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

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โˆ™ 2016-10-29 16:07:15
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Q: Can the sum of two rational numbers always be written as a fraction?
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Related questions

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.


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.


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.


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 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 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.


Is the quotient of two nonzero numbers always a rational number?

Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.


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.)


Will repeating decimals always or never be rational numbers?

They will always be rational numbers.


Why is a real number always rational?

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

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