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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.)
What is the definition of repeating decimals in mathematics?
Repeating decimals consist of a fixed string of digits which repeat infinitely in the decimal representation of a number. These may start anywhere after a finite number of digits.
When expressed as a decimals rational number will be what or repeating?
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
is 2.91 an irrational number?
No. Anything that has a finite number of decimals (or repeating decimals) is a rational number.
Is 13.61324 rational or irrational?
Any number with a finite number of decimals is rational.
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.)
What is the definition of repeating decimals in mathematics?
Repeating decimals consist of a fixed string of digits which repeat infinitely in the decimal representation of a number. These may start anywhere after a finite number of digits.
When expressed as a decimals rational number will be what or repeating?
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
What are terminating decimals?
They are decimal representations of numbers which stop after a finite number of digits (or continue with an infinite string of 0s).
Is 3.456 rational number?
Any number with terminating decimals (a finite number of decimal digits) is rational. (If it is non-terminating, but periodic, it is also rational.)
What is finite decimal?
Pressumably that refers to the fact that the number of decimals is finite (not infinite). For example, if you divide 1 / 8, you get a finite number of decimals: 0.125 It ends there. Any further decimal digits would be zero, and can be omitted. On the other hand, if you divide 1 / 3, you get: 0.33333... The 3s continue indefinitely.
What is the difference between a terminating and a repeating decimal?
A terminating decimal reaches an end after a finite number of digits whereas a repeating decimal, after a finite number of digits, has a string of decimals (also of finite length) that repeats forever. Thus 1.2356 is a terminating decimal. 1.456333... is a repeating decimal with the digit 3 repeating an infinite number of times. So also is 23.56142857142857...... where the string 142857 repeats to infinity. In fact, terminating decimals may be viewed as repeating decimals with zero repeating infinitely.
is 2.91 an irrational number?
No. Anything that has a finite number of decimals (or repeating decimals) is a rational number.
Is -46.27 a rational number?
ANY number with a finite number of decimals (and some that have an infinite number of decimals) are rational.
Why is a decimal rational?
Some decimals are rational, and some aren't. A decimal is rational when it terminates or repeats.
Is 6.26 a rational number?
Any number with a finite amount of decimal digits - as well as periodically repeating decimals, such as 1/3 = 0.33333..., or 1/7 = 0.142857142857... - is rational.
A decimal with finite number of digits?
Repeating
