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Are decimals in a fraction always rational numbers?
There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.
A repeating decimal is a real number?
Yes repeating decimals are real numbers. They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction. Nonreal numbers are imaginary numbers which are expressed with i, or sqrt(-1).
Will 0.54732814 produce a rational number when multiplied by 0.5?
The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.
How is multiplying rational numbers like multiplying fractions and multiplying decimals?
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
Why are terminating decimals rational numbers?
they always are.
Is a rational number a repeating decimal?
All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.
Are terminating and repeating decimals irrational numbers?
Terminating and repeating decimals are rational numbers.
Are reapeating decimals sometimes rational numbers?
Repeating decimals are ALWAYS rational numbers.
Are repeating decimals rational numbers?
Yes.
Are repeating decimals rational or irrational numbers?
Repeating decimals are rational numbers if there is a pattern, like 0.22222222. If it is not a pattern, like 0.568964329, it is an irrational number.
Will repeating decimals always or never be rational numbers?
They will always be rational numbers.
Are repeating decimals always rational numbers?
Yes.
All repeating decimals are rational numbers?
Yes.
Are repeating decimals rational?
Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.
Why are negative repeating decimals, rational?
If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.
Is repeating decimals are sometimes rational numbers rationals?
YES
Will repeating decimals always be rational numbers?
Yes, they will.
