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How is an irrational number different from rational numbers?
Irrationals differ from Rationals by definition. If a real number is not a Rational Number then it is Irrational. One way to find out if a number is either Rational or Irrational is to look at its decimal value. If the digits past the decimal point terminate then it is a Rational number. If the digits past the decimal point repeat the same digit forever, of if it repeats a sequence of digits over and over, then it is a Rational Number. If the digits past the decimal point do not repeat in any pattern, and do not stop, then it is an Irrational number. Another way to find out if a number is Rational or Irrational is if it can be exactly described by a fraction (ratio). If it is the same as some fraction, then it is a Rational Number. Irrationals cannot be exactly described as a fraction.
Is 0737373 rational irrational both rational and irrational or neither rational?
It is rational.A number cannot be both rational and irrational.
What is the decimal expansion of an irrational number?
A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.
Is pi a terminating or a repeating decimal?
It is non-terminating decimal and therefore it is an irrational number
Is every rational number a repeating decimal?
No. A rational number is any terminating numeral. A repeating decimal is irrational.
