Q: Is a decimal a considered a real number and a rational number?

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Yes, it is. Moreover, it is also a rational number. 1.25 * 4 = 5, so 1.25 = 5/4. All rational numbers are real numbers, so 1.25 is real. Any number you can think of, using decimal notation is real. Real numbers are allowed to have an infinity of digits (behind the decimal point).

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.

We know that a real number is rational if and only if, when expressed as a decimal, it has a finite or recurring expansion. . . (put a point exactly over 8 and 2). For example, 5/4 = 1.25, 2/3 = 0.6, 20/7 = 2.857142857 or 20/7 = 2.857142

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.

Real number, Rational Number

Related questions

It is a negative rational number in decimal form. It is also a real number.

It is the decimal expression of a positive rational and real number.

All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.

48 is rational. It can be written as a/b where a and b are integers and b is not = 0 It is written as 84/1 or 96/2. It is also a terminating/repeating decimal. (In this case, terminating decimal). Real numbers can only be rational or irrational, not both. Therefore it is only rational, not rational and irrational. b.t.w. It is also a natural number, whole number, integer, rational number, real number and complex number.

Yes, it is. Moreover, it is also a rational number. 1.25 * 4 = 5, so 1.25 = 5/4. All rational numbers are real numbers, so 1.25 is real. Any number you can think of, using decimal notation is real. Real numbers are allowed to have an infinity of digits (behind the decimal point).

It is different kinds of numbers including a decimal number, a positive number, a rational number and a real number.

-12 is the decimal equivalent of -12. -12 is also an integer, rational number, and a real number to name a few more.

Yes, -1/2 or -0.5 is a real number. It is also a rational number and a nonrepeating decimal rational number. All negative and positive numbers as well as zero are real numbers. The real numbers also includes the irrational numbers.

Not necessarily. All rational numbers are real, not all real numbers are rational.

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.

A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).

Yes. -3 is both rational and real. -3 is an integer. All integers are rational numbers. All rational numbers are real numbers. Thus -3 is a rational number and a real number.