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Decimals are real. They can be rational or irrational.

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8y ago

A decimal number is a real number but it may or may not be a rational number.

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Q: Is a decimal a considered a real number and a rational number?
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To which subsets of the real numbers does the number 1.68 belong?

The number 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. As a rational number, 1.68 can be expressed as the ratio of two integers (84/50). It is also a decimal number, specifically a terminating decimal, where the digits after the decimal point eventually end.


Is 1.25 a real 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).


Is a real number always sometimes or never a rational number?

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


When a number is written in decimal form how can you tell if it's a rational number?

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


How is an irrational number different from rational numbers?

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.

Related questions

What type of number is 234?

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


To which subsets of the real numbers does the number 1.68 belong?

The number 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. As a rational number, 1.68 can be expressed as the ratio of two integers (84/50). It is also a decimal number, specifically a terminating decimal, where the digits after the decimal point eventually end.


What kind of number is 12.36333?

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


Is every rational number a decimal 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.


Is 4.8 a rational number?

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.


Is 1.25 a real 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).


What type of number is 4.3?

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


What is the decimal equivalent of -12?

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


Is negative one-half a real number?

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.


If a number is a real number then is it a rational number?

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


Is a real number always sometimes or never a rational number?

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


Are there real number that are not rational number?

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).