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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 decimals that have a finite number of digits?
Decimals that have a finite number of digits are known as terminating decimals. These numbers can be expressed as fractions where the denominator is a power of 10. For example, 0.75 and 0.5 are terminating decimals, as they can be written as 75/100 and 5/10, respectively. In contrast, non-terminating decimals, such as 0.333..., do not have a finite number of digits.
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.
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 1.6490221 irrational?
No. Any number which has a finite number of digits if RATIONAL.
Is 7.508508507 an irrational number?
If it has a finite number of decimal digits, it's rational.
Is 45.47 an irrational number?
No. Any number that has a finite number of digits is rational.
What are decimals that have a finite number of digits?
Decimals that have a finite number of digits are known as terminating decimals. These numbers can be expressed as fractions where the denominator is a power of 10. For example, 0.75 and 0.5 are terminating decimals, as they can be written as 75/100 and 5/10, respectively. In contrast, non-terminating decimals, such as 0.333..., do not have a finite number of digits.
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 4.63 a rational number?
ANY number that has a finite number of digits is rational.
Is 1.39174 a rational number?
Any time a number has a finite number of digits, it is rational.
Is 2.7182845904 a rational number?
Any number with a finite number of decimal digits is RATIONAL.
