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Q: Are decimals in a fraction always rational numbers?

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Yes, terminating decimals are always rational numbers.

Repeating decimals are ALWAYS rational numbers.

They will always be rational numbers.

They are always rational numbers.

they always are.

Yes.

always

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

Yes, they will.

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

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

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

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

Rational numbers can always be expressed as fractions.

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

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.)

Repeating decimals are always rational.

always!

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!

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

Such a sum is always rational.

Irrational numbers are never rational numbers

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.