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There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.

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โˆ™ 2017-01-30 01:46:36
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โˆ™ 2012-08-21 21:40:40

By definition any number that can be expressed as a fraction (with natural numbers) is rational. If decimals are in a fraction, see if you can amplify such fraction for 10, 100, 1000, etc.

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Q: Are decimals in a fraction always rational numbers?
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Related questions

Are terminating decimals always rational numbers?

Yes, terminating decimals are always rational numbers.


Are reapeating decimals sometimes rational numbers?

Repeating decimals are ALWAYS rational numbers.


Will repeating decimals always or never be rational numbers?

They will always be rational numbers.


Are terminating decimals always nether or sometimes a rational numbers?

They are always rational numbers.


Why are terminating decimals rational numbers?

they always are.


Are repeating decimals always rational numbers?

Yes.


Are repeating decimals sometimes always or never rational numbers?

always


Is real number is always a rational number?

No,, not always. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Will repeating decimals always be rational numbers?

Yes, they will.


Are rational numbers always real numbers?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


A natural number is always a rational number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is a rational number always a real number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is rational number always a real number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is a fraction never a rational number?

Fractions where both the numerator and divisor are rational numbers are always rational numbers.


Are rational number is a fraction sometimes always or never?

Rational numbers can always be expressed as fractions.


Can the sum of two rational numbers always be written as a fraction?

Yes, the set of rational numbers is closed under addition.


The sum of two rational numbers is a rational number?

Always true. (Never forget that whole numbers are rational numbers too - use a denominator of 1 yielding an improper fraction of the form of all rational numbers namely a/b.)


Is a repeating decimal sometimes a rational number?

Repeating decimals are always rational.


Are terminating decimals always sometimes or never a rational number?

always!


The quotient of two integers is always a rational number?

Yes. All numbers are rational numbers except repeating decimals like 1.3(repeating). * * * * * Repeating decimals are also rationals. However, the quotient is not defined if the second number is the integer zero!


Why is a real number always rational?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.


Is 5.010010001 continuing in that pattern infinitely rational and how can you convert it to a fraction?

5.01001000100001... is not a rational number. Rational numbers will always repeat when written in a digital form. Since it is not rational, it cannot be written as a fraction with integer numerator and denominator.


Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.


Are irrational numbers always rational?

Irrational numbers are never rational numbers


Is the product of three rational numbers rational or irrational?

A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.