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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.
