A line over the decimal part of a number indicates that there is a part that recurs infinitely many times. Such numbers are rational.
It is rational.
Both rational and irrational numbers can be expressed with decimals. If the number is irrational, it will have an infinite number of decimal digits, and there will be no periodic repetition. For example, 1/7 (which is rational) is 0.142857 142857 142857... The same sequence of six digits repeats over and over again. In irrational numbers, this is not the case.
If the decimal number can be expressed as a fraction (with one whole number over another), then it is a rational decimal number. So 7/5 is a rational number, and remains as such even if expressed in decimal form (of 1.4).
Rational.
It is rational
It is rational.
No, it is rational.
it is irrational because you just keep writing the same number over and over again!
It is irrational because when you divide 2 by 8 you get a terminating decimal,0.205.
Both rational and irrational numbers can be expressed with decimals. If the number is irrational, it will have an infinite number of decimal digits, and there will be no periodic repetition. For example, 1/7 (which is rational) is 0.142857 142857 142857... The same sequence of six digits repeats over and over again. In irrational numbers, this is not the case.
If the decimal number can be expressed as a fraction (with one whole number over another), then it is a rational decimal number. So 7/5 is a rational number, and remains as such even if expressed in decimal form (of 1.4).
Irrationals differ from Rationals by definition. If a real number is not a Rational Number then it is Irrational. One way to find out if a number is either Rational or Irrational is to look at its decimal value. If the digits past the decimal point terminate then it is a Rational number. If the digits past the decimal point repeat the same digit forever, of if it repeats a sequence of digits over and over, then it is a Rational Number. If the digits past the decimal point do not repeat in any pattern, and do not stop, then it is an Irrational number. Another way to find out if a number is Rational or Irrational is if it can be exactly described by a fraction (ratio). If it is the same as some fraction, then it is a Rational Number. Irrationals cannot be exactly described as a fraction.
Integers are rational. Also, terminating decimal numbers, as well as repeating decimals (such as 3.12121212..., where "12" repeats over and over) are rational.
If the pattern continues, with one more zero in each group, then it is IRRATIONAL. For a number to be rational, EXACTLY THE SAME pattern must repeat over and over, at least after a certain point.
rational
A decimal is rational if it:either ends and doesn't go on forever; ORit is a repeating decimal.A decimal is irrational if it goes on forever and ever and never stops without repeating.The number: 5.77777777 is rational because it goes on forever, REPEATING the same number (the digit 7).It can also repeat a group of numbers, like the number: 8.789789789789789789See how the "789" is REPEATING over and over again and never stops? That is a rational decimal!
It is rational