... then, too, it is a rational number.
In the context of decimal numbers, it means ENDING. So the decimal for 1/2 is 0.5 the decimal representation TERMINATES at 1 digit after the decimal point. The representation for 1/32 is 0.0.3125, a longer stretch after the decimal point, but still the decimal representation is TERMINATING. There are some numbers whose decimal representation ore not terminating. If the number is rational, the represntation is recurring. For example, 1/3 is 0.33... with the 3s going on forever. The decimal representation is said to be recurring. Similarly, 1/7 = 0.142857142857... with the number string repeating forever. Or the number is irrational and the decimal representation is neither terminating nor recurring. It goes on forever, but never settles into a recurring pattern.
No number can be rational and irrational at the same time. 3.14 is the ratio of 314:100 and so is rational. HOWEVER, 3.14 is also a common approximation for pi, which is an irrational number. All irrational numbers have infinite, non-recurring decimals and so are often approximated by rationals.
0.13131313 is a rational number, as it's a recurring number, and all recurring numbers are rational. To prove this, you first multiply by 10 until the decimal part of the number is the same. In this case, 0.13131313...x100=13.13131313.... Then you take off the original number 0.131313...x100 - 0.131313... = 13 Now you can simplify the left hand side 0.131313...x99=13 And divide both sides by 99, to get 0.131313....=13/99 So the original number can be expressed as 13/99, proving it's rational.
7999.99... recurring.7999.99... recurring.7999.99... recurring.7999.99... recurring.
For repeting it while repeat the same number over and over And for terminating it is such the oppisite
Any rational positive number is still rational when you make the same number negative.
3.1214122144 is a rational number. Rational numbers are any number that can be defined as a fraction. Your number is the same as 3 and 1214122144/10000000000
There cannot be any rational"between" the same number.
1.4 is a rational number. It has a terminal decimal. It is the same as 14/10.