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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.
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Is 3.1214122144 an irrational number?
No, this is a rational number.It is 975,441,317/312,500,000.In general, any number which has a decimal representation that either terminates (ends after some finite length) or repeats is a rational number (not an irrational one). Because this decimal expansion terminates, it is a rational number.However, there are an infinite number of irrational numbers which begin with 3.1214122144.... Generally, we notate the approximation with the ellipses (...) and know we cannot record in a decimal form its exact value.NAOMI WAS HERE
Is 0737373 rational irrational both rational and irrational or neither rational?
It is rational.A number cannot be both rational and 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.
Is 0.454545... an irrational number?
No. It is a rational number. Any repeating decimal or terminating decimal is rational.
