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Why is 3.14 rational but π is not?
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
Repeating decimal definition?
A repeating decimal is a number expressed in decimal form in which, after a finite number of miscellaneous digits, the number continues with a string of a finite number of digits which repeats itself without end.
What are examples of finite and infinite sets?
Some finite numbers in a set: the number of digits on your hand, the number of seats on a bus, and the number of people on earth. Some infinite numbers in a set: the number of positive integers and the number of digits in pi.
Does pi represent a finite or infinite number?
Pi is an irrational number. As such, it has an infinite number of digits.
Is 2.7182845904 a rational number?
Any number with a finite number of decimal digits is RATIONAL.
A decimal with finite number of digits?
Repeating
Why is 3.14 rational but π is not?
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
Repeating decimal definition?
A repeating decimal is a number expressed in decimal form in which, after a finite number of miscellaneous digits, the number continues with a string of a finite number of digits which repeats itself without end.
Is 7.508508507 an irrational number?
If it has a finite number of decimal digits, it's rational.
Is 1.6490221 irrational?
No. Any number which has a finite number of digits if RATIONAL.
Is 45.47 an irrational number?
No. Any number that has a finite number of digits is rational.
What are examples of finite and infinite sets?
Some finite numbers in a set: the number of digits on your hand, the number of seats on a bus, and the number of people on earth. Some infinite numbers in a set: the number of positive integers and the number of digits in pi.
Is 1.39174 a rational number?
Any time a number has a finite number of digits, it is rational.
Is 4.63 a rational number?
ANY number that has a finite number of digits is rational.
Does pi represent a finite or infinite number?
Pi is an irrational number. As such, it has an infinite number of digits.
Who proved that there are an infinite amount of phone numbers?
It was presumably proven when it was discovered that there were infinitely many counting numbers. However, whoever it was, did not consider the mathematical possibility with practicality. The universe has a finite life. Within that our solar system is finite. People, in their turn, have finite lives. In a finite life you can only "dial" a finite number of digits. therefore, you can only call a number if it has a finite number of digits. For any finite number of digits, there are only a finite amount of phone numbers. So, having infinitely many telephone numbers is no use if you need to wait an infinite amount of time (longer than you'll live) for the first person to call you!
Is 2.7182845904 a rational number?
Any number with a finite number of decimal digits is RATIONAL.
